- If a blueprint has a scale of 1 inch equals 30 feet, and a room on the blueprint is 4 inches by 6 inches, what is the actual size of the room in feet?
- 90 ft by 120 ft
- 120 ft by 160 ft
- 150 ft by 180 ft
- 120 ft by 180 ft
Correct answer: 120 ft by 180 ft
At 1 in = 30 ft the 4 in side stands for 4 x 30 = 120 ft and the 6 in side for 6 x 30 = 180 ft, giving 120 ft by 180 ft. 90 ft by 120 ft is what 3 in by 4 in would stand for, not the 4 in by 6 in drawn. 120 ft by 160 ft keeps the first side right but scales the second one at about 26.7 ft per inch. 150 ft by 180 ft needs a 5 in first side at the stated scale.
- A floor plan shows a rectangular swimming pool that is 3 inches long and 2 inches wide on the blueprint. If the scale is 1 inch = 10 feet, what is the area of the actual swimming pool in square feet?
- 300 sq ft, or 33.3 sq yd
- 60 sq ft, or 6.7 sq yd
- 30 sq ft, or 3.3 sq yd
- 600 sq ft, or 66.7 sq yd
Correct answer: 600 sq ft, or 66.7 sq yd
At 1 in = 10 ft the pool is 30 ft long and 20 ft wide, so its surface is 30 x 20 = 600 sq ft, or 66.7 sq yd. 300 sq ft, or 33.3 sq yd is half the true area, the figure that follows from halving one scaled side to 10 ft and working out 30 x 10. 60 sq ft, or 6.7 sq yd applies the 10 ft factor once to the 6 sq in drawn on paper, which under-scales an area. 30 sq ft, or 3.3 sq yd is the scaled length by itself and is not an area at all.
- A scale model of a bridge span is 8 inches long and represents an actual span of 240 feet. If the height of the model bridge is 1 inch, what is the actual height of the bridge?
- 10 ft, or 3.3 yd
- 30 ft, or 10 yd
- 60 ft, or 20 yd
- 120 ft, or 40 yd
Correct answer: 30 ft, or 10 yd
The model works out at 240 ft divided by 8 in, which is 30 ft per inch, so a 1 in model height stands for 30 ft, or 10 yd. 10 ft, or 3.3 yd assumes a 1 in = 10 ft scale that the 8 in span does not support. 60 ft, or 20 yd doubles the per-inch figure for no reason. 120 ft, or 40 yd halves the 240 ft span instead of dividing it by the 8 in drawn length.
- A map includes a rectangular parking lot that measures 2 inches by 3 inches. With a scale of 1 inch = 50 feet, what is the perimeter of the actual parking lot?
Correct answer: 500 ft
At 1 in = 50 ft the lot is 100 ft by 150 ft, and twice the sum of those sides is 2 x 250 = 500 ft. 400 ft would need both pairs of sides to measure 100 ft. 600 ft would need both pairs to measure 150 ft. 700 ft would need a 200 ft side, which means scaling the 2 in edge at 100 ft per inch.
- If a construction plan shows an equilateral triangle with each side measuring 2 inches and the scale is 1 inch = 25 feet, what is the actual perimeter of the triangular area?
- 75 ft of hedges
- 50 ft of border
- 150 ft of fence
- 100 ft of trim
Correct answer: 150 ft of fence
Each 2 in side stands for 2 x 25 = 50 ft, and three equal sides give 3 x 50 = 150 ft of fence. 75 ft of hedges comes from scaling 1 in sides rather than the 2 in sides drawn. 50 ft of border is one side by itself and ignores the other two. 100 ft of trim adds up only two of the three sides, 2 x 50 ft, and leaves the last one out.
- A site plan shows a circular garden with a radius of 1.5 inches. If the scale is 1 inch = 10 feet, what is the circumference of the actual garden in feet?
Correct answer: 30π ft
A 1.5 in radius at 1 in = 10 ft is a real radius of 15 ft, and the distance round a circle is 2 x pi x r, so the answer is 30π ft. 60π ft treats 15 ft as the radius of a circle twice that size, that is, it uses the diameter where the radius belongs. 15π ft uses pi times the radius, which leaves out the factor of two. 30 ft gives the doubled radius but drops pi from the formula.
- A landscaping design includes a path that runs from the northwest corner of a square park to the southeast corner. If each side of the park measures 4 inches on the plan, and the scale is 1 inch = 15 feet, what is the actual length of the path?
- 4√2 ft of decking
- 60√2 ft of gravel
- 60 ft of concrete
- 120√2 ft of trail
Correct answer: 60√2 ft of gravel
Each 4 in side stands for 4 x 15 = 60 ft, and a corner-to-corner run across a square is the side times the square root of two, so the answer is 60√2 ft of gravel. 4√2 ft of decking is the diagonal measured on the plan itself, in inches, with the 1 in = 15 ft scale never applied. 60 ft of concrete is a single side and ignores the diagonal entirely. 120√2 ft of trail is the diagonal of a square with 120 ft sides, twice the size of the one drawn.
- A blueprint shows a pentagonal room where each side is 1.5 inches long. If the scale is 1 inch = 40 feet, what is the perimeter of the actual room in feet?
Correct answer: 300 ft
Each 1.5 in side stands for 1.5 x 40 = 60 ft, and a five-sided figure has five of them, so 5 x 60 = 300 ft. 240 ft totals only four sides. 120 ft totals two. 60 ft is a single side on its own.
- A construction plan shows a hexagonal window with sides of 2 inches each. If the scale is 1 inch = 6 feet, what is the total length of the frame needed to go around the window in feet?
Correct answer: 72 ft
Each 2 in side stands for 2 x 6 = 12 ft, and a six-sided opening needs six of them, so the frame runs 6 x 12 = 72 ft. 36 ft covers only three of the six sides. 12 ft is one side alone. 24 ft is two sides, which is what a single square corner would need.
- On a landscaping blueprint, a circular flower bed has a circumference of 3.14 inches. If the scale is 1 inch = 20 feet, what is the diameter of the actual flower bed in feet?
Correct answer: 20 ft
The drawn distance round the bed is 3.14 in, which at 1 in = 20 ft stands for 62.8 ft on the ground. Since that distance equals pi times the width across, the width is 62.8 divided by 3.14, so 20 ft. 40 ft doubles the width instead of dividing by pi. 62.8 ft is the scaled distance round the bed, not the width across it. 31.4 ft is half that distance round, which is not the width across either.
- A development plan features a walking path that follows the outer edge of a sector of a circle. The sector has a central angle of 60 degrees and a radius of 3 inches on the plan. If the scale is 1 inch = 30 feet, what is the length of the walking path along the sector's arc in feet?
- 30π ft, or 10π yd
- 15π ft, or 5π yd
- 45π ft, or 15π yd
- 90π ft, or 30π yd
Correct answer: 30π ft, or 10π yd
A 3 in radius at 1 in = 30 ft is 90 ft on the ground, and 60 degrees is one sixth of a full turn, so the curved run is one sixth of 2 x pi x 90 = 180π, giving 30π ft, or 10π yd. 15π ft, or 5π yd takes one twelfth of the full curve instead of one sixth. 45π ft, or 15π yd takes one quarter. 90π ft, or 30π yd takes half, which suits a 180 degree opening.
- A detailed architectural rendering shows an octagonal gazebo with each side measuring 1 inch on the blueprint. If the scale is 1 inch = 12 feet, how much fencing is required to enclose the gazebo perimeter in feet?
Correct answer: 96 ft
Each 1 in side stands for 1 x 12 = 12 ft, and an eight-sided figure has eight of them, so the enclosure needs 8 x 12 = 96 ft. 48 ft counts only four sides. 24 ft counts two. 72 ft counts six, which would leave two sides open.
- A pulley system is designed to lift a 200-pound weight using a force of 50 pounds. How many pulleys are needed in the system?
- 2 in the set
- 4 in the set
- 3 in the set
- 5 in the set
Correct answer: 4 in the set
Mechanical advantage is load divided by effort, so 200 divided by 50 is 4, and that many supporting parts of rope means 4 in the set. 2 in the set would lift only 100 lb with a 50 lb pull. 3 in the set would lift 150 lb. 5 in the set would raise 250 lb, more than the load given.
- In a hydraulic system, a small piston with a diameter of 2 inches is used to lift a large piston with a diameter of 8 inches. What force must be applied to the small piston to lift a 1600-pound weight on the large piston?
- 100 lb at the 2 in ram
- 200 lb at the 2 in ram
- 400 lb at the 2 in ram
- 800 lb at the 2 in ram
Correct answer: 100 lb at the 2 in ram
Area goes with the square of the width across, so the two faces stand in the ratio 2 squared to 8 squared, that is 1 to 16, and 1600 divided by 16 gives 100 lb at the 2 in ram. 200 lb at the 2 in ram divides the load by 8 rather than by 16. 400 lb at the 2 in ram uses the plain 2 to 8 width ratio and forgets to square it. 800 lb at the 2 in ram simply halves the load.
- A gear system consists of a 20-tooth drive gear and a 60-tooth driven gear. If the drive gear rotates at 120 RPM, what is the rotation speed of the driven gear?
- It whirls at 60 rpm off 120 rpm
- It swings at 80 rpm off 120 rpm
- It cycles at 40 rpm off 120 rpm
- It turns at 360 rpm off 120 rpm
Correct answer: It cycles at 40 rpm off 120 rpm
Speed falls in proportion to the tooth count, so the output runs at 120 x 20 / 60. It cycles at 40 rpm off 120 rpm. It whirls at 60 rpm off 120 rpm would need a 2 to 1 tooth count, not 3 to 1. It swings at 80 rpm off 120 rpm would need a 3 to 2 count. It turns at 360 rpm off 120 rpm multiplies by the tooth ratio instead of dividing, which is what a 60 tooth driver into a 20 tooth follower would give.
- A lever with a length of 5 feet has the fulcrum placed 1 foot from the load. If the effort arm is 4 feet long, what effort force is needed to lift a 200-pound load?
- 50 lb on a 4 ft beam
- 40 lb on a 4 ft bar
- 100 lb on a 4 ft arm
- 160 lb on a 4 ft rod
Correct answer: 50 lb on a 4 ft beam
A lever gives an advantage equal to the effort arm over the load arm, here 4 divided by 1, so 4, and 200 divided by 4 is 50 lb on a 4 ft beam. 40 lb on a 4 ft bar divides by the whole 5 ft length rather than by the 4 to 1 ratio. 100 lb on a 4 ft arm assumes an advantage of only 2. 160 lb on a 4 ft rod scales the load by four fifths instead of dividing it.
- A screw has a pitch of 0.1 inches, meaning it moves forward 0.1 inches for every complete turn. If the screw is turned 50 times, how far will it have moved?
- 2 in. per 50 rev
- 10 in. per 50 rev
- 20 in. per 50 rev
- 5 in. per 50 rev
Correct answer: 5 in. per 50 rev
Travel is the pitch times the number of turns, so 0.1 x 50 gives 5 in. per 50 rev. 2 in. per 50 rev would need a pitch of 0.04. 10 in. per 50 rev would need a pitch of 0.2, twice the one stated. 20 in. per 50 rev would need a pitch of 0.4, four times the one stated.
- A belt connects two pulleys with diameters of 2 inches and 4 inches, respectively. If the smaller pulley rotates at 200 RPM, what is the rotational speed of the larger pulley?
- 50 rpm out for 200 rpm in
- 400 rpm out for 200 rpm in
- 100 rpm out for 200 rpm in
- 200 rpm out for 200 rpm in
Correct answer: 100 rpm out for 200 rpm in
Belted wheels run at speeds inversely proportional to their widths across, so the big one runs at 200 x 2 / 4. That is 100 rpm out for 200 rpm in. 50 rpm out for 200 rpm in would need a 4 to 1 width ratio rather than 2 to 1. 400 rpm out for 200 rpm in multiplies by the width ratio instead of dividing, which is what driving from the big wheel would give. 200 rpm out for 200 rpm in would need two wheels of equal width.
- In a fluid system, if the pressure at one point is 50 PSI and the flow rate is 10 gallons per minute, what will be the flow rate if the pressure is increased to 100 PSI?
- 5.00 gpm of yield
- 14.14 gpm of feed
- 10.00 gpm of draw
- 20.00 gpm of flux
Correct answer: 14.14 gpm of feed
Through a fixed opening the rate climbs with the square root of the driving pressure, so doubling 50 psi to 100 psi multiplies 10 by the square root of 2, about 1.414, giving 14.14 gpm of feed. 5.00 gpm of yield halves the rate, which is the wrong direction entirely. 10.00 gpm of draw treats the rate as unchanged by pressure. 20.00 gpm of flux doubles the rate, treating it as directly proportional to pressure rather than to its square root.
- A wheel and axle mechanism is used to raise a weight. If the radius of the wheel is 2 feet and the radius of the axle is 0.5 feet, what effort is needed to lift a 100-pound weight?
- 50 lb on a 2 ft drum
- 100 lb on a 2 ft disc
- 200 lb on a 2 ft band
- 25 lb on a 2 ft crank
Correct answer: 25 lb on a 2 ft crank
The advantage is the big radius over the small one, 2 divided by 0.5, which is 4, so the pull needed is 100 divided by 4, that is 25 lb on a 2 ft crank. 50 lb on a 2 ft drum assumes an advantage of only 2. 100 lb on a 2 ft disc assumes no advantage at all. 200 lb on a 2 ft band multiplies the 100 lb load by the 2 ft wheel radius, doubling it instead of quartering it.
- If a force of 10 pounds is applied to a 6-inch long wrench to loosen a bolt, what is the torque applied to the bolt in foot-pounds?
- 10 ft-lb at 0.5 ft
- 6 ft-lb at 0.5 ft
- 5 ft-lb at 0.5 ft
- 60 ft-lb at 0.5 ft
Correct answer: 5 ft-lb at 0.5 ft
Twist is pull times arm length in feet, and 6 in is half a foot, so 10 x 0.5 gives 5 ft-lb at 0.5 ft. 10 ft-lb at 0.5 ft would take a 20 lb pull on that half-foot arm, double the 10 lb applied. 6 ft-lb at 0.5 ft would take a 12 lb pull. 60 ft-lb at 0.5 ft would take a 120 lb pull, twelve times the force given.
- A centrifugal pump is operating at a speed of 1200 RPM and delivering a flow rate of 300 gallons per minute. If the pump speed is increased to 1800 RPM, what will be the new flow rate, assuming pump efficiency remains constant?
- 600 gpm of current
- 900 gpm of suction
- 1200 gpm of output
- 450 gpm of outflow
Correct answer: 450 gpm of outflow
Delivery rises in direct proportion to shaft speed, and 1800 over 1200 is 1.5, so 300 x 1.5 gives 450 gpm of outflow. 600 gpm of current doubles the rate, which would need twice the speed. 900 gpm of suction triples it. 1200 gpm of output quadruples the rate, which would need four times the original speed rather than the 1.5 times given.
- A pressurized container has a safety valve set to release at 150 PSI. If the area of the valve opening is 0.1 square inches, what is the force exerted by the pressurized gas on the valve at the moment it opens?
- 150 lb of steady force on 0.1 sq in
- 15 lb of overall force on 0.1 sq in
- 15000 lb of full force on 0.1 sq in
- 1500 lb of axial force on 0.1 sq in
Correct answer: 15 lb of overall force on 0.1 sq in
Force equals the pressure times the area it acts on, so 150 psi x 0.1 sq in gives 15 lb of overall force on 0.1 sq in. 150 lb of steady force on 0.1 sq in drops the 0.1 factor and repeats the psi figure as though a pressure reading were already a force. 1500 lb of axial force on 0.1 sq in multiplies by 10 rather than by 0.1. 15000 lb of full force on 0.1 sq in multiplies by 100, which would suit a seat a thousand times larger than the one given.
- In a hydraulic brake system, the master cylinder has a diameter of 1 inch, and the slave cylinder has a diameter of 2 inches. If the force applied to the master cylinder is 10 pounds, what is the force exerted by the slave cylinder?
- 40 lb on a 2 in ram
- 10 lb on a 2 in ram
- 20 lb on a 2 in ram
- 80 lb on a 2 in ram
Correct answer: 40 lb on a 2 in ram
Output climbs with the ratio of the face areas, and area goes with the square of the width across, so 2 squared over 1 squared is 4 and 10 x 4 gives 40 lb on a 2 in ram. 10 lb on a 2 in ram assumes the two faces are the same size. 20 lb on a 2 in ram uses the plain 2 to 1 width ratio without squaring it. 80 lb on a 2 in ram squares the width ratio and then doubles the result as well.
- A worm gear reduces the speed of an input shaft from 1800 RPM to 200 RPM. What is the gear ratio?
- 8 to 1 gear
- 9 to 1 drive
- 10 to 1 worm
- 12 to 1 pair
Correct answer: 9 to 1 drive
The ratio is input speed over output speed, and 1800 divided by 200 is 9, so this is a 9 to 1 drive. An 8 to 1 gear would leave the output at 225 rpm. A 10 to 1 worm would leave it at 180 rpm. A 12 to 1 pair would leave it at 150 rpm, and none of those match the 200 rpm stated.
- If a force of 200 Newtons is applied at the end of a 2-meter long lever arm to lift a weight, and the lever is balanced with the fulcrum 0.5 meters from the weight, what is the weight being lifted?
Correct answer: 800 N
The advantage is the effort arm over the load arm, 2 divided by 0.5, which is 4, so the load raised is 200 x 4 = 800 N. 50 N divides the effort by 4 instead of multiplying. 200 N treats the bar as balanced arm for arm. 400 N uses an advantage of 2, which would put the pivot 1 m from the load rather than 0.5 m.
- A fan is connected to a motor by a belt. If the diameter of the motor pulley is 4 inches and the diameter of the fan pulley is 2 inches, and the motor runs at 1800 RPM, what is the RPM of the fan?
- 3600 rpm out for 1800 rpm in
- 900 rpm out for 1800 rpm in
- 1800 rpm out for 1800 rpm in
- 7200 rpm out for 1800 rpm in
Correct answer: 3600 rpm out for 1800 rpm in
Speed runs inversely with wheel width across, so the small 2 in wheel spins at 1800 x 4 / 2, giving 3600 rpm out for 1800 rpm in. 900 rpm out for 1800 rpm in inverts the ratio and slows the small wheel instead. 1800 rpm out for 1800 rpm in would need both wheels the same size. 7200 rpm out for 1800 rpm in squares the 2 to 1 ratio rather than applying it once.
- A hydraulic press has a force output of 10,000 pounds. If the input piston has an area of 1 square inch and the output piston has an area of 100 square inches, what is the input force required?
- 100 lb of total force on 1 sq in
- 200 lb of manual push on 1 sq in
- 1000 lb of pump force on 1 sq in
- 10000 lb of ram force on 1 sq in
Correct answer: 100 lb of total force on 1 sq in
The two faces stand at 1 to 100, so the small one needs only one hundredth of the load: 10000 divided by 100 gives 100 lb of total force on 1 sq in. 200 lb of manual push on 1 sq in divides by 50 instead of by 100. 1000 lb of pump force on 1 sq in divides by 10, which suits a face ten times the small one rather than a hundred times. 10000 lb of ram force on 1 sq in applies no advantage at all and merely repeats the load figure.
- An inclined plane has a height of 2 meters and a length of 10 meters. If a force of 50 Newtons is required to push an object up the plane, what is the weight of the object?
- 10 N up the 10 m run
- 100 N up the 10 m run
- 250 N up the 10 m run
- 500 N up the 10 m run
Correct answer: 250 N up the 10 m run
A slope gives an advantage of its length over its rise, 10 divided by 2, so 5, and a 50 N push therefore moves 50 x 5 = 250 N up the 10 m run. 10 N up the 10 m run divides the push by 5 rather than multiplying. 100 N up the 10 m run uses an advantage of only 2, the rise itself. 500 N up the 10 m run uses an advantage of 10, the full length, ignoring the 2 m rise.
- A pinion gear with 10 teeth meshes with a rack. If the pinion rotates 360 degrees, how far in millimeters does the rack move, assuming the pitch of the gear is 5 mm?
- 100 mm of shift
- 150 mm of creep
- 200 mm of slide
- 50 mm of travel
Correct answer: 50 mm of travel
One full turn rolls every tooth past the rack, so the movement is 10 teeth x 5 mm each, that is 50 mm of travel. 100 mm of shift doubles the tooth count. 150 mm of creep triples it. 200 mm of slide assumes 40 teeth, four times the number given.
- In a cam and follower mechanism, the cam has a base circle diameter of 50 mm and a lift of 20 mm. What is the maximum diameter of the cam?
- 70 mm of throw
- 110 mm of girth
- 130 mm of reach
- 90 mm of spread
Correct answer: 90 mm of spread
Taking the rise as acting on both sides of the base circle, as the source solution does, the greatest width across is 50 + 2 x 20, giving 90 mm of spread. 70 mm of throw adds the rise once rather than twice. 110 mm of girth adds it three times. 130 mm of reach adds it four times, which would suit a rise on both sides of a doubled base.
