Your FREE OAR (Officer Aptitude Rating) Practice Test 2026 – 250+ Q&A
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OAR Practice Questions
If 3x+7=22, what is the value of x?
15
3
7
5
Correct answer: 5
Subtract 7 from both sides to get 3x=15, then divide by 3 to get x=5.
A car travels 240 miles in 4 hours. What is its average speed in miles per hour?
50
60
70
40
Correct answer: 60
Average speed equals distance divided by time: 240/4=60 mph.
What is 35% of 80?
32
24
30
28
Correct answer: 28
Multiply 0.35 by 80 to get 28.
If a rectangle has a length of 12 and a width of 5, what is its area?
60
17
120
34
Correct answer: 60
Area of a rectangle is length times width: 12×5=60.
Solve for y: 2y−9=11.
1
5
20
10
Correct answer: 10
Add 9 to both sides to get 2y=20, then divide by 2 to get y=10.
What is the value of 4 squared plus 3 cubed?
55
43
31
25
Correct answer: 43
4 squared is 16 and 3 cubed is 27; 16 + 27 = 43.
A shirt costs $40 and is discounted by 25%. What is the sale price?
$35
$15
$10
$30
Correct answer: $30
A 25% discount removes $10 from $40, leaving a sale price of $30.
If 5 pencils cost $2.00, how much do 12 pencils cost at the same rate?
$3.60
$4.80
$5.00
$4.20
Correct answer: $4.80
Each pencil costs $0.40, so 12 pencils cost 12 x 0.40 = $4.80.
What is the least common multiple of 6 and 8?
12
16
24
48
Correct answer: 24
The smallest number divisible by both 6 and 8 is 24.
Simplify the fraction 18/24.
5/6
4/5
3/4
2/3
Correct answer: 3/4
Dividing numerator and denominator by 6 gives 3/4.
If x=4, what is the value of 2x2−3x+1?
17
21
25
29
Correct answer: 21
2(16)−3(4)+1=32−12+1=21.
A triangle has a base of 10 and a height of 6. What is its area?
16
60
30
80
Correct answer: 30
Area of a triangle is one-half base times height: 0.5×10×6=30.
What is 7/8 expressed as a decimal?
0.925
0.785
0.825
0.875
Correct answer: 0.875
Dividing 7 by 8 gives 0.875.
If the ratio of boys to girls in a class is 3:5 and there are 15 boys, how many girls are there?
20
30
25
9
Correct answer: 25
Each ratio unit equals 5 students (15/3), so girls =5×5=25.
What is the sum of the interior angles of a triangle?
360 degrees
270 degrees
90 degrees
180 degrees
Correct answer: 180 degrees
The interior angles of any triangle always sum to 180 degrees.
Solve for x: 4x=9.
2.25
36
13
27
Correct answer: 36
Multiply both sides by 4 to get x=36.
A number increased by 15 equals 42. What is the number?
17
37
27
57
Correct answer: 27
Subtract 15 from 42 to get 27.
What is 12 percent of 250?
36
42
24
30
Correct answer: 30
Multiply 0.12 by 250 to get 30.
If a square has a perimeter of 36, what is the length of one side?
9
18
12
6
Correct answer: 9
A square has four equal sides, so each side is 36/4=9.
Evaluate: (8+4)/2+5.
13
9
15
11
Correct answer: 11
Following order of operations: (12)/2+5=6+5=11.
What is the value of 0.6 multiplied by 0.5?
0.03
0.30
1.10
0.11
Correct answer: 0.30
Multiplying 0.6 by 0.5 gives 0.30.
If 4 workers can finish a job in 6 days, how many days will it take 8 workers at the same rate?
12 days
4 days
2 days
3 days
Correct answer: 3 days
Doubling the workers halves the time, so 6/2=3 days.
What is 144?
12
14
11
13
Correct answer: 12
12 multiplied by 12 equals 144, so the square root is 12.
A recipe requires 2 cups of flour for 12 cookies. How much flour is needed for 30 cookies?
5 cups
4 cups
6 cups
7 cups
Correct answer: 5 cups
Each cookie needs 61 cup; 30 cookies need 30/6=5 cups.
Solve the inequality: 3x>18.
x>6
x>9
x>3
x>15
Correct answer: x>6
Divide both sides by 3 to get x>6.
What is the average of 14, 18, and 22?
22
16
20
18
Correct answer: 18
The sum is 54; dividing by 3 gives an average of 18.
If a circle has a radius of 7, what is its circumference? (Use π=3.14)
21.98
43.96
153.86
307.72
Correct answer: 43.96
Circumference is 2×π×r=2×3.14×7=43.96.
What is 53 plus 41?
207
2017
2013
94
Correct answer: 2017
Using a common denominator of 20: 2012+205=2017.
A train leaves at 2:15 PM and arrives at 5:45 PM. How long is the trip?
4 hours
3 hours 30 minutes
3 hours
2 hours 30 minutes
Correct answer: 3 hours 30 minutes
From 2:15 PM to 5:45 PM is 3 hours and 30 minutes.
If 2(x+3)=16, what is x?
5
3
11
7
Correct answer: 5
Divide by 2 to get x+3=8, then subtract 3 to get x=5.
What is 144 divided by 12, then multiplied by 3?
36
48
24
12
Correct answer: 36
144/12=12, and 12×3=36.
A jacket originally priced at $60 is now $48. What is the percent decrease?
15%
20%
25%
12%
Correct answer: 20%
The decrease is $12, and 12/60=0.20, or 20%.
What is the value of 5! (5 factorial)?
240
20
120
60
Correct answer: 120
5!=5×4×3×2×1=120.
If a map scale is 1 inch = 50 miles, how many miles is 3.5 inches?
150 miles
100 miles