- A fluid is flowing through a pipe with a diameter of 100 mm at a velocity of 2 m/s. If the diameter of the pipe is reduced to 50 mm, what is the new velocity of the fluid, assuming incompressible flow?
- 8 m/s in a 50 mm spout
- 1 m/s in a 50 mm mouth
- 4 m/s in a 50 mm inlet
- 16 m/s in a 50 mm duct
Correct answer: 8 m/s in a 50 mm spout
The same volume must pass each second, and area falls with the square of the width across, so halving 100 mm to 50 mm quarters the area and quadruples the speed: 2 x 4 gives 8 m/s in a 50 mm spout. 1 m/s in a 50 mm mouth halves the speed, which is the wrong direction. 4 m/s in a 50 mm inlet uses the plain 2 to 1 width ratio without squaring it. 16 m/s in a 50 mm duct cubes the 2 to 1 width ratio instead of squaring it, since 2 x 2 cubed is 16.
- A belt transfers power from a drive pulley with a diameter of 300 mm to a driven pulley with a diameter of 600 mm. If the drive pulley is rotating at 1500 RPM, what is the torque on the driven pulley, assuming 90% efficiency and no slip?
- Doubled drive wheel torsion
- Halved drive wheel leverage
- Identical drive wheel force
- Quadrupled drive wheel pull
Correct answer: Doubled drive wheel torsion
A belt trades speed for turning effort in step with wheel size. The 600 mm wheel is twice the width across of the 300 mm one, so it turns at half of 1500, that is 750 rpm, and would pick up twice the torque if the drive lost nothing. The stem allows 90 percent transfer, which trims that to 0.9 x 2 = 1.8 times the drive figure, a slight shortfall against the 2 to 1 step the sizes set, so Doubled drive wheel torsion is the answer. Halved drive wheel leverage inverts the ratio and would follow from driving the small wheel from the large one. Identical drive wheel force would need two wheels of matching size. Quadrupled drive wheel pull squares the 2 to 1 size ratio, but the turning effort follows the ratio itself, not its square.
- A load is lifted by a crane using a steel cable that is wound around a drum with a radius of 1 meter. If the tension in the cable is 1000 N and the drum rotates 10 times to lift the load to the desired height, what is the work done by the crane?
- 10,000 J
- 20,000 J
- 31,400 J
- 62,800 J
Correct answer: 62,800 J
Each turn of a 1 m drum pays out 2 x pi x 1 = 6.28 m of cable, so ten turns raise the load 62.8 m, and 1000 N over that distance is 62,800 J. 10,000 J treats each turn as 1 m of travel. 20,000 J treats each turn as the 2 m width across the drum. 31,400 J uses pi times the radius rather than twice pi times the radius.
- A spherical tank has a radius of 2 meters and is filled with a fluid at a pressure of 100 kPa. What is the total force exerted by the fluid on the top hemisphere of the tank?
- 400π kN of uplift
- 800π kN of burst
- 1200π kN of force
- 1600π kN of shear
Correct answer: 400π kN of uplift
Even pressure on a dome pushes outward everywhere, and those sideways pushes cancel, so the net push on the upper half equals the pressure times the flat circle it covers: 100 x pi x 2 squared, that is 400π kN of uplift. 800π kN of burst uses the curved skin area of the half dome, which overstates the net push because it ignores the canceling. 1200π kN of force uses three times the flat circle. 1600π kN of shear uses the full sphere skin area.
- A car's engine generates 200 Nm of torque and is connected to wheels of radius 0.3 m. What is the maximum force that can be exerted on the road by the wheels?
- 600.00 N of push
- 750.00 N of pull
- 833.33 N of haul
- 666.67 N of grip
Correct answer: 666.67 N of grip
Push at the rim is the turning effort divided by the rolling radius, so 200 divided by 0.3 gives 666.67 N of grip. 600.00 N of push would need a 0.333 m radius. 750.00 N of pull would need a 0.267 m radius. 833.33 N of haul would need a 0.24 m radius, smaller than the wheel described.
- In a gear train consisting of 3 gears, the first gear has 10 teeth and is rotating at 1000 RPM. The second gear has 20 teeth and the third gear has 30 teeth. What is the rotational speed of the third gear?
- 500.00 rpm of turn
- 333.33 rpm of spin
- 750.00 rpm of roll
- 1000.00 rpm of run
Correct answer: 333.33 rpm of spin
In a simple train the middle wheel only passes movement along, so the last speed depends on the first and last tooth counts: 1000 x 10 / 30 gives 333.33 rpm of spin. 500.00 rpm of turn uses the 20 tooth middle wheel as though it set the output. 750.00 rpm of roll applies a 4 to 3 ratio that no pair of these wheels gives. 1000.00 rpm of run treats the train as though every wheel had the same tooth count.
- A column is subjected to a compressive load of 100 kN and has a cross-sectional area of 200 mm2. What is the stress in the column?
- 0.5 MPa on 200 sq mm
- 5 MPa on 200 sq mm
- 500 MPa on 200 sq mm
- 50 MPa on 200 sq mm
Correct answer: 500 MPa on 200 sq mm
Stress is load over area. A 100 kN load is 100,000 N and 200 sq mm is 0.0002 sq m, so the quotient is 500,000,000 N per sq m, which is 500 MPa on 200 sq mm. 50 MPa on 200 sq mm is out by a factor of ten in the area conversion. 5 MPa on 200 sq mm is out by a hundred. 0.5 MPa on 200 sq mm divides kN straight by sq mm with no conversion at all.
- A fan blade rotates at a speed of 1200 RPM. If the tip of the blade is 0.75 meters from the center, what is the linear velocity of the tip?
- 180 m/s of sweep
- 270 m/s of whirl
- 90 m/s of motion
- 360 m/s of surge
Correct answer: 90 m/s of motion
Turning 1200 times a minute is 20 times a second, and each turn carries the tip 2 x pi x 0.75 = 4.71 m, so the tip covers about 94.2 m each second. Of the figures offered, 90 m/s of motion is the nearest and is the intended answer. 180 m/s of sweep doubles that. 270 m/s of whirl trebles it. 360 m/s of surge is four times it, which would need a tip 3 m from the center.
- A pulley system consists of a fixed pulley and a movable pulley to lift a load. If the effort required to lift a 400 N load is 200 N, what is the mechanical advantage of the system?
- MA of 1
- MA of 3
- MA of 2
- MA of 4
Correct answer: MA of 2
Correct answer: MA of 2. Explanation: mechanical advantage is the load force divided by the effort force, so 400 N over 200 N gives MA of 2. MA of 1 would mean the effort equaled the load, which is what a single fixed pulley alone delivers; MA of 3 and MA of 4 would each require three or four rope falls supporting the load, and this arrangement has only two.
- A pressure gauge connected to a tank containing a gas reads 300 kPa. If the atmospheric pressure is 100 kPa, what is the absolute pressure of the gas in the tank?
- 400 kPa abs
- 200 kPa abs
- 300 kPa abs
- 500 kPa abs
Correct answer: 400 kPa abs
Correct answer: 400 kPa abs. Explanation: absolute pressure is gauge pressure plus atmospheric pressure, so 300 plus 100 gives 400 kPa abs. 200 kPa abs comes from subtracting the atmosphere instead of adding it; 300 kPa abs simply repeats the gauge reading and ignores the atmosphere altogether; 500 kPa abs counts the atmospheric contribution twice.
- In a compound gear train, Gear A has 40 teeth and is meshed with Gear B which has 20 teeth. Gear B is on the same shaft as Gear C, which has 30 teeth and meshes with Gear D having 15 teeth. What is the overall gear ratio of the system?
Correct answer: 4 to 1
Correct answer: 4 to 1. Explanation: the overall ratio is the product of the two meshes, 40/20 = 2 and 30/15 = 2, and 2 times 2 gives 4 to 1. 2 to 1 uses the A-to-B mesh alone and ignores the second stage; 6 to 1 follows only if the C-to-D mesh is misread as 30 over 10; 8 to 1 follows only if the shared shaft is counted as a further two-fold mesh.
- In a mechanical system, what component is typically used to convert rotary motion into linear motion?
- Bevel gears
- Rope sheave
- Grooved cam
- Roller race
Correct answer: Grooved cam
Correct answer: Grooved cam. Explanation: a Grooved cam turns shaft rotation into a back-and-forth straight-line stroke, because its profile drives a follower out and back once per revolution. Bevel gears only redirect rotation between angled shafts, so the output stays rotary; a Rope sheave is a grooved wheel that guides rope while itself turning; a Roller race is a bearing surface that reduces friction between turning parts.
- Which type of bearing is specifically designed to support axial loads?
- Needle bearing
- Sleeve bearing
- Thrust bearing
- Roller bearing
Correct answer: Thrust bearing
Correct answer: Thrust bearing. Explanation: a Thrust bearing seats its rolling elements between flat washers so the load travels along the shaft axis rather than across it. A Needle bearing uses long slender rollers packed close together and carries load across the shaft only; a Sleeve bearing is a plain journal surface with the same cross-shaft limitation; a Roller bearing with cylindrical elements likewise takes cross-shaft load and shifts sideways under end pressure.
- What is the primary function of a hydraulic fluid in a hydraulic system?
- Lessening friction
- Transmitting power
- Controlling warmth
- Trapping particles
Correct answer: Transmitting power
Correct answer: Transmitting power. Explanation: the fluid exists to carry force from the pump to the actuator while under pressure, so Transmitting power is its primary role. Lessening friction is only a by-product of the film the fluid leaves on moving surfaces; Controlling warmth is a secondary duty handled mostly by the reservoir and cooler; Trapping particles belongs to the filters, which the fluid merely carries contamination toward.
- Which mechanical device is used to increase the magnitude of torque or rotational force?
- Coupler
- Spindle
- Gearbox
- Ratchet
Correct answer: Gearbox
Correct answer: Gearbox. Explanation: a Gearbox multiplies turning effort by trading rotational speed for it across meshed pairs with differing tooth counts. A Coupler joins two shafts end to end and passes the same turning effort straight through; a Spindle is a rotating member that carries a tool or workpiece and adds nothing; a Ratchet permits rotation one way and blocks the other without altering the effort.
- In pneumatic systems, what is the common use of an air compressor?
- To raise air pressure
- To purify air streams
- To cool air discharge
- To monitor air motion
Correct answer: To raise air pressure
Correct answer: To raise air pressure. Explanation: a compressor draws in atmospheric air and squeezes it into a smaller volume, so its purpose is To raise air pressure for the rest of the circuit. To purify air streams describes the inlet filter and dryer; To cool air discharge describes the aftercooler downstream of the compressor; To monitor air motion describes a flow meter, which measures rather than delivers.
- After reading a detailed passage about the construction of a suspension bridge, which of the following components is NOT typically involved in the tension and compression dynamics described?
- Bearing stanchions
- Electrical cabling
- Restraining hanger
- Anchoring abutment
Correct answer: Electrical cabling
Correct answer: Electrical cabling. Explanation: Electrical cabling feeds lighting and signals and carries no structural load, so it falls outside the tension and compression path of a suspension span. Bearing stanchions pass deck load downward in pure compression; a Restraining hanger holds the deck up from the main cable and works purely in tension; an Anchoring abutment takes the cable pull into the ground and is loaded throughout.
- A manual describes the process of laying asphalt for a new road. According to the manual, what is the primary reason for compacting asphalt during installation?
- To extend the pavement durability and lifespan
- To reduce the contractor materials and freight
- To generate the smoothest surface and markings
- To shorten the overnight cooldown and downtime
Correct answer: To extend the pavement durability and lifespan
Correct answer: To extend the pavement durability and lifespan. Explanation: rolling squeezes the air voids out of the hot mix so the mat knits into a dense, strong layer, and the reason it is specified is To extend the pavement durability and lifespan. To reduce the contractor materials and freight is wrong because compaction alters density, never the tonnage that had to be ordered and hauled; To generate the smoothest surface and markings names a finishing benefit that screeding and a final static pass deliver; To shorten the overnight cooldown and downtime is backward, since a densely rolled mat holds its heat longer than a loose one.
- In a section explaining the safety protocols for working at heights, which piece of equipment is deemed essential for preventing falls?
- Safety goggles
- Body harnesses
- Nitrile gloves
- Solid headgear
Correct answer: Body harnesses
Correct answer: Body harnesses. Explanation: Body harnesses tie the worker to a lifeline or anchor, so a slip ends in a short arrested drop instead of a fall to grade. Safety goggles guard only the eyes against flying particles; Nitrile gloves guard the hands against chemicals and abrasion; Solid headgear cushions an impact from above but does nothing to keep a worker on the platform.
- According to a document on electrical safety in construction, what is the primary method for preventing electrocution during work near power lines?
- Climbing wooden ladders near power lines
- Wearing insulated cuffs near power lines
- Grounding mobile cranes near power lines
- Keeping ample clearance near power lines
Correct answer: Keeping ample clearance near power lines
Correct answer: Keeping ample clearance near power lines. Explanation: overhead conductors are normally bare, so the controlling precaution is Keeping ample clearance near power lines, which removes any chance of contact or of an arc jumping the gap. Climbing wooden ladders near power lines still permits contact, and damp or dirty timber conducts readily; Wearing insulated cuffs near power lines relies on gear rated far below distribution voltage; Grounding mobile cranes near power lines bleeds off static charge but does nothing once a boom touches a live conductor.
- A technical passage describes the installation of a central heating system. Which component is responsible for distributing heat throughout the building?
- Supply ducts
- Water boiler
- Room control
- Exhaust flue
Correct answer: Supply ducts
Correct answer: Supply ducts. Explanation: Supply ducts carry conditioned air from the plant out to every room, so they are what actually moves warmth through the structure. A Water boiler raises temperature but never moves it past the plant room on its own; a Room control merely senses temperature and switches the plant on and off; an Exhaust flue vents combustion gases outdoors and discards heat rather than spreading it.
- An article on sustainable construction practices suggests the use of a particular material for its low environmental impact. Which of the following materials is praised for being renewable?
Correct answer: Timber
Correct answer: Timber. Explanation: Timber is grown, felled and regrown, so it is the one choice here that replaces itself within a human lifetime under managed forestry. Cement is burned from quarried limestone, and the quarry cannot be replanted; Resins are drawn from finite petroleum feedstock; Alloys are smelted from mined ore, which is recyclable but never renewable.
- A detailed explanation is given about the process of waterproofing a building's foundation. What is the primary purpose of applying a waterproof membrane around the foundation?
- To improve exterior appearance
- To deter subterranean termites
- To boost foundation insulation
- To exclude groundwater seepage
Correct answer: To exclude groundwater seepage
Correct answer: To exclude groundwater seepage. Explanation: the membrane forms an unbroken barrier across the outer face of the wall, so its purpose is To exclude groundwater seepage before moisture can reach the concrete or the space inside. To improve exterior appearance is pointless for a surface that is backfilled out of sight; To deter subterranean termites needs a separate physical or chemical barrier; To boost foundation insulation needs rigid board, which a thin sheet membrane cannot supply.
- After reading about the methods of testing concrete strength, which test is specifically designed to measure the compressive strength of concrete cylinders?
- Cone displacement test
- Rebound stiffness test
- Axial compression test
- Acoustic velocity test
Correct answer: Axial compression test
Correct answer: Axial compression test. Explanation: an Axial compression test loads a molded cylinder end to end in a press until it fails, so the failure load divided by the area gives compressive strength directly. A Cone displacement test measures how far fresh mix slumps and reports workability only; a Rebound stiffness test reads surface hardness from a spring plunger and merely estimates strength; an Acoustic velocity test times a pulse through the member and infers uniformity rather than measuring failure.
- In a document describing the layout of a construction site, what is the primary function of the designated staging area?
- For weekday employee carparks
- For segregated refuse removal
- For scheduled client handover
- For brief material stockpiles
Correct answer: For brief material stockpiles
Correct answer: For brief material stockpiles. Explanation: the staging area keeps deliveries close to the work face until crews call for them, so a site layout designates it For brief material stockpiles. For weekday employee carparks names a separate zone kept well outside the work area; For segregated refuse removal belongs to the skip and dumpster compound; For scheduled client handover takes place in the site office rather than on open ground.
- A passage discusses the challenges of building in cold weather. What is a crucial step mentioned for pouring concrete in low temperatures?
- Adding surplus moisture
- Using heated enclosures
- Trimming curing periods
- Placing thinner courses
Correct answer: Using heated enclosures
Correct answer: Using heated enclosures. Explanation: fresh concrete must stay above freezing until it has gained enough strength, and Using heated enclosures holds the pour in a warm pocket while hydration proceeds. Adding surplus moisture raises the water to cement ratio, giving a weaker mix with more free water to freeze; Trimming curing periods strips away the very protection cold weather demands; Placing thinner courses sheds heat faster and reaches freezing sooner.
- In a discussion on the types of load a building can bear, which type of load is described as resulting from environmental factors like wind and snow?
- Gravity load
- Bending load
- Bearing load
- Dynamic load
Correct answer: Dynamic load
Correct answer: Dynamic load. Explanation: gusting wind and drifting snow change in magnitude and direction from moment to moment, and a Dynamic load is precisely the category for actions that vary with time. A Gravity load is named for the direction it acts rather than for what causes it, so it covers everything bearing straight down on the frame but cannot account for wind, which pushes and pulls sideways on the walls; a Bending load names an internal effect within a member rather than a source of loading; a Bearing load describes the reaction where one member rests on another.
- When discussing the principles of sustainable architecture, what is identified as a key benefit of incorporating green roofs into building designs?
- Increased structural stiffness
- Eliminated maintenance demands
- Enhanced visual attractiveness
- Superior stormwater management
Correct answer: Superior stormwater management
Correct answer: Superior stormwater management. Explanation: the growing medium soaks up rainfall and releases it slowly, cutting peak runoff into the drains, so Superior stormwater management is the benefit sustainable design credits to a green roof. Increased structural stiffness is the reverse of the truth, since the saturated build up adds dead weight the frame must carry; Eliminated maintenance demands is the opposite of what a planted roof asks for, because the vegetation needs weeding through the growing season, watering while it establishes, and yearly inspection of the drains and the membrane beneath; Enhanced visual attractiveness is cosmetic and delivers no measurable performance.
- A technical document outlines the procedures for retrofitting older buildings to resist seismic activity. Which retrofitting technique is specifically recommended for enhancing the lateral stability of a structure?
- Applying outer tendons
- Deepening pad footings
- Fitting base isolators
- Grouting masonry cores
Correct answer: Fitting base isolators
Correct answer: Fitting base isolators. Explanation: Fitting base isolators uncouples the superstructure from ground motion, so sideways drift is taken up in the bearings instead of the frame, which is the direct route to lateral stability. Applying outer tendons raises flexural capacity but leaves the sway mechanism untouched; Deepening pad footings improves bearing and uplift resistance below grade only; Grouting masonry cores strengthens individual walls locally without changing how the building sways.
- In an article about modern construction materials, which material is praised for its fire-resistant properties and thermal insulation capabilities?
- Chopped fiberglass laminate
- Autoclaved aerated concrete
- Layered polyurethane panels
- Crosswise bonded timberwork
Correct answer: Autoclaved aerated concrete
Correct answer: Autoclaved aerated concrete. Explanation: Autoclaved aerated concrete is a steam cured mineral foam whose sealed pores neither burn nor conduct, so one material delivers both fire resistance and low heat flow. Chopped fiberglass laminate is light and strong, but its resin binder softens and then burns; Layered polyurethane panels insulate very well while the foam core inside them is combustible; Crosswise bonded timberwork chars in a fire and insulates only modestly.
- A discussion on the challenges of constructing tunnels underwater mentions a specific method for creating the tunnel sections. Which method is highlighted as being commonly used for this purpose?
- Rotary cutterhead drive
- Immersed tube technique
- Covered trench backfill
- Drill charge detonation
Correct answer: Immersed tube technique
Correct answer: Immersed tube technique. Explanation: the Immersed tube technique casts sections in a dry dock, floats them to the crossing, sinks them into a dredged trench and joins them below water, which suits a soft riverbed. Rotary cutterhead drive advances from a shaft through solid ground and cannot place prefabricated sections; Covered trench backfill demands a dry excavation and suits shallow land routes; Drill charge detonation demands competent rock and a dry heading.
- In a safety briefing on handling hazardous materials on construction sites, which type of personal protective equipment (PPE) is emphasized as essential for protecting the respiratory system?
- Sealed safety goggles
- Disposable dust masks
- Tapered foam earplugs
- Full face respirators
Correct answer: Full face respirators
Correct answer: Full face respirators. Explanation: Full face respirators seal against the whole face and filter every breath through a cartridge, so the airway is protected from vapors as well as dust. Sealed safety goggles shield the eyes and leave the airway wide open; Disposable dust masks trap coarse particles but neither seal reliably nor stop chemical vapor; Tapered foam earplugs protect hearing alone.
- When outlining the process for preparing a site for construction, which activity is specifically mentioned as being crucial for ensuring proper drainage and avoiding water-related issues?
- Excavating strip footings
- Erecting perimeter fences
- Grading surface gradients
- Sampling subsoil strength
Correct answer: Grading surface gradients
Correct answer: Grading surface gradients. Explanation: Grading surface gradients sets the falls that carry rainfall away from the works and from the future building, which is what keeps standing water off the pad. Excavating strip footings shapes bearing trenches that will themselves collect water unless the ground is shaped first; Erecting perimeter fences controls access and moves no water at all; Sampling subsoil strength informs the foundation design without changing where rain goes.
- A document describes the use of drones in construction for various applications. Which application is highlighted as a benefit for project managers and site supervisors?
- Delivering handheld tools and fixings
- Providing overnight patrol and alarms
- Conducting aerial surveys and mapping
- Inspecting failed welds and corrosion
Correct answer: Conducting aerial surveys and mapping
Correct answer: Conducting aerial surveys and mapping. Explanation: Conducting aerial surveys and mapping hands managers and supervisors a current, measurable picture of progress, quantities and earthworks from a single short flight. Delivering handheld tools and fixings is capped by payload and adds nothing to oversight; Providing overnight patrol and alarms is a security duty rather than a management gain; Inspecting failed welds and corrosion is specialist engineering work, not the routine reporting benefit at issue.
- In a discussion on innovative cooling technologies for buildings, which technology is mentioned as utilizing the natural process of evaporation to reduce indoor temperatures?
- Evaporative coolers
- Absorption chillers
- Borehole exchangers
- Refrigerated panels
Correct answer: Evaporative coolers
Correct answer: Evaporative coolers. Explanation: Evaporative coolers draw warm dry air across a wetted pad, and water changing state to vapor takes heat out of the airstream. Absorption chillers run a refrigerant cycle driven by waste heat rather than by evaporation from a wetted surface; Borehole exchangers reject heat into stable ground far below; Refrigerated panels chill a surface that then absorbs room heat by radiation.
- A report on enhancing the energy efficiency of commercial buildings focuses on a specific type of window technology. Which technology is noted for its ability to minimize heat gain while maximizing natural light?
- Insulated pane windows
- Heavily tinted windows
- Low emissivity windows
- Solar electric windows
Correct answer: Low emissivity windows
Correct answer: Low emissivity windows. Explanation: Low emissivity windows carry a coating a few atoms thick that reflects long wave heat while letting visible light through, so daylight enters and radiant gain does not. Insulated pane windows cut conduction across the cavity yet admit radiant heat freely; Heavily tinted windows stop heat and daylight together, darkening the room; Solar electric windows make power by shading the glass, which costs the daylight the report wants kept.
- An article on the principles of lean construction emphasizes a particular approach to managing construction projects. What is the primary goal of this approach?
- Stripping waste and enlarging value
- Boosting worker and machine outputs
- Trimming contract and overhead cost
- Compressing design and build phases
Correct answer: Stripping waste and enlarging value
Correct answer: Stripping waste and enlarging value. Explanation: lean construction counts every activity that consumes resource without adding worth as waste, so the governing aim is Stripping waste and enlarging value for the customer. Boosting worker and machine outputs merely pushes resources harder and can produce more of the wrong thing; Trimming contract and overhead cost is an accounting target that often removes worth along with spend; Compressing design and build phases may follow from lean practice but is never its purpose.
- A comprehensive analysis on the retrofitting techniques for earthquake-prone buildings highlights a specific method for increasing structural resilience. Which method involves wrapping existing columns and beams with fiber-reinforced polymers?
- Perimeter structural buttressing
- Bonding structural reinforcement
- Extended structural underpinning
- Supplementary structural damping
Correct answer: Bonding structural reinforcement
Correct answer: Bonding structural reinforcement. Explanation: wrapping a column or beam in fiber reinforced polymer and gluing it down confines the concrete and lifts shear and flexural capacity, which is exactly Bonding structural reinforcement. Perimeter structural buttressing adds new frames or walls instead of treating the existing members; Extended structural underpinning works below ground at the footings; Supplementary structural damping inserts devices that absorb energy rather than strengthening any member.
- In an article discussing the environmental impact of construction projects, which practice is emphasized as crucial for minimizing damage to surrounding ecosystems?
- Prudent site selection and planning
- Specifying recycled brick and steel
- Installing vegetated roofs and beds
- Deploying onsite turbines and solar
Correct answer: Prudent site selection and planning
Correct answer: Prudent site selection and planning. Explanation: the least damaging move is to keep away from sensitive ground in the first place, so Prudent site selection and planning protects surrounding habitat far more than anything attempted once work starts. Specifying recycled brick and steel lowers embodied impact somewhere else, not on this ground; Installing vegetated roofs and beds returns a fragment of habitat after the original has gone; Deploying onsite turbines and solar cuts operating emissions while leaving the ecosystem exposed.
- A document detailing the advancements in construction technology mentions a specific material known for its exceptional strength-to-weight ratio. Which material is highlighted for its applications in high-rise construction?
- Carbon fiber composites
- Precast concrete panels
- Welded structural steel
- Engineered bamboo culms
Correct answer: Carbon fiber composites
Correct answer: Carbon fiber composites. Explanation: Carbon fiber composites carry very high tensile stress at a fraction of the density of metal, which is precisely what a strength to weight comparison rewards in a tall frame. Precast concrete panels are strong in compression but extremely heavy for the strength returned; Welded structural steel is strong yet several times denser; Engineered bamboo culms are remarkably light but far weaker in absolute terms.
- A technical guide on water management systems for urban developments discusses a particular strategy for reducing surface runoff. Which strategy involves creating permeable pavements?
- Stormwater retention basins
- Vegetated rooftop plantings
- Rainwater infiltration beds
- Sustainable drainage design
Correct answer: Sustainable drainage design
Correct answer: Sustainable drainage design. Explanation: Sustainable drainage design lets rain soak away where it lands, and porous paving is its signature detail because water passes through the wearing course instead of running off it. Stormwater retention basins hold runoff that has already formed and release it slowly downstream; Vegetated rooftop plantings intercept rain at roof level and never touch the paved ground; Rainwater infiltration beds soak up water piped to them without making the pavement itself porous.
- An in-depth report on fire safety measures in skyscrapers focuses on a specific system designed to contain fires and prevent smoke spread. What system is identified as integral to compartmentalizing floors and corridors?
- Fire dampers and doors
- Fire risers and sprays
- Fire board and linings
- Fire extracts and fans
Correct answer: Fire dampers and doors
Correct answer: Fire dampers and doors. Explanation: Fire dampers and doors shut the openings through a rated wall or floor, so each story and corridor stays a sealed pocket once heat or smoke arrives. Fire risers and sprays cool and control a blaze while leaving every opening wide open; Fire board and linings raise the rating of the barrier itself yet do nothing about the holes cut through it; Fire extracts and fans move smoke out of a space rather than confining it.
- A discussion on the role of project management software in construction projects emphasizes a specific functionality. Which functionality is praised for improving communication and coordination among team members?
- Automated timetable and task tracking
- Sharing documents and version control
- Immediate budget and outlay reporting
- Rendered lighting and texture mapping
Correct answer: Sharing documents and version control
Correct answer: Sharing documents and version control. Explanation: Sharing documents and version control puts one authoritative copy of every drawing and specification in front of the whole team, so nobody builds from a superseded sheet. Automated timetable and task tracking reports dates without settling which information is current; Immediate budget and outlay reporting serves the commercial team rather than day to day coordination; Rendered lighting and texture mapping governs how surfaces appear in a presentation image and moves no information between the people building the job.
- In a guide to sustainable landscaping practices for commercial properties, which technique is recommended for reducing water usage while maintaining green spaces?
- Installing artificial turfgrass
- Programming frequent sprinkling
- Scattering nitrogen fertilizers
- Adopting xeriscaping principles
Correct answer: Adopting xeriscaping principles
Correct answer: Adopting xeriscaping principles. Explanation: Adopting xeriscaping principles matches drought tolerant planting, mulch and targeted irrigation to the local climate, so the grounds stay green on a fraction of the water. Installing artificial turfgrass does cut water but abandons the living landscape the guide sets out to keep; Programming frequent sprinkling loses most of the water to evaporation and grows shallow roots that need still more; Scattering nitrogen fertilizers forces soft growth whose demand for water rises.
- In discussions about reducing the carbon footprint of construction projects, which strategy is identified as effective for capturing and storing carbon dioxide?
- Carbon reduced and recycled mixtures
- Carbon absorbing and planted facades
- Carbon free and renewable generation
- Carbon capture and storage materials
Correct answer: Carbon capture and storage materials
Correct answer: Carbon capture and storage materials. Explanation: Carbon capture and storage materials lock the gas into the fabric itself, for instance by curing concrete in captured flue gas, so the dioxide is both taken up and then held for the life of the building. Carbon reduced and recycled mixtures emit less at the outset but store nothing; Carbon absorbing and planted facades hold only the small, temporary amount bound in living tissue; Carbon free and renewable generation avoids emissions instead of capturing any.
- A construction project requires 3.5 cubic yards of concrete per hour over an 8-hour workday. If concrete is ordered in cubic meters, how many cubic meters of concrete are needed for one day, given 1 cubic yard equals 0.764 cubic meters?
- 16.12 cu m
- 26.98 cu m
- 21.39 cu m
- 32.24 cu m
Correct answer: 21.39 cu m
Correct answer: 21.39 cu m. Explanation: the pour runs 3.5 cubic yards an hour for eight hours, which is 28 cubic yards, and 28 multiplied by 0.764 gives 21.39 cu m. 16.12 cu m answers to roughly twenty one cubic yards, the output of a six hour shift rather than a full day; 26.98 cu m overstates the result, since 28 cubic yards times 0.764 cannot exceed twenty two cubic meters; 32.24 cu m matches a twelve hour day at the same hourly rate.
- A worker is paid $15.50 per hour for a standard 40-hour week. For each hour over 40, the worker is paid 1.5 times the standard rate. If the worker works 50 hours in one week, what is their total weekly pay?
- $837.50 for 50 h
- $620.00 for 50 h
- $775.00 for 50 h
- $930.00 for 50 h
Correct answer: $837.50 for 50 h
Correct answer: $837.50 for 50 h. Explanation: forty hours at $15.50 comes to $620.00, and the ten extra hours at one and a half times that rate add $232.50, so the week totals $837.50 for 50 h. $620.00 for 50 h pays the standard forty hours and drops the overtime altogether; $775.00 for 50 h pays all fifty hours at the flat rate with no premium; $930.00 for 50 h pays every one of the forty standard hours at the time and a half rate and leaves the ten overtime hours out.
- If a vehicle travels at an average speed of 45 miles per hour, how many miles will it travel in 15 minutes?
- It covers 11.25 miles
- It drives 15.00 miles
- It passes 18.75 miles
- It tracks 22.50 miles
Correct answer: It covers 11.25 miles
"It covers 11.25 miles" is correct: fifteen minutes is one quarter of an hour, and 45 miles per hour times one quarter of an hour gives 11.25 miles. "It drives 15.00 miles" is the twenty-minute figure, "It passes 18.75 miles" is the twenty-five-minute figure, and "It tracks 22.50 miles" is the half-hour figure, so each of those three stretches the trip beyond the fifteen minutes stated.
- A contractor needs to distribute 600 bricks equally among 4 workers. After distribution, 2 more workers join. How many bricks must each of the original workers give to the new workers to ensure an equal share among all six workers?
- Passes 25 bricks to colleagues
- Donates 50 bricks to newcomers
- Delivers 75 bricks to recruits
- Hands 100 bricks to latecomers
Correct answer: Donates 50 bricks to newcomers
"Donates 50 bricks to newcomers" is correct: four workers sharing 600 bricks hold 150 apiece, six workers would hold 100 apiece, and 150 minus 100 leaves 50 to hand over. "Passes 25 bricks to colleagues" halves that transfer. "Delivers 75 bricks to recruits" overshoots it and leaves the six shares unequal. "Hands 100 bricks to latecomers" quotes the new per-worker share instead of the amount that has to move.
- The density of a material is 2.5 g/cm3. What is the mass of a cube of this material with a side length of 4 cm?
- A weight of 160 grams
- A measure of 40 grams
- A figure of 100 grams
- A result of 250 grams
Correct answer: A weight of 160 grams
"A weight of 160 grams" is correct: a 4 cm cube holds 4 x 4 x 4 = 64 cubic centimeters, and 64 multiplied by 2.5 grams per cubic centimeter is 160 grams. "A measure of 40 grams" multiplies the density by the 16 square centimeter face area instead of the volume. "A figure of 100 grams" and "A result of 250 grams" correspond to no volume this cube has, since only 64 cubic centimeters times the stated density is defensible.
- If a circle has a circumference of 31.4 meters, what is its radius?
- A figure of 5.0 meters
- A total of 10.0 meters
- A result of 2.5 meters
- A length of 7.5 meters
Correct answer: A figure of 5.0 meters
"A figure of 5.0 meters" is correct: circumference equals 2 x pi x radius, so the radius is 31.4 divided by 6.28, which is 5 meters. "A total of 10.0 meters" is the diameter, obtained by dividing the circumference by pi alone. "A result of 2.5 meters" halves the radius one extra time. "A length of 7.5 meters" fits no circle whose circumference is 31.4 meters.
- A construction project requires a concrete slab to be poured that is 30 feet long, 20 feet wide, and 0.5 feet thick. How many cubic yards of concrete are needed, given 1 cubic yard = 27 cubic feet?
- A figure of 22.22 cubic yards
- A result of 33.33 cubic yards
- A volume of 11.11 cubic yards
- A demand of 44.44 cubic yards
Correct answer: A volume of 11.11 cubic yards
"A volume of 11.11 cubic yards" is correct: 30 x 20 x 0.5 gives 300 cubic feet, and 300 divided by 27 cubic feet per cubic yard is about 11.11 cubic yards. "A figure of 22.22 cubic yards" doubles the pour by treating the slab as a full foot thick. "A result of 33.33 cubic yards" triples it, and "A demand of 44.44 cubic yards" quadruples it; none of the three respects the 0.5 foot thickness given.
- A ladder leans against a wall at a height of 10 meters. If the bottom of the ladder is 6 meters from the base of the wall, what is the length of the ladder?
- A total of 12 meters
- A value of 10 meters
- A reach of 14 meters
- A range of 16 meters
Correct answer: A total of 12 meters
"A total of 12 meters" is the correct choice as the nearest figure: by the Pythagorean theorem the ladder equals the square root of 10 squared plus 6 squared, that is the square root of 136, or roughly 11.7 meters. "A value of 10 meters" merely repeats the wall height and ignores the 6 meter standoff. "A reach of 14 meters" is longer than any hypotenuse those two sides permit. "A range of 16 meters" adds the two sides instead of squaring them.
- If the sum of three consecutive even numbers is 90, what is the smallest of these numbers?
- A value of 28
- A tally of 30
- A count of 32
- A level of 34
Correct answer: A value of 28
"A value of 28" is correct: three consecutive even numbers summing to 90 satisfy 3x + 6 = 90, so x = 28 and the run is 28, 30, 32. "A tally of 30" names the middle term of that run rather than the smallest. "A count of 32" names the largest term. "A level of 34" sits outside the run altogether, since 34 + 36 + 38 comes to 108.
- A pipe carries water at a velocity of 3 meters per second. If the diameter of the pipe is doubled, what will be the new velocity of water in the pipe, assuming incompressible flow and conservation of mass?
- A speed of 0.75 meters per second
- A value of 1.50 meters per second
- A level of 2.25 meters per second
- A range of 3.00 meters per second
Correct answer: A speed of 0.75 meters per second
"A speed of 0.75 meters per second" is correct: doubling the diameter multiplies the cross-sectional area by four, and with the volume flow rate fixed the water must slow to one quarter of 3. "A value of 1.50 meters per second" halves the water speed, as though it varied with diameter rather than with area. "A level of 2.25 meters per second" strips away only one quarter of the original figure. "A range of 3.00 meters per second" leaves the water unchanged and so breaks conservation of mass.
- A rectangular tank is 25% filled with water. After adding 750 liters of water, it is 50% full. What is the total capacity of the tank in liters?
- A figure of 1500 liters
- A result of 4500 liters
- A demand of 6000 liters
- A volume of 3000 liters
Correct answer: A volume of 3000 liters
"A volume of 3000 liters" is correct: the 750 liters added moved the tank from one quarter to one half, so 750 liters is a quarter of the tank and 750 divided by 0.25 gives 3000. "A figure of 1500 liters" treats the 750 liters as half the tank. "A result of 4500 liters" and "A demand of 6000 liters" multiply the 750 liters by six and by eight, neither of which matches the quarter-tank step described.
- A worker drives from Home to Work at a speed of 40 km/h and returns on the same route at 60 km/h. What is the average speed for the entire trip?
- A figure of 50 km/h
- A result of 48 km/h
- A number of 52 km/h
- A rating of 55 km/h
Correct answer: A result of 48 km/h
"A result of 48 km/h" is correct: for a distance D each way the trip takes D/40 plus D/60, which is D/24 hours, and 2D divided by D/24 is 48. "A figure of 50 km/h" is the plain mean of 40 and 60, which only holds when the two legs take equal time rather than equal distance. "A number of 52 km/h" and "A rating of 55 km/h" are higher still, and no equal-distance round trip can average more than the plain mean of its two legs.
- If 5 workers can complete a job in 8 days, how many days will it take 10 workers to complete the same job, assuming all workers work at the same rate?
- A schedule of two days
- A duration of six days
- A span of sixteen days
- A measure of four days
Correct answer: A measure of four days
"A measure of four days" is correct: the job is worth 5 x 8 = 40 worker-days, and 40 worker-days shared by 10 workers is four days. "A schedule of two days" quarters the original time instead of halving it. "A duration of six days" fits no whole-crew arithmetic, since 10 workers x 6 is 60 worker-days. "A span of sixteen days" doubles the time, treating extra workers as though they slowed the job down.
- A ladder leans against a wall forming a 60-degree angle with the ground. If the top of the ladder touches the wall 15 meters above the ground, what is the length of the ladder?
- A segment of 15.00 meters
- A measure of 17.32 meters
- A stretch of 20.00 meters
- A portion of 12.99 meters
Correct answer: A measure of 17.32 meters
"A measure of 17.32 meters" is correct: the sine of 60 degrees is the wall height over the ladder, so the ladder is 15 divided by 0.866, which is 17.32. "A segment of 15.00 meters" merely repeats the wall height, but a slanted ladder must exceed the height it reaches. "A stretch of 20.00 meters" would require an angle nearer 49 degrees. "A portion of 12.99 meters" multiplies 15 by the sine instead of dividing, giving a ladder shorter than the wall height.
- A train travels the first third of a distance at a speed of 30 km/h, the next third at 60 km/h, and the last third at 90 km/h. What is the average speed of the train over the entire distance?
- A figure of 45 km/h
- A number of 54 km/h
- A rating of 60 km/h
- A result of 50 km/h
Correct answer: A result of 50 km/h
"A result of 50 km/h" is correct to the nearest listed value: equal distances call for the harmonic mean, 3 divided by (1/30 + 1/60 + 1/90), which works out to 540/11 or about 49.1 km/h. "A figure of 45 km/h" is the harmonic mean of only the 30 and 90 legs and drops the middle third. "A number of 54 km/h" exceeds anything equal-distance averaging can yield here. "A rating of 60 km/h" is the plain mean of the three speeds, which would apply only if each speed were held for an equal time.
- A circular gear with a diameter of 0.5 meters is engaged with a smaller gear with a diameter of 0.2 meters. If the larger gear makes 10 revolutions per minute, how many revolutions per minute does the smaller gear make?
- A result of 25 RPM
- A figure of 10 RPM
- A rating of 15 RPM
- A number of 20 RPM
Correct answer: A result of 25 RPM
"A result of 25 RPM" is correct: meshed gears share a rim speed, so the smaller gear turns faster by the diameter ratio 0.5 to 0.2, which is 2.5, and 10 x 2.5 = 25. "A figure of 10 RPM" assumes both gears turn at the same rate, which only happens on equal diameters. "A rating of 15 RPM" applies a ratio of 1.5 and "A number of 20 RPM" applies a ratio of 2, both of which understate the true 2.5 ratio.
- An article on innovative heating, ventilation, and air conditioning 'HVAC' solutions for energy-efficient buildings highlights a specific technology. Which technology uses the earth's stable temperature to heat and cool buildings?
- Reflective solar heat panels
- High efficiency heat boilers
- Geothermal ground heat pumps
- Phase change heat reservoirs
Correct answer: Geothermal ground heat pumps
"Geothermal ground heat pumps" is correct: they circulate fluid through buried loops and trade heat with the earth, whose temperature stays near constant year round. "Reflective solar heat panels" draw on sunlight, which varies hourly and seasonally rather than staying stable. "High efficiency heat boilers" burn fuel and supply no cooling at all. "Phase change heat reservoirs" buffer heat in a melting and freezing medium but take nothing from the ground.
- A comprehensive review of noise reduction techniques in urban environments mentions a particular construction approach for highways. Which approach is noted for its ability to decrease traffic noise for nearby communities?
- Raised noise bypass viaducts
- Roadside noise barrier walls
- Porous noise asphalt surface
- Regulated noise speed limits
Correct answer: Roadside noise barrier walls
"Roadside noise barrier walls" is correct: a solid wall raised between the carriageway and the houses blocks the direct path of the sound and is the standard treatment for shielding nearby homes. "Raised noise bypass viaducts" lift the source higher and can spread sound further. "Porous noise asphalt surface" is not a recognized abatement measure at all: 23 CFR 772 does not allow pavement type or surface texture to be used as noise abatement, whereas the construction of noise barriers is an eligible measure under 23 CFR 772.15(c). "Regulated noise speed limits" depend on driver compliance and are a traffic measure, not a construction approach.
- A floor plan is drawn at a scale of 1 inch = 5 feet. A hallway measures 9 inches long on the print. What is the actual length of the hallway?
- A value of 18 feet
- A total of 27 feet
- A reach of 45 feet
- A range of 36 feet
Correct answer: A reach of 45 feet
"A reach of 45 feet" is correct: at 1 inch to 5 feet, a 9 inch hallway on the print stands for 9 times 5, which is 45 feet. "A value of 18 feet" reads the scale as 2 feet per inch. "A total of 27 feet" reads it as 3 feet per inch. "A range of 36 feet" reads it as 4 feet per inch. Only the stated 5 feet per inch belongs in the multiplication.
- A site plan uses a scale of 1 inch = 25 feet. A driveway is drawn 6.4 inches long on the print. What is the actual length of the driveway?
- A figure of 96 feet
- A value of 128 feet
- A range of 192 feet
- A reach of 160 feet
Correct answer: A reach of 160 feet
"A reach of 160 feet" is correct: at 1 inch to 25 feet, 6.4 printed inches stand for 6.4 times 25, which is 160 feet. "A figure of 96 feet" applies 15 feet per inch. "A value of 128 feet" applies 20 feet per inch. "A range of 192 feet" applies 30 feet per inch. The scale note on the drawing, not a guess, supplies the feet-per-inch multiplier.
- A model is drawn so that every real length is reduced by a linear scale factor of 5 (1 real unit shown as 1/5 unit, or print-to-real factor of 5). If a region covers a certain area on the print, by what factor is the real area larger than the print area?
- A measure of 5
- A result of 15
- A number of 35
- A figure of 25
Correct answer: A figure of 25
"A figure of 25" is correct: area scales with the square of the linear factor, and 5 squared is 25. "A measure of 5" applies the linear factor straight to the area, treating a two-dimensional region as though it stretched in one direction only. "A result of 15" is three times the linear factor and "A number of 35" is seven times it, and neither corresponds to squaring.
- A blueprint legend lists a duplex receptacle symbol, and that symbol appears 9 times on a floor plan. Each receptacle requires 7 feet of wire. Using the legend count, how many feet of wire are needed for the receptacles?
- A value of 42 feet
- A spool of 49 feet
- A reach of 56 feet
- A total of 63 feet
Correct answer: A total of 63 feet
"A total of 63 feet" is correct: the legend shows the symbol 9 times and each receptacle takes 7 feet of wire, so 9 times 7 is 63. "A value of 42 feet" counts only 6 symbols. "A spool of 49 feet" counts only 7. "A reach of 56 feet" counts only 8. The legend fixes the tally, and that tally is what gets multiplied by the per-unit wire allowance.
- A plan is drawn at 1 inch = 15 feet. A trench appears as 7 inches long on the print. If shoring costs 8 dollars per actual foot, what is the total shoring cost for the trench?
- A figure of 105 dollars
- A budget of 420 dollars
- A charge of 840 dollars
- A quote of 1260 dollars
Correct answer: A charge of 840 dollars
"A charge of 840 dollars" is correct: 7 printed inches at 15 feet per inch give a 105 foot trench, and 105 feet at 8 dollars a foot is 840 dollars. "A figure of 105 dollars" stops at the trench length and never applies the rate. "A budget of 420 dollars" prices the work at 4 dollars a foot. "A quote of 1260 dollars" prices it at 12 dollars a foot. Neither of those rates is the one given.
- A square junction pad is drawn at a scale of 1 inch = 6 feet, and one side measures 3 inches on the print. What is the actual area of the pad?
- A figure of 144 square feet
- A result of 324 square feet
- A number of 225 square feet
- A measure of 81 square feet
Correct answer: A result of 324 square feet
"A result of 324 square feet" is correct: each 3 inch side stands for 3 times 6, that is 18 feet, and a square of side 18 has an area of 18 times 18, which is 324. "A figure of 144 square feet" comes from a 4 foot per inch scale. "A number of 225 square feet" comes from 5 feet per inch. "A measure of 81 square feet" comes from 3 feet per inch. Scale the side to real feet first, then square it.
- A floor plan shows two rooms drawn at a scale of 1 inch = 10 feet. Room A measures 5 inches long and Room B measures 3 inches long along the same wall. What is the combined actual length of the two rooms along that wall?
- A result of 50 feet
- A layout of 30 feet
- A figure of 80 feet
- A stretch of 8 feet
Correct answer: A figure of 80 feet
"A figure of 80 feet" is correct: at 10 feet per printed inch Room A stands for 50 feet and Room B for 30 feet, and 50 plus 30 is 80. "A result of 50 feet" gives only the first room. "A layout of 30 feet" gives only the second. "A stretch of 8 feet" adds the printed inches, 5 plus 3, and never applies the scale at all.
- In a simple machine, mechanical advantage is best described as which of the following?
- The drag of friction felt against worn surfaces
- The speed of motion set against elapsed minutes
- The ratio of load raised against effort applied
- The store of energy built against fuel consumed
Correct answer: The ratio of load raised against effort applied
"The ratio of load raised against effort applied" is correct: mechanical advantage compares the force a machine delivers with the force fed into it, so a value of 4 lets a worker hold four times what they push with. "The drag of friction felt against worn surfaces" names a loss that lowers real advantage rather than defining it. "The speed of motion set against elapsed minutes" defines rate, not a force comparison. "The store of energy built against fuel consumed" implies a machine makes energy, which no machine does.
- A lever has the fulcrum located between the effort and the load, like a seesaw or a pair of scissors. Which class of lever is this?
- A rigid class 3 lever
- A solid class 2 lever
- A plain class 4 lever
- A basic class 1 lever
Correct answer: A basic class 1 lever
"A basic class 1 lever" is correct: when the fulcrum sits between the effort and the load, as in a seesaw or a pair of scissors, the lever is first class. "A solid class 2 lever" would put the load in the middle, as a wheelbarrow does. "A rigid class 3 lever" would put the effort in the middle, as tweezers do. "A plain class 4 lever" names a class that does not exist, since levers run from one to three.
- A wheelbarrow carries its load between the wheel (the fulcrum) and the handles where the worker lifts (the effort). Which class of lever does a wheelbarrow represent?
- A plain class 1 lever
- A stout class 3 lever
- A broad class 4 lever
- A solid class 2 lever
Correct answer: A solid class 2 lever
"A solid class 2 lever" is correct: the barrow carries its load between the wheel, which acts as the fulcrum, and the handles, where the effort is applied, and a load in the middle defines second class. "A plain class 1 lever" would need the fulcrum in the middle, like a seesaw. "A stout class 3 lever" would need the effort in the middle, like tweezers. "A broad class 4 lever" names a class that does not exist.
- A pair of tweezers is squeezed in the middle to pinch an object at the tip, while the hinge stays fixed at the far end. Which class of lever describes tweezers?
- A stout class 1 lever
- A rigid class 3 lever
- A plain class 2 lever
- A blunt class 4 lever
Correct answer: A rigid class 3 lever
"A rigid class 3 lever" is correct: the fingers squeeze in the middle, so the effort lies between the hinge, which acts as the fulcrum, and the tip, which holds the load, and effort in the middle defines third class. "A stout class 1 lever" would need the hinge in the middle. "A plain class 2 lever" would need the load in the middle, as in a wheelbarrow. "A blunt class 4 lever" names a class that does not exist.
- On a lever, what is the name of the fixed point about which the bar pivots?
- The tension
- The fulcrum
- The linkage
- The balance
Correct answer: The fulcrum
"The fulcrum" is correct: it is the fixed point a lever bar turns about, and locating it is the first step in every lever calculation. "The tension" names a pulling force in a member, not a pivot. "The linkage" names the connected members themselves rather than the point they swing on. "The balance" names the condition reached when effort times its arm equals load times its arm.
- A lever works by trading distance for force around a pivot. If the effort is applied far from the fulcrum and the load sits close to the fulcrum, what is the result for the person pushing?
- The effort needed falls beneath the load weight
- The effort needed climbs beyond the load weight
- The effort needed exactly meets the load weight
- The effort needed matches twice the load weight
Correct answer: The effort needed falls beneath the load weight
"The effort needed falls beneath the load weight" is correct: a long effort arm working against a short load arm multiplies the input force, which is why a long pry bar shifts a heavy stone. "The effort needed climbs beyond the load weight" describes the opposite layout, with the push close to the fulcrum. "The effort needed exactly meets the load weight" would require the two arms to be equal. "The effort needed matches twice the load weight" inverts the arm ratio outright.
- A crowbar is used as a lever with the fulcrum 3 inches from the load and the worker pushing 30 inches from the fulcrum. What is the mechanical advantage of this lever?
- A figure of three
- A value of thirty
- A leverage of ten
- A total of ninety
Correct answer: A leverage of ten
"A leverage of ten" is correct: mechanical advantage is the effort arm divided by the load arm, and 30 inches divided by 3 inches is ten. "A figure of three" quotes the load arm on its own. "A value of thirty" quotes the effort arm on its own. "A total of ninety" multiplies the two arm lengths instead of dividing them.
- A worker uses a 48-inch bar as a first-class lever with the fulcrum placed 8 inches from a 300-pound load. The remaining 40 inches form the effort arm. How much downward force must the worker apply to balance the load?
- A figure of 75 pounds
- A result of 60 pounds
- A thrust of 50 pounds
- A push of 37.5 pounds
Correct answer: A result of 60 pounds
"A result of 60 pounds" is correct: the 40 inch effort arm is five times the 8 inch load arm, so the balancing effort is 300 divided by 5. "A figure of 75 pounds" divides by 4 rather than 5. "A thrust of 50 pounds" divides by 6, using the whole 48 inch bar as the effort arm instead of the 40 inch portion. "A push of 37.5 pounds" divides by 8, mistaking the load arm for the advantage.
- A single fixed pulley is bolted to an overhead beam and a rope runs over it to lift a load. What does this fixed pulley accomplish?
- It doubles the force and trims effort sharply
- It flips the pull and leaves effort untouched
- It reverses the rope and halves effort neatly
- It shortens the haul and saves effort greatly
Correct answer: It flips the pull and leaves effort untouched
"It flips the pull and leaves effort untouched" is correct: a single fixed wheel lets you haul downward to raise a load upward, but the line tension still equals the load, so the mechanical advantage is one. "It doubles the force and trims effort sharply" describes a movable wheel instead. "It reverses the rope and halves effort neatly" claims both benefits at once, which one anchored wheel cannot deliver. "It shortens the haul and saves effort greatly" is wrong twice over, since the line travel equals the load travel.
- How does a single movable pulley differ from a single fixed pulley when lifting a load?
- Movable turns course, fixed lightens strain
- Movable halves effort, fixed alters pathway
- Movable lifts twofold, fixed gains leverage
- Movable delivers little, fixed returns zero
Correct answer: Movable halves effort, fixed alters pathway
"Movable halves effort, fixed alters pathway" is correct: two rope strands support a movable wheel, giving a mechanical advantage of 2, while an anchored wheel only turns the line and gives 1. The price is that twice as much rope must be hauled. "Movable turns course, fixed lightens strain" swaps the two roles. "Movable lifts twofold, fixed gains leverage" credits the anchored wheel with an advantage it cannot have: only one strand supports it, so its mechanical advantage is 1 no matter how the rope is run. "Movable delivers little, fixed returns zero" denies the movable wheel the doubling its two supporting strands produce.
- How does a pulley system create mechanical advantage when lifting a heavy load?
- By lengthening the cable with two spare pulleys
- By enlarging the sheave with slower wheel spins
- By sharing the burden with several rope strands
- By trimming the friction with newly oiled axles
Correct answer: By sharing the burden with several rope strands
"By sharing the burden with several rope strands" is correct: every strand running to the movable block carries a fraction of the weight, so four strands mean each holds a quarter and the effort is quartered. "By lengthening the cable with two spare pulleys" mistakes the extra rope travel, which is the price of the advantage, for its cause. "By enlarging the sheave with slower wheel spins" treats wheel size as the source, yet diameter does not change the ratio. "By trimming the friction with newly oiled axles" only cuts losses, leaving the ideal advantage exactly as it was.
- A block and tackle is set up so that 5 rope strands directly support the movable block holding the load. What is the ideal mechanical advantage of this system?
- A leverage of one
- A multiple of two
- A measure of five
- A strength of ten
Correct answer: A measure of five
"A measure of five" is correct: the ideal mechanical advantage of a block and tackle equals the number of strands directly supporting the movable block, and five such strands are named. Lifting the load one foot then takes five feet of rope. "A leverage of one" describes a single anchored wheel. "A multiple of two" describes a single movable wheel. "A strength of ten" doubles the strand count, as though both sides of every wheel were tallied.
- A pulley system has a mechanical advantage of 6. How much effort is required to lift a 720-pound load, ignoring friction?
- A force of 120 pounds
- A value of 180 pounds
- A total of 240 pounds
- A figure of 60 pounds
Correct answer: A force of 120 pounds
"A force of 120 pounds" is correct: effort equals the load divided by the mechanical advantage, so 720 divided by 6 is 120 pounds, and the operator hauls 6 feet of rope for every foot the load rises. "A value of 180 pounds" divides by 4. "A total of 240 pounds" divides by 3. "A figure of 60 pounds" divides by 12. Only the advantage of 6 stated in the question belongs in that division.
- Two external spur gears are meshed together. If the drive gear turns clockwise, which way does the gear meshed directly with it turn?
- It keeps the matching course
- It blocks the whole rotation
- It takes the reverse heading
- It shifts the rotating plane
Correct answer: It takes the reverse heading
"It takes the reverse heading" is correct: two external gears in mesh push on each other at the teeth, so a clockwise driver forces its partner counterclockwise. "It keeps the matching course" would hold only with an idler placed between the two, or with an internal gear. "It blocks the whole rotation" describes a jam rather than normal meshing. "It shifts the rotating plane" describes what a bevel or worm pair does; two external spur gears ride on parallel shafts and turn in one and the same plane.
- In a gear train, a small idler gear is placed between the drive gear and the final driven gear. What is the main effect of adding this idler gear?
- It reduces the output speed beside stronger torque
- It doubles the output force beside slower rotation
- It flips the input turning beside untouched output
- It reverses the output spin beside unchanged ratio
Correct answer: It reverses the output spin beside unchanged ratio
"It reverses the output spin beside unchanged ratio" is correct: an idler flips the direction of the wheel it drives, while the overall ratio still depends only on the tooth counts of the first and last members. "It reduces the output speed beside stronger torque" credits the idler with a reduction it never makes. "It doubles the output force beside slower rotation" invents a ratio change. "It flips the input turning beside untouched output" reverses the wrong end of the train, since the driver keeps its own direction.
- How does a gear pair change speed and torque between the drive gear and the driven gear?
- Bigger driven gear, speed falls, torque swells
- Bigger driven gear, speed climbs, torque rises
- Bigger driven gear, speed mounts, torque drops
- Bigger driven gear, speed levels, torque holds
Correct answer: Bigger driven gear, speed falls, torque swells
"Bigger driven gear, speed falls, torque swells" is correct: a larger output wheel turns fewer times for each input turn, and the turning force rises in the same proportion. "Bigger driven gear, speed climbs, torque rises" has both going up, which would manufacture energy. "Bigger driven gear, speed mounts, torque drops" describes what a smaller output wheel does. "Bigger driven gear, speed levels, torque holds" denies that a gear pair trades one against the other at all.
- A drive gear with 15 teeth meshes with a driven gear with 45 teeth. What is the gear ratio of this pair?
- 45 to 15
- 1 to 30
- sixty to one
- one to three
Correct answer: one to three
A gear ratio sets drive teeth against driven teeth, so fifteen against forty-five reduces to one to three: the big wheel makes a single turn for every three of the small one, trading speed for torque. Reading the mesh backward gives 45 to 15, which describes a speed-up drive rather than this reduction. Subtracting the counts yields 1 to 30 and adding them yields sixty to one, and neither piece of arithmetic produces a ratio at all.
- A drive gear with 12 teeth turns at 600 RPM and meshes with a driven gear of 36 teeth. At what speed does the driven gear rotate?
- 300 RPM, a 2 to 1 cut
- 100 RPM, a 6 to 1 cut
- 200 RPM, a 3 to 1 cut
- 1800 RPM, a 3 to 1 up
Correct answer: 200 RPM, a 3 to 1 cut
Speed runs inversely with tooth count, so 600 times twelve thirty-sixths lands on 200 RPM, a 3 to 1 cut through the mesh. Multiplying instead of inverting the mesh gives 1800 RPM, a 3 to 1 up, which a bigger driven wheel can never deliver. Halving the input gives 300 RPM, a 2 to 1 cut, and dividing the input by six gives 100 RPM, a 6 to 1 cut; neither two nor six is the threefold ratio a twelve-against-thirty-six mesh sets.
- A 40-tooth gear must drive a second gear so that the second gear turns at twice the speed of the first. How many teeth should the driven gear have?
- eighty teeth
- ten teeth
- twenty teeth
- 160 teeth
Correct answer: twenty teeth
Doubling output speed calls for halving the tooth count, so a forty-tooth driver needs a mate of twenty teeth. Small wheels spin fast and big wheels spin slow, which is the whole trade. A mate of eighty teeth would halve the speed instead of doubling it, ten teeth would quadruple it, and 160 teeth would drop it to a quarter.
- A drive gear with 20 teeth runs at 900 RPM and turns a driven gear of 60 teeth. Using the gear ratio, what is the output speed?
- 1800 RPM, a 2 to 1 up
- 2700 RPM, a 3 to 1 up
- 450 RPM, a 2 to 1 cut
- 300 RPM, a 3 to 1 cut
Correct answer: 300 RPM, a 3 to 1 cut
Sixty against twenty is a three-fold reduction, so nine hundred at the input lands on 300 RPM, a 3 to 1 cut at the output shaft. Reading the mesh as a step-up gives 2700 RPM, a 3 to 1 up, which a bigger driven wheel can never produce. Halving rather than thirding gives 450 RPM, a 2 to 1 cut, and doubling gives 1800 RPM, a 2 to 1 up; both use a tooth pair that is simply not there.
- In a mechanical aptitude scenario, two beams of equal length pivot on a fulcrum. Beam X has the fulcrum in the center; beam Y has the fulcrum near one end with the load close to it. Which beam lets a worker lift a given load with less effort?
- Beam Y, because a long effort arm works against a short load
- Beam X, because a mid pivot aids effort despite a level load
- Beam Y, because a load slung beside a grip trims real effort
- Beam X, because a paired rod setup halves a load plus effort
Correct answer: Beam Y, because a long effort arm works against a short load
Beam Y, because a long effort arm works against a short load states the winning geometry: with the pivot set near the weight, the input travels far while the weight travels little, so the input force is multiplied. Beam X, because a mid pivot aids effort despite a level load fails, since matched arms give a mechanical advantage of exactly one and the push simply equals the weight. Beam Y, because a load slung beside a grip trims real effort names the right beam but the wrong geometry, as beam Y carries its weight beside the pivot rather than beside the hand. Beam X, because a paired rod setup halves a load plus effort invents a gain that matched arms can never supply.
- A heavy spinning grindstone suddenly breaks free of its mounting. According to the principle of centrifugal force, in what direction does a chip of stone fly off the rim?
- Nowhere, along a frozen course clamped to its own socket
- Upward, along a vertical path raised square to its floor
- Inward, along a tighter spiral pulled back to its center
- Outward, along a line drawn tangent to its release point
Correct answer: Outward, along a line drawn tangent to its release point
Once the bond fails nothing bends the fragment, so it departs Outward, along a line drawn tangent to its release point, carrying only the inertia it already had. Inward, along a tighter spiral pulled back to its center describes the inward pull that existed solely while the mounting still held. Upward, along a vertical path raised square to its floor ignores the plane of rotation entirely, and Nowhere, along a frozen course clamped to its own socket denies the motion the wheel had already given the fragment.
- Which everyday situation is the best example of centrifugal force at work?
- Lead weight pulled to the taut end of a slack cord
- Thicker manual set level to the oak top of a bench
- Small ball slowed to the dead halt of a rough road
- Water flung outward to the far wall of a spun drum
Correct answer: Water flung outward to the far wall of a spun drum
Rotation is the giveaway: Water flung outward to the far wall of a spun drum is the textbook case, because a spun body throws its contents away from the axis. Lead weight pulled to the taut end of a slack cord is plain gravity acting downward with no rotation whatever. Thicker manual set level to the oak top of a bench involves no motion at all, and Small ball slowed to the dead halt of a rough road is friction acting along a straight line.
- A simple machine such as an inclined plane lets a worker move a heavy load up to a higher level using less force. In exchange for the reduced force, what must the worker accept?
- Forfeiting the gain a gentle rise once gave
- Making a fresh power pulse inside the plank
- Shifting the crate along a longer ramp path
- Adding the extra work a direct hoist avoids
Correct answer: Shifting the crate along a longer ramp path
A slope buys force with distance, so what the worker takes on is Shifting the crate along a longer ramp path rather than a short vertical haul. Forfeiting the gain a gentle rise once gave has it backward, since a gentler rise raises the advantage instead of voiding it. Making a fresh power pulse inside the plank invents energy that no simple machine can supply, and Adding the extra work a direct hoist avoids is wrong because the ideal work stays the same either way.
- A ramp is 12 feet long and rises to a height of 3 feet. Ignoring friction, what is the ideal mechanical advantage of this inclined plane?
- a 2 to 1 lift
- a 9 to 1 haul
- a 36 to 1 tug
- a 4 to 1 gain
Correct answer: a 4 to 1 gain
The ideal advantage of a ramp is its length divided by its rise, so twelve over three yields a 4 to 1 gain, with the push at a quarter of the weight and the travel four times longer. Multiplying the two figures instead gives a 36 to 1 tug, subtracting them gives a 9 to 1 haul, and doubling the three-foot rise to six before dividing gives a 2 to 1 lift. None of those operations describes an inclined plane.
- A practice mechanical-reasoning item shows two interlocking gears: gear A has 10 teeth, gear B has 40 teeth. When gear A makes 8 full turns, how many turns does gear B make?
- 8 in, 4 out
- 8 in, 16 out
- 8 in, 2 out
- 8 in, 32 out
Correct answer: 8 in, 2 out
Turn count runs inversely with tooth count, so the forty-tooth wheel logs 8 in, 2 out against its ten-tooth driver. Multiplying by four instead of dividing gives 8 in, 32 out, and multiplying by two gives 8 in, 16 out; both treat the big wheel as the faster one. Dividing by two rather than four gives 8 in, 4 out, which would suit a twenty-tooth mate instead.
- In a mechanical concepts practice scenario, two pistons share the same hydraulic fluid. A small piston with an area of 2 square inches connects to a large piston with an area of 10 square inches. A push of 30 pounds on the small piston produces how much force on the large piston?
Correct answer: 150 lb
Pressure is shared throughout a trapped fluid, so force scales with area: thirty pounds on two square inches becomes 150 lb on ten square inches. Dividing by the area ratio instead of multiplying gives six lb, a figure smaller than the input push and so impossible here. Multiplying the push by the large face alone gives 300 lb, and multiplying by the small face alone gives 60 lb; both skip the ratio between the two faces.
- Three external spur gears are arranged in a row, each meshing with the next. If the first gear turns clockwise, which direction does the third (last) gear turn?
- Backward, since a clockwise mesh turn leads
- Wobbly, since a clockwise impulse dies away
- Clockwise, since a doubled flip cancels out
- Stalled, since a clockwise clamp locks hard
Correct answer: Clockwise, since a doubled flip cancels out
Every mesh reverses the direction, so two reversals restore it: Clockwise, since a doubled flip cancels out is what the third wheel does. Backward, since a clockwise mesh turn leads counts a single reversal and would hold only for an even count of wheels. Wobbly, since a clockwise impulse dies away describes a spring rather than a gear train, and Stalled, since a clockwise clamp locks hard denies the drive that each mesh passes along.
- Two pulleys are connected by a belt. The drive pulley is 6 inches in diameter and the driven pulley is 3 inches in diameter. If the drive pulley turns at 500 RPM, how fast does the driven pulley turn?
- 1500 RPM, a 3 to 1 up
- 250 RPM, a 2 to 1 cut
- 1000 RPM, a 2 to 1 up
- 500 RPM, a 1 to 1 tie
Correct answer: 1000 RPM, a 2 to 1 up
Belt speed runs inversely with diameter, so a six-inch driver at five hundred spins a three-inch pulley at 1000 RPM, a 2 to 1 up. Treating the two diameters as a threefold step gives 1500 RPM, a 3 to 1 up, which six against three can never produce. Inverting the diameters gives 250 RPM, a 2 to 1 cut, and treating them as equal gives 500 RPM, a 1 to 1 tie; neither fits this belt pair.
- A worker can apply 50 pounds of effort and needs to lift a 250-pound load with a lever. What is the minimum mechanical advantage the lever must provide?
- a 10 to 1 lift
- a 5 to 1 gain
- a 200 to 1 tug
- a 3 to 1 pry
Correct answer: a 5 to 1 gain
The bar must raise five times what the worker can push, since two hundred fifty over fifty calls for a 5 to 1 gain, with the effort arm at least five times the load arm. Subtracting the forces gives a 200 to 1 tug, which is a weight rather than a multiplier. Doubling the answer gives a 10 to 1 lift, and settling for a 3 to 1 pry would leave the worker short of the weight.
- A bottle opener pivots on the lip of the cap (the fulcrum) at one end, lifts the cap (the load) just inside that, and is pressed by the hand (the effort) at the far end. Which class of lever is this?
- A third-class lever
- A second-class lever
- A differential lever
- A first-class lever
Correct answer: A second-class lever
The cap edge sits between the pivot at the lip and the hand at the far end, and a load caught between pivot and effort defines A second-class lever. A first-class lever would place the pivot between the hand and the cap instead. A third-class lever would place the hand between the pivot and the cap, which is the fishing-rod layout. A differential lever names a compound linkage, not one of the three lever classes.
- A compound pulley system is rigged with 3 supporting strands and is used to raise a load 4 feet. How much rope must the operator pull through the system?
- 12 ft of slack rope
- four ft of new rope
- 7 ft of coiled rope
- 48 ft of limp rope
Correct answer: 12 ft of slack rope
Three supporting strands cut the pull to a third and stretch the travel threefold, so raising the weight four feet takes 12 ft of slack rope. Hauling only four ft of new rope would suit a single fixed wheel that gives no force gain at all. Adding the strands to the lift gives 7 ft of coiled rope, and reading the four-foot lift as its forty-eight inches gives 48 ft of limp rope; neither matches a three-strand rig.
- A gear with 25 teeth drives a gear with 75 teeth. By what factor is the output torque changed compared with the input torque, ignoring friction?
- Torque swells to triple the drive rate
- Torque levels to match the drive value
- Torque plummets to one third the drive
- Torque rockets to nine times the drive
Correct answer: Torque swells to triple the drive rate
Gearing up in size gears down in speed, so a twenty-five against seventy-five step means Torque swells to triple the drive rate while the output shaft turns three times slower. Torque levels to match the drive value cannot happen once the speed falls, because speed and turning force always trade inversely. Torque plummets to one third the drive inverts the ratio, and Torque rockets to nine times the drive squares it; the gain is the plain three-to-one ratio.
- A see-saw balances when a 90-pound child sits 4 feet from the fulcrum and another child sits 3 feet from the fulcrum on the opposite side. How much does the second child weigh?
- a total of 270 lb
- a weight of 120 lb
- a sum of ninety lb
- a value of 67.5 lb
Correct answer: a weight of 120 lb
A plank balances when the moments match, so ninety pounds at four feet against a seat three feet out needs a weight of 120 lb. The child on the shorter arm has to be heavier, so a value of 67.5 lb reverses the two arms and lightens the wrong seat. Multiplying the first child's weight by the three-foot arm rather than dividing by it gives a total of 270 lb, and simply copying the first child gives a sum of ninety lb; neither balances the moments.
- A drive pulley 4 inches in diameter is belted to a driven pulley 12 inches in diameter. How does the larger driven pulley affect the output compared with the drive pulley?
- Slower turn, stronger torque
- Quicker turn, feebler torque
- Swifter turn, heftier torque
- Level turn, weightier torque
Correct answer: Slower turn, stronger torque
A bigger driven wheel completes fewer turns for each belt pass yet carries the same belt pull on a longer radius, so the output shows Slower turn, stronger torque. Quicker turn, feebler torque fits a smaller driven wheel instead of a larger one. Swifter turn, heftier torque would create energy out of nothing, and Level turn, weightier torque ignores the twelve-against-four size change altogether.
- A claw hammer is used to pull a nail: the head rocks on its curved face (the fulcrum), the nail (the load) is gripped just past it, and the hand pulls the handle (the effort) far away. Which lever class is this, and what does it gain?
- Class two lever, wasting the muscle
- Class one lever, magnifying the tug
- Class three lever, gaining the dash
- Class one lever, easing the squeeze
Correct answer: Class one lever, magnifying the tug
The head rocks on a pivot that sits between the nail and the hand, and the long handle dwarfs the short claw, so the answer is Class one lever, magnifying the tug. Class one lever, easing the squeeze names the right class but inverts the payoff, since a long arm working a short one raises force. Class two lever, wasting the muscle misplaces the pivot, and Class three lever, gaining the dash describes a rod or a broom rather than a claw hammer.
- A practice mechanical-reasoning question shows a single fixed pulley and a single movable pulley combined to lift one load. What is the resulting mechanical advantage of this two-pulley arrangement?
- a 3 to 1 pull
- a 1 to 1 hold
- a 4 to 1 haul
- a 2 to 1 gain
Correct answer: a 2 to 1 gain
One rope runs under the traveling block and back up, so two strands carry the weight and the rig gives a 2 to 1 gain. The fixed wheel merely turns the pull downward and adds no force, so a 1 to 1 hold undercounts the strands that hold the weight. Counting the fixed wheel as a multiplier gives a 3 to 1 pull, and counting both wheels twice over gives a 4 to 1 haul.
- A merry-go-round spins at a steady rate and a rider feels pushed toward the outer rail. What does this outward 'centrifugal' sensation actually result from?
- Gravity tugging a slanted pull against a loose seat
- Inertia holding a straight line against a bent path
- Engine forcing a faster spin against a slack launch
- Suction dragging a solid force against a steel rail
Correct answer: Inertia holding a straight line against a bent path
A body keeps the straight motion it already has while the deck curves beneath it, which is Inertia holding a straight line against a bent path. Gravity tugging a slanted pull against a loose seat fails because gravity acts downward, never sideways. Engine forcing a faster spin against a slack launch cannot apply at a steady rate, and Suction dragging a solid force against a steel rail invents an outward pull that nothing supplies; the genuine force points inward.
- Two meshed gears, a drive gear and a driven gear, turn at the same speed. What must be true about their teeth?
- Driver teeth outnumber driven teeth twice
- Driver teeth equal driven teeth precisely
- Driven teeth outnumber driver teeth twice
- Driven teeth undercut driver teeth barely
Correct answer: Driver teeth equal driven teeth precisely
Two meshed wheels share one rim speed, so matched running speed demands that Driver teeth equal driven teeth precisely, a one-to-one mesh. Driver teeth outnumber driven teeth twice would spin the mate twice as fast. Driven teeth outnumber driver teeth twice would halve its speed, and Driven teeth undercut driver teeth barely would still leave a small speed difference, since any gap in tooth count shifts speed inversely.
- A fishing rod is held at the butt end (the fulcrum), gripped with the hand a short way up (the effort), and the fish pulls at the far tip (the load). Which lever class is this, and what is its trade-off?
- Class three lever, reach outruns muscle
- Third class lever, torque trumps travel
- Class two lever, leverage swamps motion
- Class one lever, thrust crushes stretch
Correct answer: Class three lever, reach outruns muscle
A hand gripping between the butt and the fish makes this a third-class layout, whose advantage sits under one, so Class three lever, reach outruns muscle states the trade correctly. Third class lever, torque trumps travel picks the right class with the wrong payoff. Class two lever, leverage swamps motion and Class one lever, thrust crushes stretch both misplace the grip and promise a force gain this geometry cannot deliver.
- A hand-crank winch has a handle that sweeps a 12-inch radius circle and winds rope onto a drum of 3-inch radius. Treating it as a wheel and axle, what is its ideal mechanical advantage?
- a 36 to 1 pry
- a 9 to 1 grip
- a 3 to 1 lift
- a 4 to 1 pull
Correct answer: a 4 to 1 pull
A wheel and axle multiplies by the radius ratio, so a twelve-inch sweep on a three-inch drum yields a 4 to 1 pull while the handle travels four times farther. Multiplying the radii gives a 36 to 1 pry, squaring the drum radius gives a 9 to 1 grip, and reading the drum radius alone gives a 3 to 1 lift; none of those is the ratio between the two radii.
- In a fluid-filled hydraulic jack, pressing the small piston down 8 inches raises the large piston only 1 inch, but with much greater force. What principle explains this force gain?
- Friction churning beside a tight bore lifts raw shove
- Lightness sitting inside a broad head cuts lift costs
- Equal pressure meeting a wider face yields extra push
- Liquid surging past a narrow valve makes fresh energy
Correct answer: Equal pressure meeting a wider face yields extra push
A trapped fluid carries one pressure everywhere, and that pressure acting on a bigger face gives a bigger output, so Equal pressure meeting a wider face yields extra push. Friction churning beside a tight bore lifts raw shove is backward, since drag always subtracts from the usable output. Lightness sitting inside a broad head cuts lift costs confuses the weight of a part with the force it delivers, and Liquid surging past a narrow valve makes fresh energy would create energy from nothing; the jack merely trades a long input stroke for a short, powerful output one.
- A drive gear with 30 teeth turns a driven gear, and the driven gear ends up rotating at exactly half the drive gear's speed. How many teeth does the driven gear have?
- 45, a 3 to 2 cut
- 60, a 2 to 1 cut
- 90, a 3 to 1 cut
- 15, a 2 to 1 up
Correct answer: 60, a 2 to 1 cut
Halving the output speed calls for doubling the tooth count, so a thirty-tooth driver needs a mate of 60, a 2 to 1 cut. A mate of 45, a 3 to 2 cut would slow the output to two thirds rather than to a half. A mate of 90, a 3 to 1 cut would drop it to a third, and 15, a 2 to 1 up would double the output speed instead of halving it.
- A wheelbarrow loaded with bricks needs less lifting effort when the bricks are placed near the wheel rather than near the handles. Why does moving the load toward the wheel reduce the effort?
- Grouping barrow levers beside third rank types
- Shrinking cargo arm beside untouched grip span
- Swelling brick heft beside usual weight totals
- Erasing pivot roles beside wheel contact spots
Correct answer: Shrinking cargo arm beside untouched grip span
Sliding the bricks toward the wheel leaves the handles exactly where they were, so the result is Shrinking cargo arm beside untouched grip span, and a shorter carrying arm against an unchanged pushing arm raises the advantage. Grouping barrow levers beside third rank types is false, since a barrow stays second class whatever the bricks do. Swelling brick heft beside usual weight totals is wrong because nothing was added, and Erasing pivot roles beside wheel contact spots is wrong because the wheel keeps serving as the pivot.
- A practice item compares two ways to raise the same load: a single fixed pulley versus a single movable pulley. Which statement correctly contrasts them?
- Movable doubles pull, fixed steers rope
- Movable angles line, fixed twins effort
- Movable cuts weight, fixed mirrors gain
- Movable bends path, fixed guides travel
Correct answer: Movable doubles pull, fixed steers rope
One strand rises from the anchor and one leaves the traveling block, so Movable doubles pull, fixed steers rope is the correct contrast. Movable angles line, fixed twins effort reverses the two roles entirely. Movable cuts weight, fixed mirrors gain credits the anchored wheel with a force gain it cannot supply, and Movable bends path, fixed guides travel denies the traveling block the two supporting strands that halve the pull.
- A long wooden plank rests on the ground. A worker wants to pivot it up using a rock placed under the plank, pushing down on the far end while a heavy stone sits on the near end. Where should the worker place the rock to lift the stone with the LEAST pushing force?
- Halfway along the level plank
- Tight against the loaded edge
- Snug beneath the worker boots
- Close behind the pushing hand
Correct answer: Tight against the loaded edge
The shorter the weighted arm and the longer the pushing arm, the smaller the force needed, so the fulcrum belongs Tight against the loaded edge. Halfway along the level plank makes both arms equal and leaves the advantage at one. Snug beneath the worker boots and Close behind the pushing hand both shorten the pushing arm and stretch the weighted arm, which raises the force needed rather than lowering it.
- A worker must raise a heavy bucket to a rooftop and finds it far easier to PULL DOWNWARD on a rope than to lift the bucket directly. The rope runs over a single wheel bolted to a beam at the roof edge. What does this single wheel provide?
- Turned cable path, steady muscle demands
- Doubled wrist force, lighter arm tension
- Halved cord travel, plain forearm effort
- Lessened lift weight, fresh rope heading
Correct answer: Turned cable path, steady muscle demands
A wheel bolted to the beam cannot travel with the bucket, so all it supplies is Turned cable path, steady muscle demands, an advantage of exactly one. Doubled wrist force, lighter arm tension would need a traveling block carrying two supporting strands. Halved cord travel, plain forearm effort has it backward, since an anchored wheel alters neither travel nor pull, and Lessened lift weight, fresh rope heading claims a gain no anchored wheel can make; hauling downward is simply kinder to the body.
- A drive gear with 16 teeth meshes with a driven gear that has 64 teeth. For every full revolution the driven gear makes, how many revolutions does the drive gear make?
- Four to one
- One to one
- Sixteen to one
- A quarter turn
Correct answer: Four to one
Turn counts run inversely with tooth counts, so a sixteen-tooth driver against a sixty-four-tooth wheel runs Four to one. One to one would demand matched tooth counts on both wheels. Sixteen to one reads the driver tooth count itself as the turn count, and A quarter turn inverts the pair and describes what the big wheel does, not the small one.
- Two meshed spur gears turn against each other. The drive gear is small with 12 teeth and the driven gear is large with 48 teeth. Compared with the drive gear, the large driven gear turns with:
- Hefty twist, sluggish spin
- Puny twist, unchanged spin
- Mighty twist, brisker spin
- Feeble twist, swifter spin
Correct answer: Hefty twist, sluggish spin
Stepping from twelve teeth up to forty-eight multiplies the turning effort fourfold and divides rotational speed by the same four, so the big wheel shows Hefty twist, sluggish spin. Puny twist, unchanged spin ignores both halves of that trade. Feeble twist, swifter spin fits a smaller driven wheel instead of this forty-eight-tooth one, since only a smaller mate can outrun its driver. Mighty twist, brisker spin would create energy out of nothing, since it asks for more turning effort and more speed at once.
- In a gear train, an idler gear sits between the drive gear and the final driven gear. The drive gear has 20 teeth, the idler has 35 teeth, and the final driven gear has 20 teeth. What is the overall speed ratio between the drive gear and the final driven gear?
- a 35 to 20 cut
- a half cut
- a 20 to 35 cut
- a 1 to 1 tie
Correct answer: a 1 to 1 tie
The middle wheel cancels out of the arithmetic, so twenty driving twenty through a thirty-five idler yields a 1 to 1 tie. The idler only adds a second mesh, and because every mesh reverses the turn, those two reversals cancel and the final wheel spins the same way as the drive gear. Both a 35 to 20 cut and a 20 to 35 cut treat the idler tooth count as part of the ratio, which it never is. a half cut would require the final wheel to carry twice the teeth of the driver.
- Two pulleys are connected by an uncrossed flat belt. The drive pulley has a diameter of 3 inches and turns at 600 RPM. The driven pulley has a diameter of 9 inches. How fast does the driven pulley turn?
- 1800 RPM, a 3 to 9 up
- 300 RPM, a 2 to 1 dip
- 200 RPM, a 9 to 3 cut
- 600 RPM, a 1 to 1 tie
Correct answer: 200 RPM, a 9 to 3 cut
Belt speed runs inversely with diameter, so a three-inch driver at six hundred spins a nine-inch pulley at 200 RPM, a 9 to 3 cut. Inverting the two diameters gives 1800 RPM, a 3 to 9 up, a speed no larger driven pulley can reach. Halving rather than thirding gives 300 RPM, a 2 to 1 dip, and treating the pulleys as matched gives 600 RPM, a 1 to 1 tie.
- A hydraulic lift has a small input piston with an area of 3 square inches and a large output piston with an area of 24 square inches. To raise the output piston by 1 inch, how far must the input piston be pushed down?
- 3 in of plunger descent
- one in of handle stroke
- 24 in of cylinder slide
- 8 in of downward travel
Correct answer: 8 in of downward travel
The same fluid volume shifts on both sides, so a face eight times larger climbs an eighth as far and the input needs 8 in of downward travel. A figure of one in of handle stroke would hold only if the two faces matched in area. Both 3 in of plunger descent and 24 in of cylinder slide read one area alone as the ratio, instead of the eight-to-one ratio between the two faces.
- A sealed hydraulic system has fluid pushed by a piston that applies 60 pounds over an area of 2 square inches. What pressure does this create throughout the confined fluid?
- sixty PSI of thrust
- 30 PSI of tightness
- fifteen PSI of drag
- 120 PSI of pushback
Correct answer: 30 PSI of tightness
Force divided by area sets the reading, so sixty pounds spread across two square inches gives 30 PSI of tightness, and Pascal's rule carries that value to every corner of the trapped fluid. sixty PSI of thrust simply repeats the applied load without dividing by the area at all. 120 PSI of pushback multiplies where it should divide, and fifteen PSI of drag divides twice over.
- Water flows steadily through a horizontal pipe and passes from a wide section into a narrower section. Compared with the wide section, in the narrow section the water moves:
- Quicker, since a downhill drop pulls liquid onward
- Slower, since a pinched throat blocks free passage
- Faster, since a fixed current crowds tighter bores
- Steady, since a constant volume keeps equal speeds
Correct answer: Faster, since a fixed current crowds tighter bores
Continuity forces the same volume past every point each second, so the stream must speed up where the bore tightens: Faster, since a fixed current crowds tighter bores. Quicker, since a downhill drop pulls liquid onward adds a slope this level run does not have. Slower, since a pinched throat blocks free passage confuses restriction with velocity, and Steady, since a constant volume keeps equal speeds mistakes a constant flow rate for a constant velocity.
- A tall water tank has two outlet taps on its side: one near the top and one near the bottom. With the tank full, which tap delivers water under greater pressure?
- The crest tap, since falling drops gather pace
- The upper tap, since height boosts liquid push
- The base tap, since deeper liquid presses down
- The twin taps, since liquid feeds spouts alike
Correct answer: The base tap, since deeper liquid presses down
Fluid pressure grows with depth because the weight of everything above bears on that point, so The base tap, since deeper liquid presses down is correct. The upper tap, since height boosts liquid push inverts the rule outright. The crest tap, since falling drops gather pace describes free fall rather than static head, and The twin taps, since liquid feeds spouts alike ignores the difference in depth between the two outlets.
- A worker spins a bucket of water rapidly in a vertical circle on a rope, and the water stays in the bucket even at the top of the loop. What keeps the water pressed against the bottom of the bucket?
- Pressure inside a sealed pocket holds the water against the bucket
- Inertia along a straight path presses the water against the bucket
- Tension inside a swinging rope throws the water against the bucket
- Centrifugal force amid a spiral hurls the water against the bucket
Correct answer: Inertia along a straight path presses the water against the bucket
Correct: "Inertia along a straight path presses the water against the bucket". A moving body keeps going straight until something curves it, and here the bucket bottom is what forces the water to curve, so the water leans on that bottom the whole way round. "Pressure inside a sealed pocket holds the water against the bucket" fails because an open bucket traps no sealed pocket of air and ordinary air pressure acts on every side equally. "Tension inside a swinging rope throws the water against the bucket" fails because the rope pulls on the handle, not on the water, and its pull is directed toward the hand rather than outward. "Centrifugal force amid a spiral hurls the water against the bucket" names a force that does not exist: what feels like an outward shove is only the water's own straight-line tendency.
- A spinning wet grinding wheel flings water droplets off its rim in straight lines that fly outward away from the wheel. This behavior is BEST explained by which principle?
- Droplets continue unchanged whenever inward pull vanishes
- Outward centrifugal force scatters droplets beyond wheels
- Surrounding vapor attracts droplets toward calmer regions
- Downward gravity launches droplets sideways past grinders
Correct answer: Droplets continue unchanged whenever inward pull vanishes
Correct: "Droplets continue unchanged whenever inward pull vanishes". Newton's first law says a body in motion holds its speed and direction until an unbalanced force acts, so a droplet that loses its grip on the rim simply carries on along the tangent. "Outward centrifugal force scatters droplets beyond wheels" invokes an outward force that is not real; the outward drift is the absence of an inward force, not the presence of an outward one. "Surrounding vapor attracts droplets toward calmer regions" fails because still air neither attracts water nor steers it, and any air effect would slow the droplet rather than aim it. "Downward gravity launches droplets sideways past grinders" fails because gravity acts straight down and cannot throw anything sideways.
- A heavy crate sits on a flat floor. A worker pushes harder and harder, but it does not move until a certain force is reached, after which it suddenly slides. The force that had to be overcome to start the crate moving is called:
- Kinetic sliding force
- Resting crate inertia
- Static friction force
- Downward weight force
Correct answer: Static friction force
Correct: "Static friction force". The resistance that must be beaten before a stationary body begins to slip is the static resistance between the two touching surfaces, and it is normally larger than the resistance felt once slipping has begun. "Kinetic sliding force" names the smaller resistance that appears only after motion starts, which is why the push suddenly feels easier. "Resting crate inertia" confuses reluctance to accelerate, a property of mass alone, with a surface effect that depends on the two materials in contact. "Static friction force" is what the question asks for. "Downward weight force" names the pull of the earth, which presses the body down but is not itself the barrier the worker must overcome to make it slip.
- A tall, narrow filing cabinet with all its heavy drawers pulled out at once is much more likely to tip over than the same cabinet with drawers closed. Why?
- Open drawers push the center of gravity beyond the base
- Open drawers break the floor grip of the loaded cabinet
- Open drawers cut the total weight of the filing cabinet
- Open drawers create the drag of wind against the panels
Correct answer: Open drawers push the center of gravity beyond the base
Correct: "Open drawers push the center of gravity beyond the base". A body stays upright only while the point where its weight acts stays above the footprint it rests on; sliding heavy drawers forward moves that point out past the footprint, and the unit topples. "Open drawers break the floor grip of the loaded cabinet" fails because the grip between feet and floor resists sliding, not tipping, and opening drawers does not reduce it. "Open drawers cut the total weight of the filing cabinet" fails because sliding drawers out rearranges mass without removing any, so the total stays the same. "Open drawers create the drag of wind against the panels" fails because indoor air currents exert forces far too small to overturn a loaded steel unit.
- Two identical coil springs are mounted side by side. Spring A is compressed 2 inches and Spring B is compressed 4 inches. Compared with Spring A, the force Spring B pushes back with is:
- Quadruple the recoil pull
- Half the outward pressure
- Double the elastic thrust
- Exactly the original push
Correct answer: Double the elastic thrust
Correct: "Double the elastic thrust". A coil's restoring push rises in direct proportion to how far it is squeezed, so squeezing one twice as far as the other makes it push back twice as hard. "Quadruple the recoil pull" would follow only if the push grew with the square of the squeeze, which is not how a linear coil behaves. "Half the outward pressure" inverts the relationship, treating a deeper squeeze as a weaker push. "Exactly the original push" would be right only if the push were fixed regardless of squeeze, which would make a spring scale useless.
- A worker uses a 30-inch breaker bar to loosen a stubborn bolt and applies 40 pounds of force at the very end. What torque, in inch-pounds, is applied to the bolt?
- 1400 inch-pounds
- 1200 inch-pounds
- 1600 inch-pounds
- 1000 inch-pounds
Correct answer: 1200 inch-pounds
Correct: "1200 inch-pounds". Twisting effect equals the applied force multiplied by the length of the lever arm, so 40 pounds acting 30 inches from the fastener gives 40 times 30. Each wrong figure comes from using a lever arm other than the 30 inches the question states. "1400 inch-pounds" treats the bar as 35 inches. "1600 inch-pounds" multiplies 40 by 40, using the force value a second time in place of the bar length. "1000 inch-pounds" treats the bar as 25 inches.
- A block-and-tackle has its rope passing so that five strands support the movable block holding the load. To lift the load steadily, ignoring friction, the worker must pull the rope a distance that is:
- Barely half the distance the strands contract
- Fivefold the distance the raised load travels
- Twofold the distance the hanging load crosses
- Fourfold the distance the heavy load advances
Correct answer: Fivefold the distance the raised load travels
Correct: "Fivefold the distance the raised load travels". Work is conserved, so whatever is saved in effort must be paid back in rope: with five supporting strands the effort drops to a fifth and the rope must run five times as far. "Barely half the distance the strands contract" inverts the trade, suggesting the rope moves less than the weight, which would give free work. "Twofold the distance the hanging load crosses" would be right for a single movable sheave carrying two strands, not for five. "Fourfold the distance the heavy load advances" matches a four-strand arrangement and so undercounts the supporting strands by one.
- A wheelbarrow's wheel acts as the pivot, the load sits in the bin, and the worker lifts at the handles. If the worker grips the handles farther back, increasing the distance from the wheel to the hands, lifting becomes:
- Easier because the effort arm became longer
- Harder because the extended bar adds weight
- Steady because the entire load stayed equal
- Simpler because the wheel spins very freely
Correct answer: Easier because the effort arm became longer
Correct: "Easier because the effort arm became longer". With the axle acting as the pivot, moving the hands back lengthens the arm through which the worker acts, and a longer arm multiplies force, so the same lift is achieved with less muscle. "Harder because the extended bar adds weight" fails because the handles themselves weigh almost nothing next to the burden in the tray. "Steady because the entire load stayed equal" fails because the burden is unchanged but the leverage is not, and leverage is what decides the effort. "Simpler because the wheel spins very freely" fails because axle spin affects rolling, not the lifting effort at the grips.
- A worker rolls a heavy barrel up a ramp instead of lifting it straight up onto a truck bed. Using the ramp, the worker applies:
- Stronger push along a shorter ascent
- Weaker effort along a longer stretch
- Identical push along a steeper slope
- Lighter shoving along a shorter path
Correct answer: Weaker effort along a longer stretch
Correct: "Weaker effort along a longer stretch". An inclined surface is a simple machine: it cuts the force needed by spreading the same total work over a greater travel, so the worker presses less hard but pushes much farther. "Stronger push along a shorter ascent" reverses the bargain, demanding more force over less travel, which is what lifting vertically already requires. "Identical push along a steeper slope" denies any gain at all, which would make the plank pointless. "Lighter shoving along a shorter path" claims a saving in both force and travel at once, which would create work out of nothing.
- A flywheel keeps spinning smoothly long after the motor driving it is switched off, helping a machine run steadily. The property that keeps the heavy flywheel turning is:
- Inertia carried by its massive rotating wheel
- Friction created by its worn bearing surfaces
- Pressure stored by its sealed hydraulic lines
- Centrifugal force thrown by its whirling rims
Correct answer: Inertia carried by its massive rotating wheel
Correct: "Inertia carried by its massive rotating wheel". A large rotating mass resists any change to its rate of spin, so once brought up to speed it carries on by itself and smooths out the jerks in the drive. "Friction created by its worn bearing surfaces" fails because rubbing at the shaft opposes the spin and is exactly what brings it to rest. "Pressure stored by its sealed hydraulic lines" fails because there is no fluid store in a plain rotating disc. "Centrifugal force thrown by its whirling rims" names an apparent outward effect that stresses the disc but supplies nothing that keeps it spinning.
- A worker compares two ways to raise a 200-pound load: a single fixed pulley or a single movable pulley. Ignoring friction, the movable pulley lets the worker lift the load with:
- Nearly two hundred pounds or the whole load
- Roughly one hundred pounds or half the load
- Maybe four hundred pounds or twice the load
- Barely fifty pounds or one quarter the load
Correct answer: Roughly one hundred pounds or half the load
Correct: "Roughly one hundred pounds or half the load". A sheave that travels with the weight is held up by two rope sections, and those two sections share the burden, so the hand feels about half of it. "Nearly two hundred pounds or the whole load" describes the fixed arrangement, which only turns the rope around and changes nothing about the effort. "Maybe four hundred pounds or twice the load" doubles the burden instead of sharing it, which no arrangement of rope can do. "Barely fifty pounds or one quarter the load" assumes four supporting sections rather than two. The saving is paid for by pulling twice as much rope.
- Read the passage, then answer. Passage: A line crew uses a tool called a hot stick to handle energized conductors at a safe distance. The hot stick is a long fiberglass pole with a metal attachment on the end. Because fiberglass does not conduct electricity, the worker holding the lower end is protected even while the upper end touches a live wire. Crews inspect each hot stick before use and reject any that show cracks or surface contamination, because moisture or dirt on the surface can create a path for current. Question: According to the passage, why is the worker protected while using a hot stick?
- The metal attachment deflects the moving current
- The insulating shaft blocks the electric current
- The polished surface rejects the passing current
- The upper wire discharges the current beforehand
Correct answer: The insulating shaft blocks the electric current
Correct: "The insulating shaft blocks the electric current". The passage gives one reason and only one: the long pole is fiberglass, and fiberglass will not carry electricity, so the lineworker gripping the bottom stays out of the circuit. "The metal attachment deflects the moving current" credits the fitting on the far end, but the passage assigns it no protective role at all. "The polished surface rejects the passing current" is contradicted by the passage, which warns that dirt or damp on the outside of the pole can open a path for current rather than turn it away. "The upper wire discharges the current beforehand" is contradicted by the sentence saying the far end touches a live conductor.
- Read the passage, then answer. Passage: When a transformer is taken out of service for maintenance, the crew follows a fixed order of steps. First, the load is transferred to a backup unit so customers are not interrupted. Second, the transformer is electrically isolated by opening the disconnect switches on both sides. Third, the crew applies grounds to drain any stored charge. Only after grounds are confirmed in place may a worker approach the equipment. Question: According to the passage, which step is performed immediately before a worker may approach the equipment?
- Relocating the customer load toward backup circuits
- Opening the disconnect switches beside main feeders
- Checking the transformer shell despite small cracks
- Confirming the grounding straps remain fully seated
Correct answer: Confirming the grounding straps remain fully seated
Correct: "Confirming the grounding straps remain fully seated". The passage ends its sequence by saying nobody may go near the unit until the earthing connections have been proved to be on, which makes that proof the final act before anyone approaches. "Relocating the customer load toward backup circuits" is the first act in the sequence, two steps earlier. "Opening the disconnect switches beside main feeders" is the second act, still one step too early. "Checking the transformer shell despite small cracks" describes an inspection the passage never mentions anywhere in its list of steps.
- Read the passage, then answer. Passage: A substation logbook records every entry and exit. The rule is simple: the first person to arrive unlocks the gate and signs the log with the arrival time, and the last person to leave signs out and re-locks the gate. If more than one crew is on site, each crew keeps its own page, but the gate is treated as shared. No one may relock the gate while another signed-in worker remains inside. Question: Based on the passage, who is responsible for re-locking the gate?
- Whoever initially unlocks the padlocked gate
- Whoever eventually departs the deserted yard
- Whoever normally directs the substation crew
- Whoever routinely registers the arrival time
Correct answer: Whoever eventually departs the deserted yard
Correct: "Whoever eventually departs the deserted yard". The rule in the passage ties the duty to departure order: the one who goes out after everybody else signs out and secures the entrance again. "Whoever initially unlocks the padlocked gate" describes the opposite end of the day, and the passage gives that person only the opening duty. "Whoever normally directs the substation crew" adds a rank requirement the passage never sets; the duty follows order of departure, not seniority. "Whoever routinely registers the arrival time" describes the record made on arrival, which the passage keeps separate from the closing duty.
- Read the passage, then answer. Passage: Underground cable is pulled through buried conduit using a winch and a steel pulling rope. A lubricant is poured into the conduit first to reduce friction. The crew monitors the pulling tension with a gauge; if the tension exceeds the cable's rated limit, the pull is stopped immediately because excess tension can stretch the conductor and damage the insulation. Question: According to the passage, what is the consequence of pulling tension above the rated limit?
- The buried conduit collapses and the panels fracture
- The poured lubricant hardens and the friction climbs
- The metal strand elongates and the covering ruptures
- The winching motor overheats and the gauge fractures
Correct answer: The metal strand elongates and the covering ruptures
Correct: "The metal strand elongates and the covering ruptures". The passage names exactly two harms that follow too much pull: the metal being drawn out longer than it should be, and the covering around it being harmed. "The buried conduit collapses and the panels fracture" blames the buried duct, which the passage never describes as at risk. "The poured lubricant hardens and the friction climbs" blames the slippery coating, which the passage says is poured in beforehand and never says stiffens. "The winching motor overheats and the gauge fractures" blames the hauling machine, which the passage mentions only as the thing doing the pulling.
- Read the passage, then answer. Passage: A crew is restoring power after a storm. Their priority list is set by the dispatch center and does not change in the field. Hospitals and water-pumping stations are restored first because public health depends on them. Next come main feeder lines that serve large numbers of homes. Individual service drops to single houses are restored last. A crew may not skip ahead on the list even if a single home is closer. Question: According to the passage, why are hospitals restored before main feeder lines?
- Storm damage falls heaviest upon hospital circuits
- Steeper service charges land upon hospital billing
- Shorter travel distances center upon nearest homes
- Broad community wellbeing rests upon hospital care
Correct answer: Broad community wellbeing rests upon hospital care
Correct: "Broad community wellbeing rests upon hospital care". The passage gives one reason for putting those sites at the head of the list: the wellbeing of everyone in the area rides on them staying in operation. "Storm damage falls heaviest upon hospital circuits" invents a claim about repair difficulty that the passage never makes. "Steeper service charges land upon hospital billing" invents a billing motive the passage never mentions. "Shorter travel distances center upon nearest homes" is ruled out directly, since the passage forbids jumping the queue even when a nearer job is available.
- Read the passage, then answer. Passage: A capacitor stores electrical energy and can hold a charge even after the power source is disconnected. For this reason, technicians treat a disconnected capacitor as if it were still live until it has been deliberately discharged through a resistor. The discharge is verified with a meter reading near zero volts before any terminal is touched by hand. Question: What can you infer about a capacitor that has just been disconnected from its power source?
- Leftover voltage probably renders contact deadly
- Removing power probably wrecked internal plating
- Future energy storage probably fails permanently
- Touching terminals probably stays perfectly safe
Correct answer: Leftover voltage probably renders contact deadly
Correct: "Leftover voltage probably renders contact deadly". The passage says the device keeps its stored charge after the supply is cut, and that workers therefore treat it as live until it has been bled off on purpose, so a freshly cut unit must be assumed to be able to hurt someone. "Removing power probably wrecked internal plating" reads harm into the act of cutting the supply, which the passage never suggests. "Future energy storage probably fails permanently" invents a limit on later use that the passage says nothing about. "Touching terminals probably stays perfectly safe" directly contradicts the instruction to treat the device as live until a meter shows it is drained.
- Read the passage, then answer. Passage: The main idea of a safety briefing is the single point the supervisor most wants the crew to remember that day. A briefing may list many hazards, but one is emphasized as the day's focus. On the morning described here, the supervisor mentioned weather, traffic, and footing, but returned three times to the danger of the icy access road, telling the crew to walk slowly and hold the handrail. Question: What is the main idea of this briefing?
- Predicted weather beyond the coming week
- Frozen stretches along the entrance lane
- Vehicle rules beside the traffic barrels
- Careful lifting beside the crew vehicles
Correct answer: Frozen stretches along the entrance lane
Correct: "Frozen stretches along the entrance lane". The passage defines the central point as the one thing the leader most wants held in mind, then shows that leader coming back three separate times to the slick approach route and giving instructions about it. "Predicted weather beyond the coming week" was raised once in passing and never became the repeated theme. "Vehicle rules beside the traffic barrels" falls the same way: traffic was named once among the topics run through that morning, but no vehicle rule and no barrel appears anywhere in the briefing, and the subject is never returned to. "Careful lifting beside the crew vehicles" is absent altogether from a briefing that names weather, traffic and footing and then dwells on the approach route.
- Read the passage, then answer. Passage: A reading-comprehension answer must be supported by the passage itself, not by what a reader already knows. A common mistake is choosing an answer that sounds true in general but is never actually stated in the text. The best strategy is to point to the exact sentence that supports your choice before selecting it. Question: According to the passage, how should you decide whether an answer is correct?
- Select whichever wording matches your earlier habits
- Accept whatever sounds accurate beyond your memories
- Locate one printed statement backing your conclusion
- Prefer whichever choice carries your greatest detail
Correct answer: Locate one printed statement backing your conclusion
Correct: "Locate one printed statement backing your conclusion". The passage recommends finding the one sentence that props up your selection before you commit to it, which is exactly what this describes. "Select whichever wording matches your earlier habits" is the error the passage warns about, relying on what a reader brings rather than on what the page says. "Accept whatever sounds accurate beyond your memories" names the same trap in its other form, taking something that merely rings true. "Prefer whichever choice carries your greatest detail" invents a length rule the passage never offers as a test.
- Read the passage, then answer. Passage: A meter reader records the number shown on each customer's meter once per month. The amount billed is the difference between this month's reading and last month's reading, not the number on the dial itself. If a meter is found running backward or showing a reading lower than the previous month, the reader flags it for inspection rather than recording a negative usage. Question: According to the passage, how is a customer's monthly usage determined?
- By transcribing the largest dial reading exactly
- By averaging the twelve preceding monthly totals
- By taking the gap separating consecutive tallies
- By trusting whatever estimate the reader reports
Correct answer: By taking the gap separating consecutive tallies
Correct: "By taking the gap separating consecutive tallies". The passage says the sum charged is what you get when you set one visit alongside the visit before it and take what lies between them. "By transcribing the largest dial reading exactly" is ruled out by the sentence that the charge is not the figure standing on the face itself. "By averaging the twelve preceding monthly totals" invents a yearly smoothing method the passage never describes. "By trusting whatever estimate the reader reports" is ruled out because the passage has the visitor flag an odd result for follow-up rather than guess at a quantity.
- Read the passage, then answer. Passage: A bucket truck lifts a worker in an insulated bucket to reach overhead lines. The truck must be parked on level ground and its outriggers extended before the boom is raised. Outriggers are legs that fold out from the truck body and press against the ground to keep the truck from tipping. If the ground is soft, pads are placed under the outriggers to spread the load. Question: According to the passage, what is the purpose of the outriggers?
- To stop the vehicle toppling sideways
- To level the elevated bucket overhead
- To insulate the worker against cables
- To heighten the lifting boom slightly
Correct answer: To stop the vehicle toppling sideways
Correct: "To stop the vehicle toppling sideways". The passage defines those fold-out legs as props that bear on the ground so the truck will not go over. "To level the elevated bucket overhead" confuses the legs with the platform at the top, which the passage never says they adjust. "To insulate the worker against cables" credits the legs with protection the passage assigns to the platform itself, which is insulated. "To heighten the lifting boom slightly" claims added reach, which the passage never links to the legs at all.
- Read the passage, then answer. Passage: Two crews share a single radio channel. To avoid talking over each other, they follow a strict rule: a worker presses the button, says the name of the person being called, then releases the button and waits for a reply before speaking further. Messages are kept short. If no reply comes within thirty seconds, the worker tries again. After three failed attempts, the worker switches to the backup channel. Question: According to the passage, what does a worker do after three failed attempts to reach someone?
- Bellows toward the unheard recipient
- Dispatches toward the walking runner
- Recounts toward the thirtieth second
- Transfers toward the spare frequency
Correct answer: Transfers toward the spare frequency
Correct: "Transfers toward the spare frequency". The passage sets a hard limit of three tries, after which the caller leaves the shared channel and goes to the standby one. "Bellows toward the unheard recipient" invents a volume remedy the passage never mentions. "Dispatches toward the walking runner" invents a messenger the passage never mentions. "Recounts toward the thirtieth second" describes the interval between one try and the next, which applies before the third failure, not after it.
- Read the passage, then answer. Passage: A protective relay is a device that watches an electrical circuit and signals a breaker to open when it detects a fault, such as a short circuit. The relay does not interrupt the current itself; it only sends the trip signal. The breaker is the device that actually opens the circuit. This division of duties lets one small relay control a much larger breaker. Question: According to the passage, which device actually opens the circuit?
- The small protective relay
- The metal breaker cabinets
- The breaker control orders
- The breaker hardware alone
Correct answer: The breaker hardware alone
Correct: "The breaker hardware alone". The passage splits the job in two: the watching component decides and sends word, while the heavy switching component is the one that parts the circuit. "The small protective relay" is the watcher, and the passage states plainly that it does not interrupt the flow itself. "The metal breaker cabinets" names the enclosure around the switching component rather than the working part that does the parting. "The breaker control orders" is the instruction sent, not a piece of equipment.
- Read the passage, then answer. Passage: When you cannot find a stated answer in a passage, sometimes the text implies it without saying it directly. This is called making an inference. A valid inference must follow logically from the words on the page. If a passage says a crew worked through the night and arrived home at dawn, you may infer they worked many hours, even though no exact number is given. Question: Based on the passage, which of the following is a valid inference?
- Weaker conclusions arise entirely from counting quantities
- Reliable conclusions proceed sensibly from printed wording
- Sweeping conclusions substitute blindly from stated claims
- Random conclusions emerge anywhere from unrelated guessing
Correct answer: Reliable conclusions proceed sensibly from printed wording
Correct: "Reliable conclusions proceed sensibly from printed wording". The passage defines a sound reading as one that follows by reasoning from what is actually on the page, and its night-shift example works exactly that way. "Weaker conclusions arise entirely from counting quantities" limits such reasoning to counting, which the passage never does; its own example involves no figure at all. "Sweeping conclusions substitute blindly from stated claims" has reasoning take the place of what the text says outright, whereas the passage treats it as a fallback used when nothing is said outright. "Random conclusions emerge anywhere from unrelated guessing" is exactly what the passage rules out, since an untethered guess has nothing on the page behind it.
- Read the passage, then answer. Passage: A grounding rod is a copper-coated steel rod driven into the earth to provide a low-resistance path for electrical current. Lower resistance means current flows to the ground more easily during a fault. To reach low resistance, the rod must be driven deep enough to reach moist soil, because dry soil resists current. In very dry regions, crews drive multiple rods and connect them together. Question: According to the passage, why must the grounding rod reach moist soil?
- Moistened earth eases the digging effort
- Saturated soil anchors the hammered rods
- Copper corrodes inside the sandy regions
- Parched layers impede the passing charge
Correct answer: Parched layers impede the passing charge
Correct: "Parched layers impede the passing charge". The passage gives one reason for driving deep: ground without water in it fights the flow, so a shallow rod would sit in exactly the wrong material. "Moistened earth eases the digging effort" invents an excavation convenience the passage never raises. "Saturated soil anchors the hammered rods" invents a mechanical anchoring benefit the passage never raises. "Copper corrodes inside the sandy regions" invents a corrosion claim; the passage mentions the copper coating only as part of the description.
- Read the passage, then answer. Passage: A work permit lists the exact equipment that has been made safe to work on. The permit names the equipment, the time it was isolated, and the person who isolated it. A worker may only touch equipment named on an active permit. If a worker needs to access equipment not on the permit, a new permit must be issued first. Working outside the permit is treated as a serious violation. Question: Based on the passage, what must happen before a worker accesses equipment not listed on the current permit?
- Somebody notifies the site dispatch center
- Reports record the extra equipment monthly
- Everyone postpones the repair till evening
- Someone prepares the fresh clearance paper
Correct answer: Someone prepares the fresh clearance paper
Correct: "Someone prepares the fresh clearance paper". The passage states that reaching anything outside what is already named requires a further written authority to be raised beforehand. "Somebody notifies the site dispatch center" invents a notification step the passage never sets out. "Reports record the extra equipment monthly" invents a paperwork step that would come long after the work, not before it. "Everyone postpones the repair till evening" invents a delay; the passage offers a way forward within the shift, not a wait.
- Read the passage, then answer. Passage: Heat causes metal conductors to expand and sag. On a hot summer afternoon, power lines hang lower than they do on a cold morning. Engineers account for this by leaving extra slack when lines are strung in cool weather, so the lines do not pull too tight when temperatures drop and contract. The amount of sag is checked against a chart that lists allowable sag for each temperature. Question: According to the passage, what happens to power lines on a hot afternoon compared to a cold morning?
- They blacken visibly toward afternoons
- They shorten considerably beside poles
- They deliver extra electrical amperage
- They descend markedly nearer pavements
Correct answer: They descend markedly nearer pavements
Correct: "They descend markedly nearer pavements". The passage says warmth makes the metal lengthen, so on a warm day the span settles closer to the ground than it does when the air is cold. "They blacken visibly toward afternoons" invents an appearance change the passage never mentions. "They shorten considerably beside poles" describes what happens as the air cools and the metal shrinks, the opposite case. "They deliver extra electrical amperage" invents a capacity claim the passage never makes.
- Read the passage, then answer. Passage: A scheduling clerk assigns trucks to jobs each morning. Each truck can do exactly one job per half-day. There are four trucks and the clerk has six jobs waiting. The two jobs that cannot be assigned in the morning roll over to the afternoon. Emergency jobs, however, jump ahead of all waiting jobs regardless of when they arrive. Question: Based on the passage, how many jobs roll over to the afternoon on a morning with no emergencies?
- Six unmet jobs
- Two spare jobs
- Ten total jobs
- Four idle jobs
Correct answer: Two spare jobs
Correct: "Two spare jobs". The passage gives four vehicles, each able to take a single job in the morning, against six jobs waiting, and it states outright that the pair left unassigned carries over to later in the day. "Six unmet jobs" is the whole waiting queue, as though none of the vehicles were used at all. "Ten total jobs" comes from adding the vehicle count to the job count instead of subtracting one from the other. "Four idle jobs" reports the number of vehicles rather than the number of jobs nobody could take.
- Read the passage, then answer. Passage: Personal protective equipment, or PPE, is gear worn to protect a worker from injury. Different jobs call for different PPE. The rule on this site is that PPE is matched to the specific hazard present, not worn uniformly. A worker grinding metal wears a face shield against flying sparks, while a worker handling chemicals wears goggles and gloves rated for those chemicals. Wearing the wrong PPE gives a false sense of safety. Question: What is the main idea of this passage?
- Identical gear protects everybody onsite alike
- Brief assignments require zero gear whatsoever
- Selected gear matches whichever danger appears
- Face shields outrank remaining gear everywhere
Correct answer: Selected gear matches whichever danger appears
Correct: "Selected gear matches whichever danger appears". The passage states the site rule plainly: kit is picked to fit the particular risk in front of the worker, and it illustrates that with the sparks example and the chemicals example. "Identical gear protects everybody onsite alike" is the very thing the passage rules out, since it says the kit is not worn uniformly. "Brief assignments require zero gear whatsoever" invents an exemption for short jobs that the passage never grants. "Face shields outrank remaining gear everywhere" ranks one item above the rest, which the passage never does; it presents that item as suited to one risk only.
- Read the passage, then answer. Passage: A fuse protects a circuit by melting and breaking the connection when too much current flows. Once a fuse melts, it cannot be reset; it must be replaced with a new fuse of the same rating. Installing a fuse with a higher rating than specified defeats the protection, because the new fuse will allow dangerous current to keep flowing before it melts. Question: According to the passage, what is wrong with replacing a blown fuse with a higher-rated one?
- The expensive component drains yearly budgets
- The sturdier fuse obstructs ordinary fittings
- The oversized element permits unsafe amperage
- The quicker fuse ruptures considerably sooner
Correct answer: The oversized element permits unsafe amperage
Correct: "The oversized element permits unsafe amperage". The passage says a part rated above what was specified defeats the safeguard, because it lets a harmful flow carry on before it finally parts. "The expensive component drains yearly budgets" raises a price objection the passage never makes. "The sturdier fuse obstructs ordinary fittings" raises a fit objection the passage never makes. "The quicker fuse ruptures considerably sooner" reverses the passage, which says the higher-rated part waits longer, not less long, before it gives way.
- Read the passage, then answer. Passage: A crew leader keeps a tailgate log at the start of each shift. The log records the date, the names of everyone present, and the topic discussed. Anyone who arrives after the meeting has started must be briefed separately and then added to the log with a note that they were briefed late. The log is reviewed by the safety officer once a week. Question: Based on the passage, what happens when a worker arrives after the meeting has started?
- Someone repeats the material privately and marks the tardiness
- Nobody revisits the discussion later and ignores the signature
- Latecomers postpone the session overnight and cancel the topic
- Supervisors dismiss the worker quickly and forfeit the payroll
Correct answer: Someone repeats the material privately and marks the tardiness
Correct: "Someone repeats the material privately and marks the tardiness". The passage sets out two things for anyone who turns up once proceedings are under way: the content is covered with that person on their own, and an entry is made showing the delay. "Nobody revisits the discussion later and ignores the signature" drops the separate coverage, which the passage requires. "Latecomers postpone the session overnight and cancel the topic" pushes the person to another day, which the passage never allows. "Supervisors dismiss the worker quickly and forfeit the payroll" sends the person away, which the passage never mentions.
- Read the passage, then answer. Passage: A voltage tester is used to confirm a circuit is dead before work begins. The proper method is to test the tester on a known live source first, then test the circuit, then test the tester on the live source again. This three-step check confirms the tester was working both before and after the reading, so a dead reading can be trusted. Skipping the final step risks trusting a tester that failed mid-check. Question: According to the passage, why is the tester checked on a live source a second time?
- To preheat the chilled metallic terminals
- To calculate the energized source voltage
- To recharge the depleted tester batteries
- To prove the instrument stayed functional
Correct answer: To prove the instrument stayed functional
Correct: "To prove the instrument stayed functional". The passage explains that the closing check on a known energized point shows the meter was sound at the end as well as at the start, which is what makes a dead reading trustworthy. "To preheat the chilled metallic terminals" invents a warm-up requirement the passage never mentions. "To calculate the energized source voltage" treats the closing check as a measurement of the energized point, but the passage uses that point only as a reference. "To recharge the depleted tester batteries" invents a power supply role the passage never gives it.
- Read the passage, then answer. Passage: Transformers step voltage up or down. A step-up transformer raises voltage for long-distance transmission, because high voltage travels long distances with less energy lost as heat. Near the customer, a step-down transformer lowers the voltage to a level safe for use in homes. The same physical device can act as either type depending on which side the power enters. Question: According to the passage, why is voltage raised for long-distance transmission?
- Elevated pressure surrenders minimal warmth
- Elevated pressure requires thinner wrapping
- Elevated pressure cheapens customer billing
- Elevated pressure safeguards adjacent homes
Correct answer: Elevated pressure surrenders minimal warmth
Correct: "Elevated pressure surrenders minimal warmth". The passage gives exactly one reason for raising it before a long run: at that level very little is given up as wasted heat along the way. "Elevated pressure requires thinner wrapping" is backward; a higher level calls for more separation, not less, and the passage says nothing about it either way. "Elevated pressure cheapens customer billing" invents a generation-cost claim the passage never makes. "Elevated pressure safeguards adjacent homes" is contradicted by the passage, which has the level brought back down near the customer precisely so it is fit for household use.
- Read the passage, then answer. Passage: A dispatcher receives outage reports from customers and from automated sensors on the grid. When many reports come from the same neighborhood at once, the dispatcher suspects a single shared cause, such as a failed transformer, rather than many separate problems. Treating clustered reports as one event lets the crew fix the root cause instead of chasing individual complaints. Question: What can you infer about why the dispatcher treats clustered reports as a single event?
- Neighborhood customers habitually file bogus reports
- Automated sensors routinely misread local conditions
- Dispatchers dislike lengthy paperwork stacks overall
- One singular origin outweighs countless coincidences
Correct answer: One singular origin outweighs countless coincidences
Correct: "One singular origin outweighs countless coincidences". The passage has the operator suspect a single failure behind a cluster rather than many unrelated ones, which only makes sense if one underlying fault is the likelier explanation. "Neighborhood customers habitually file bogus reports" accuses callers of lying, which the passage never suggests. "Automated sensors routinely misread local conditions" accuses the equipment of error, which the passage never suggests; it lists that equipment as a source of information. "Dispatchers dislike lengthy paperwork stacks overall" supplies a clerical motive, whereas the passage supplies a repair motive.
- Read the passage, then answer. Passage: A confined space is an area large enough to enter but not designed for continuous work, with limited entry and exit, such as a vault or a tank. Before anyone enters, the air inside is tested for oxygen level and harmful gases, because dangerous air can collect in an enclosed space. An attendant stays outside the entire time, keeping watch and maintaining contact with the worker inside. Question: According to the passage, why is the air tested before entry into a confined space?
- Oxygen readings confirm attendance amid doorframes
- Vault doorways broaden amid neighboring structures
- Poisonous vapors accumulate amid sealed enclosures
- Interior temperatures climb amid confined quarters
Correct answer: Poisonous vapors accumulate amid sealed enclosures
Correct: "Poisonous vapors accumulate amid sealed enclosures". The passage says the atmosphere is sampled for oxygen and for harmful gas because bad air builds up in a shut-in area, which is the reason the sampling exists. "Oxygen readings confirm attendance amid doorframes" assigns that sampling a purpose the passage never gives it: the watcher is posted at the opening as a standing practice, and nothing a meter reports is what establishes the watcher is there. "Vault doorways broaden amid neighboring structures" describes the size of the opening, which the passage calls limited and uses only to define the term. "Interior temperatures climb amid confined quarters" invents a heat concern the passage never raises.
- Read the passage, then answer. Passage: A wire's ampacity is the maximum current it can safely carry without overheating. Thicker wires have higher ampacity than thinner wires. When a circuit is designed, the wire is chosen so its ampacity is greater than the expected current. Using a wire with too low an ampacity for the load causes the wire to overheat, which can melt insulation and start a fire. Question: According to the passage, what happens if a wire's ampacity is too low for the load?
- The conductor heats badly and the covering blisters
- The circuit operates smoothly and the losses shrink
- The cabling thickens slowly and the ampacity climbs
- The supply delivers little and the lighting weakens
Correct answer: The conductor heats badly and the covering blisters
Correct: "The conductor heats badly and the covering blisters". The passage says a wire rated under the demand placed on it runs too hot, and that the heat can ruin the covering and set a blaze going. "The circuit operates smoothly and the losses shrink" claims an improvement, whereas the passage describes an undersized wire as a hazard. "The cabling thickens slowly and the ampacity climbs" has the wire grow, which no wire does; thickness is chosen beforehand. "The supply delivers little and the lighting weakens" has the wire simply pass less, but the passage describes it passing the demand and overheating instead.
- Read the passage, then answer. Passage: A crew rotates a single lookout among its members during traffic-zone work. The lookout watches approaching vehicles and warns the crew, doing no other task. The rotation is every thirty minutes so that no one's attention fades from staring at traffic too long. The crew leader keeps a small timer and announces each switch. Question: Based on the passage, why is the lookout rotated every thirty minutes?
- Repeated lifting strains elbow tendons
- Regional statutes limit shift duration
- Prolonged gazing dulls human alertness
- Members anticipate equal driving turns
Correct answer: Prolonged gazing dulls human alertness
Correct: "Prolonged gazing dulls human alertness". The passage gives the half-hour swap a single reason: watching the road for a long stretch lets concentration slip, so the duty is handed on before that happens. "Repeated lifting strains elbow tendons" invents a physical-strain reason, and the passage says the watcher does no other task. "Regional statutes limit shift duration" invents a legal limit the passage never mentions. "Members anticipate equal driving turns" invents a fairness motive about vehicles, which the passage never raises.
- Read the passage, then answer. Passage: A circuit can be wired in series or in parallel. In a series circuit, the components form a single loop, so if one component fails, the whole circuit stops. In a parallel circuit, each component has its own path, so if one fails, the others keep working. Holiday lights wired in series go fully dark when one bulb burns out, while parallel-wired lights lose only the failed bulb. Question: According to the passage, what happens to a series circuit when one component fails?
- The supply voltage quietly doubles
- The wiring shifts parallel quickly
- The continuous chain goes lifeless
- The faulty bulb alone extinguishes
Correct answer: The continuous chain goes lifeless
Correct: "The continuous chain goes lifeless". The passage says a single-loop arrangement carries everything on one path, so one failure ends the flow for all of it, and the string of lamps going fully dark is its example. "The supply voltage quietly doubles" invents a voltage effect the passage never mentions. "The wiring shifts parallel quickly" has the arrangement rearrange itself, which the passage never suggests. "The faulty bulb alone extinguishes" describes the other arrangement, where each part sits on its own path.
- Read the passage, then answer. Passage: A good first step in answering a question about a long passage is to read the question before rereading the passage. Knowing what you are looking for lets you scan for the relevant section instead of rereading everything. Once you locate the section that addresses the question, read it carefully and ignore the parts of the passage that do not relate to the question. Question: According to the passage, what should you do after reading the question?
- Search quickly toward the pertinent paragraph
- Glance initially toward the listed selections
- Reach instantly toward the remembered details
- Labor tirelessly toward the memorized passage
Correct answer: Search quickly toward the pertinent paragraph
Correct: "Search quickly toward the pertinent paragraph". The passage says that once you know what you are after you can sweep the text for the part that deals with it rather than rereading the lot. "Glance initially toward the listed selections" reverses the order the passage sets out, which begins with the question itself. "Reach instantly toward the remembered details" skips the text altogether, and the passage insists the text be consulted. "Labor tirelessly toward the memorized passage" is exactly what the passage says the tactic saves you from doing.
- Read the passage, then answer. Passage: An insulator is a material that resists the flow of electricity, while a conductor allows electricity to flow easily. Power lines use both: the metal wire is a conductor that carries the current, and the porcelain or glass discs that attach the wire to the tower are insulators that keep the current from flowing into the grounded tower. Without the insulators, current would leak away through the structure. Question: According to the passage, what is the role of the porcelain discs on a tower?
- They carry the current inside a copper cable
- They anchor the tower inside a concrete slab
- They block the current outside a steel tower
- They deliver the leaked current down a tower
Correct answer: They block the current outside a steel tower
"They block the current outside a steel tower" is what the passage describes: the porcelain discs are insulators that keep the current from flowing into the grounded tower. "They carry the current inside a copper cable" is the conductor's job, which the passage assigns to the metal wire. "They anchor the tower inside a concrete slab" is nowhere in the passage, which only has the discs attaching the wire. "They deliver the leaked current down a tower" is exactly the leakage the passage says the insulators prevent.
- Read the passage, then answer. Passage: A crew uses a tag-out system. When equipment is taken out of service, a tag is hung on its control, naming the worker, the date, and the reason. The rule is that only the worker who hung a tag may remove it. This prevents one worker from re-energizing equipment while another is still working on it elsewhere. If that worker is unavailable, a supervisor follows a separate written removal procedure. Question: According to the passage, who is normally allowed to remove a tag?
- The crew worker who checks the tag
- The worker who alone hangs the tag
- The spare worker who finds the tag
- The worker who holds the radio set
Correct answer: The worker who alone hangs the tag
"The worker who alone hangs the tag" matches the stated rule that only the worker who hung a tag may remove it. "The crew worker who checks the tag" and "The spare worker who finds the tag" both give the tag to someone who did not hang it, which the passage forbids. "The worker who holds the radio set" has no standing at all in the passage; the only other route named is a separate written procedure used when the tagging worker is unavailable.
- Read the passage, then answer. Passage: A storm-response plan divides the service area into zones, each with an assigned crew. During a major storm, crews stay within their zones to avoid two crews unknowingly working the same line. A central coordinator tracks which zones are restored and may temporarily reassign a crew only after confirming their original zone is clear. Question: Based on the passage, under what condition may a crew be moved to a different zone?
- Once the crew phones the central zone coordinator
- Once the storm leaves the blocked roadsides clear
- Once the coordinator confirms the home zone clear
- Once the coordinator marks the closest zone clear
Correct answer: Once the coordinator confirms the home zone clear
"Once the coordinator confirms the home zone clear" is the stated condition: the coordinator may reassign a crew only after confirming their original zone is clear. "Once the crew phones the central zone coordinator" makes the request the trigger, which the passage never allows. "Once the storm leaves the blocked roadsides clear" uses the weather, not the zone, as the test. "Once the coordinator marks the closest zone clear" checks the wrong zone; the crew's own zone is the one that must be clear.
- Read the passage, then answer. Passage: A digital multimeter measures voltage, current, and resistance, but only one at a time, depending on the setting of its dial. A common error is leaving the dial on the current setting and then touching the probes across a voltage source, which can blow the meter's internal fuse. The first habit a trainee learns is to confirm the dial setting matches the measurement before touching the probes to anything. Question: According to the passage, what error can blow the meter's internal fuse?
- Turning the voltage dial while testing current flows
- Wiping the meter dial while testing voltage windings
- Reading the voltage dial twice while logging current
- Using the current dial while measuring mains voltage
Correct answer: Using the current dial while measuring mains voltage
"Using the current dial while measuring mains voltage" is the named error: touching the probes across a voltage source with the dial left on the current setting can blow the internal fuse. "Turning the voltage dial while testing current flows" reverses that pairing and is not the fault the passage describes. "Wiping the meter dial while testing voltage windings" and "Reading the voltage dial twice while logging current" are never linked to a blown fuse anywhere in the passage.
- Read the passage, then answer. Passage: A pole-top rescue is the procedure for bringing down an injured worker from a utility pole. Speed matters, but the rescuer must first ensure the lines are de-energized or the injured worker is clear of contact, because touching an energized victim would injure the rescuer too. Only then does the rescuer climb and lower the worker using a hand line. Question: What can you infer about why the rescuer checks for energized lines before climbing?
- Raising the energized victim exhausts the rescuer too
- Climbing the energized pole overtaxes the rescuer too
- Preparing the hand line safeguards the injured victim
- Handling the energized victim injures the rescuer too
Correct answer: Handling the energized victim injures the rescuer too
"Handling the energized victim injures the rescuer too" is the reason the passage gives for checking the lines before climbing. "Raising the energized victim exhausts the rescuer too" and "Climbing the energized pole overtaxes the rescuer too" both turn the check into a question of fatigue, which the passage never raises. "Preparing the hand line safeguards the injured victim" makes it about equipment, while the passage ties the check only to the danger of touching someone still in contact.
- Read the passage, then answer. Passage: A maintenance schedule lists tasks by interval. Daily tasks are quick visual checks. Monthly tasks include testing backup batteries. Annual tasks include a full inspection that requires taking equipment offline. The rule is that a longer-interval task also satisfies the shorter checks done that same day, so an annual inspection counts as that day's daily check, but a daily check never counts as a monthly or annual task. Question: According to the passage, does performing the annual inspection satisfy that day's daily check?
- Yes, a long-interval job covers the daily checks fully
- Yes, a month-end interval clears the yearly checks too
- Yes, a daily-interval check beats the yearly audit too
- Yes, a separate log-book page records the daily checks
Correct answer: Yes, a long-interval job covers the daily checks fully
"Yes, a long-interval job covers the daily checks fully" restates the rule, and the passage offers the annual inspection counting as that day's daily check as its own example. "Yes, a month-end interval clears the yearly checks too" runs the rule upward from monthly to annual, which the passage denies. "Yes, a daily-interval check beats the yearly audit too" reverses the rule outright, and the passage says a daily check never counts as a monthly or annual task. "Yes, a separate log-book page records the daily checks" describes paperwork the passage never mentions.
- Read the passage, then answer. Passage: Static electricity can build up on a person or a tool and discharge as a spark. In ordinary settings a spark is harmless, but near flammable vapors it can ignite a fire. For this reason, fuel-handling areas require workers to touch a grounding point before beginning work, which drains any built-up charge safely to the earth. Question: According to the passage, why must workers touch a grounding point in fuel-handling areas?
- To verify the static rods safely beneath the ground
- To direct the fueling crews toward the static risks
- To bleed the stored static safely toward the ground
- To flood the ground safely toward the storage drums
Correct answer: To bleed the stored static safely toward the ground
"To bleed the stored static safely toward the ground" is the stated purpose: touching the grounding point drains any built-up charge safely to the earth so a spark cannot ignite vapors. "To verify the static rods safely beneath the ground" and "To flood the ground safely toward the storage drums" make the ground itself the object of the work, which the passage never requires. "To direct the fueling crews toward the static risks" turns the habit into a warning signal, and the passage gives it no such role.
- Read the passage, then answer. Passage: A crew works under a two-person rule when entering an energized substation: no one enters alone. The reason is that if one worker is injured or shocked, the second can summon help and, if trained, begin rescue. The two workers must remain within sight or voice contact at all times. If the pair becomes separated, both must stop work until contact is re-established. Question: Based on the passage, what must the pair do if they become separated?
- Escape the site until voice contact returns
- Pause the shift until voice contact resumes
- Continue the work until voice contact stops
- Radio the station until strong winds soften
Correct answer: Pause the shift until voice contact resumes
"Pause the shift until voice contact resumes" is the stated requirement: if the pair becomes separated, both must stop work until contact is re-established. "Continue the work until voice contact stops" has them working on while separated, the very state the two-person rule exists to prevent. "Escape the site until voice contact returns" sends them out of the substation, which the passage never asks for. "Radio the station until strong winds soften" invents a weather condition the passage does not mention.
- Read the passage, then answer. Passage: Resistance in a wire produces heat whenever current flows through it. This is useful in a toaster, where the heat is the point, but wasteful in a power line, where the heat is lost energy. To reduce this loss over long distances, utilities transmit power at high voltage and low current, because the heat produced depends on the current, not the voltage. Question: According to the passage, why does high-voltage transmission reduce heat loss?
- Loss vanishes at high voltage because the current ends
- Loss shrinks at high voltage because the current drops
- Loss decreases at high voltage because the metal cools
- Loss surfaces at low voltage because the current heats
Correct answer: Loss shrinks at high voltage because the current drops
"Loss shrinks at high voltage because the current drops" follows the passage, which says utilities transmit at high voltage and low current because the heat produced depends on the current, not the voltage. "Loss vanishes at high voltage because the current ends" overstates it; the current falls but never stops. "Loss decreases at high voltage because the metal cools" credits a cooling effect the passage never mentions. "Loss surfaces at low voltage because the current heats" makes low voltage the only place loss occurs, which the passage does not say.
- Read the passage, then answer. Passage: When two answer choices both seem supported by a passage, the better choice is usually the one that is more directly and completely stated, not the one that requires extra assumptions. A choice that is true but only partly addresses the question is weaker than a choice that addresses the whole question. Reading every choice before deciding helps you compare them rather than settling for the first that sounds right. Question: According to the passage, how should you choose between two choices that both seem supported?
- Pick the one that reads shorter and simplest
- Pick the one that sounds right and plausible
- Pick the text that reads longest and densest
- Pick the one that reads clearest and fullest
Correct answer: Pick the one that reads clearest and fullest
"Pick the one that reads clearest and fullest" follows the advice to take the choice that is more directly and completely stated rather than the one needing extra assumptions. "Pick the one that sounds right and plausible" is the settling-for-the-first habit the passage warns against. "Pick the one that reads shorter and simplest" and "Pick the text that reads longest and densest" both make length or wording the test, and the passage names neither as a deciding factor.
- A crew completed 45 service calls last month and 63 service calls this month. What was the percentage increase in service calls from last month to this month?
Correct answer: 40%
The rise is 40%. Subtract to find the change (63 minus 45 is 18), then divide that change by the ORIGINAL value and multiply by 100: 18 divided by 45 is 0.40. Dividing by the new value of 63 instead gives just over 28%. Dividing by the midpoint of 54 gives 33%. Reporting the raw change of 18 calls as a percentage gives 18%.
- Solve for x in the equation 3x minus 5 equals 16.
Correct answer: x = 7
The answer is x = 7. Add 5 to both sides to isolate the variable term, giving 3x equals 21, then divide both sides by the coefficient 3. Stopping at 3x equals 21 and skipping that division gives x = 21. Subtracting 5 instead of adding it leaves x = 11. Reading the number on the right of the equals sign straight off the page gives x = 16.
- Concrete mix is prepared using cement and sand in a ratio of 2 to 5. If a batch contains 35 total parts of these two materials, how many parts are cement?
- 10 of 35
- 14 of 35
- 21 of 35
- 25 of 35
Correct answer: 10 of 35
Cement is 10 of 35 parts. A 2 to 5 ratio makes 7 parts in all, so cement is two-sevenths of the batch: two-sevenths of 35 is 10. Treating the 2 as two-fifths of the batch gives 14 of 35, and its partner three-fifths gives 21 of 35. Giving cement the larger five-sevenths share instead gives 25 of 35.
- A storage floor measures 144 square feet. Since there are 9 square feet in 1 square yard, how many square yards is the floor?
Correct answer: 16
The floor is 16 square yards. A square yard is 3 feet by 3 feet, so it holds 9 square feet; divide 144 by 9. Dividing by the linear factor 3 instead of the area factor 9 gives 48. Treating a square yard as 2 feet by 2 feet and dividing by 4 gives 36. Adding 3 plus 3 to get a divisor of 6 gives 24.
- A warehouse holds 240 pallets. If 15 percent of the pallets are scheduled to ship today, how many pallets will ship today?
Correct answer: 36
36 pallets ship. Convert the percent to a decimal and multiply: 0.15 times 240 is 36. Using 5 percent gives 12, using 10 percent gives 24, and using 20 percent gives 48 — each is the right method applied to the wrong percentage.
- The sum of three consecutive whole numbers is 51. What is the smallest of the three numbers?
Correct answer: n = 16
The smallest number is n = 16. Call the three numbers n, n plus 1 and n plus 2; their sum is 3n plus 3, which equals 51, so 3n is 48. The three numbers are 16, 17 and 18, so n = 17 names the middle one and n = 18 names the largest. Writing the offsets as plus 2 and plus 4 gives 3n plus 6 equals 51 and the wrong value n = 15.
- A generator uses 4 gallons of fuel to run for 7 hours at a steady load. At the same rate, how many gallons are needed to run for 10 hours?
Correct answer: 5.7
About 5.7 gallons are needed. Set up 4 gallons over 7 hours equals x gallons over 10 hours and cross-multiply: 4 times 10 is 40, and 40 divided by 7 is roughly 5.7. Inverting the proportion — 4 times 7 divided by 10 — gives 2.8. Dividing 10 by 7 and stopping there gives 1.4. Copying the fuel figure from the question unchanged gives 4.0.
- A tool that normally costs 80 dollars is discounted by 25 percent. What is the sale price?
Correct answer: $60
The sale price is 60.A25percentdiscountmeanspaying75percentoftheoriginal,somultiply0.75by80.Taking20percentoffinsteadof25percentgives64. Mistaking the 75 percent figure for a dollar amount gives 75.Leavingthelistpriceuntouchedgives80.
- A spool contains 64 feet of cable. If three-eighths of the cable is used on a job, how many feet of cable are used?
Correct answer: 24
24 feet are used. Divide the spool by the denominator and multiply by the numerator: 64 divided by 8 is 8, and 8 times 3 is 24. Using a numerator of 2 gives 16. Rounding three-eighths up to one half gives 32. The figure 40 is the five-eighths left on the spool, not the amount used.
- An inspector recorded daily readings of 82, 76, 91, 78, and 88. What is the average (mean) of these five readings?
Correct answer: 83
The mean is 83. Add the five readings to get 415, then divide by the count of 5. Sorting the readings and taking the middle one gives the median 82, which is not what was asked. Rounding each reading to the nearest ten before averaging gives 84. Averaging only the first and last readings listed, 82 and 88, gives 85.
- A part weighs 2.5 pounds. Since 1 pound equals 16 ounces, what is the weight of the part in ounces?
Correct answer: 40
The part weighs 40 ounces. Multiply by 16 because each pound holds 16 ounces: 2.5 times 16 is 40. Dropping the half pound and using 2 gives 32. Rounding the 2.5 up to 3 gives 48. Using 8 ounces to the pound gives 20.
- After a 20 percent markup, a fixture sells for 96 dollars. What was the price before the markup?
Correct answer: $80
The original price was 80.A20percentmarkupmakesthesellingprice120percentoftheoriginal,sodivide96by1.20.Taking25percentoffthesellingpriceinsteadgives72. Knocking off a flat eight dollars reverses no percentage at all and gives 88.Leavingthesellingpriceastheanswergives96.
- A crew of 48 workers is split into men and women in a ratio of 5 to 3. How many more men than women are on the crew?
Correct answer: 12
There are 12 more men than women. A 5 to 3 ratio makes 8 parts, so each part is 48 divided by 8, which is 6; men hold 5 parts and women 3 parts, and the gap of 2 parts is 12 workers. The figure 30 is the number of men, not the difference. Splitting the crew evenly in half gives 24, and 48 is the whole crew.
- Solve for x in the equation 3x plus 7 equals x plus 19.
Correct answer: 6
The value of x is 6. Subtract x from both sides to get 2x plus 7 equals 19, subtract 7 to get 2x equals 12, then divide by 2. Reporting the leftover coefficient of 2x gives 2. Moving the x across with the wrong sign gives 4x plus 7 equals 19 and the wrong answer 3. Dropping the x on the right altogether gives 3x plus 7 equals 19 and the wrong answer 4.
- A truck travels 12 miles in 15 minutes at a constant speed. What is its speed in miles per hour?
Correct answer: 48 mph
The speed is 48 mph. Fifteen minutes is one quarter of an hour, so multiply the distance by 4: 12 times 4 is 48. Multiplying by 2 instead gives 24 mph and multiplying by 3 gives 36 mph. Assuming the truck covers a mile a minute gives 60 mph, which ignores the 12 miles given.
- A task is logged as taking 3 minutes and 45 seconds. Since 1 minute equals 60 seconds, what is the total time in seconds?
Correct answer: 225
The total is 225 seconds. Multiply 3 by 60 to get 180 seconds, then add the remaining 45. Stopping at the minutes and ignoring the 45 seconds gives 180. Multiplying 3 by 45 instead of 60 gives 135. Adding the 45 seconds a second time gives 270.
- A shipment has 400 components. Fifty percent pass an initial check, and 20 percent of those that pass are then selected for further testing. How many components are selected for further testing?
- 40 of 400
- 20 of 400
- 60 of 400
- 80 of 400
Correct answer: 40 of 400
40 of 400 components go to further testing. Fifty percent of 400 leaves 200 that pass, and 20 percent of that 200 is 40. Applying the 20 percent to the full shipment instead gives 80 of 400. Using 10 percent of the 200 that passed gives 20 of 400, and using 30 percent of them gives 60 of 400.
- A panel measures 30,000 square centimeters. Since 1 square meter equals 10,000 square centimeters, what is the area in square meters?
Correct answer: 3
The area is 3 square meters. A square meter is 100 cm by 100 cm, so it holds 10,000 square centimeters; divide 30,000 by 10,000 to get 3. Dividing by the linear factor 100 instead of the area factor 10,000 gives 300. Applying the 10,000 conversion a second time gives 0.0003. Reporting the figure from the question without converting at all gives 30,000.
- A foreman is three times as old as his apprentice. Together their ages total 40 years. How old is the apprentice?
Correct answer: 10
The apprentice is 10 years old. Let the apprentice be x and the foreman 3x; their sum is 4x, which equals 40, so x is 10. The figure 30 is the foreman's age, not the apprentice's. Splitting the 40 years evenly between the two gives 20, which ignores the 3-to-1 relationship. The figure 40 is the combined total.
- A recipe for mixing coolant calls for 4 cups of concentrate to serve 6 machines. Using the same ratio, how many cups are needed for 15 machines?
Correct answer: 10
10 cups are needed. Set up 4 cups over 6 machines equals x cups over 15 machines and cross-multiply: 4 times 15 is 60, and 60 divided by 6 is 10. Scaling the 4 cups by 3 instead of by 2.5 gives 12. Copying the machine count straight into the answer gives 15. Tripling the 6 machines rather than scaling the cups gives 18.
- A worker uses three-quarters of a roll of tape on one job and one-third of a roll on another. How much MORE tape was used on the first job than the second, as a fraction of a roll?
- Three-quarters
- Three-sevenths
- Two-sevenths
- Five-twelfths
Correct answer: Five-twelfths
Five-twelfths more tape was used. Put both fractions over a common denominator of 12: three-quarters becomes nine-twelfths, one-third becomes four-twelfths, and nine minus four leaves five. Subtracting the numerators and adding the denominators gives Two-sevenths. Keeping the first numerator over that same added denominator gives Three-sevenths. Reporting the first fraction instead of the difference gives Three-quarters.
- A worker earns 18 dollars per hour and receives an 8 percent raise. What is the new hourly rate?
Correct answer: $19.44
The new rate is 19.44.An8percentraisemultipliesthewageby1.08,so18times1.08is19.44.Addingaflat8centsgives18.08. Slipping the decimal and adding 80 cents gives 18.80.Using12percentinsteadof8percentgives20.16.
- On a map, 1 inch represents 25 actual miles. Two locations are 7 inches apart on the map. How many actual miles separate them?
Correct answer: 175
The locations are 175 miles apart. Each inch stands for 25 miles, so multiply the map distance by the scale: 7 times 25 is 175. Miscounting the map distance as 5 inches gives 125, as 6 inches gives 150, and as 8 inches gives 200.
- A supply order includes 12 connectors at 3.50 dollars each and 8 brackets at 2.25 dollars each. What is the total cost of the order?
Correct answer: $60
The order costs 60.Multiplyeachlineandadd:12times3.50is42dollars,8times2.25is18dollars,and42plus18is60.Countingonlytheconnectorsgives42 and counting only the brackets gives 18.Addingthe18dollarsofbracketsasecondtimegives78.
- Solve for x in the equation 4x plus 4 equals 40.
Correct answer: x = 9
The answer is x = 9. Subtract 4 from both sides to get 4x equals 36, then divide by 4. Dividing 40 by 4 before removing the constant gives x = 10. Adding the 4 instead of subtracting it gives 44 divided by 4, so x = 11. Adding the 4 twice gives 48 divided by 4, so x = 12.
- A budget of 500 dollars is split so that 30 percent goes to materials and 20 percent goes to permits. How many dollars remain after these two expenses?
Correct answer: 250
250 dollars remain. Materials take 30 percent, which is 150, and permits take 20 percent, which is 100; 150 plus 100 is 250 spent, leaving 250. Subtracting only the materials leaves 350 and subtracting only the permits leaves 400. Mis-adding the two shares as 40 percent of the budget leaves 300.
- A parts bin holds boxes and crates in a ratio of 18 to 24. What is this ratio reduced to its simplest form?
Correct answer: 3 to 4
The simplest form is 3 to 4. Divide both terms by their greatest common factor of 6: 18 divided by 6 is 3 and 24 divided by 6 is 4. Dividing by 3 rather than 6 leaves 6 to 8, which is not yet in lowest terms. Writing the terms in the wrong order gives 4 to 3. Dividing 18 by 9 and 24 by 8 mixes two different factors and gives 2 to 3.
- An item priced at 45 dollars is offered at 20 percent off, and a 5 dollar coupon is applied after the discount. What is the final price?
Correct answer: $31
The final price is 31.Takethepercentageofffirst:0.80times45is36dollars,thensubtractthe5dollarcoupon.Stoppingafterthediscountandforgettingthecoupongives36. Applying only the coupon gives 40.Leavingthelistpriceuntouchedgives45.
- A tank is three-fifths full and holds 144 gallons at that level. What is the tank's total capacity when completely full?
Correct answer: 240
The tank holds 240 gallons. If three-fifths of the capacity is 144 gallons, one fifth is 144 divided by 3, which is 48, and five fifths is 48 times 5. Adding just one more fifth to the 144 gives 192. Doubling the 144 gives 288. Reporting the level in the tank rather than its capacity gives 144.
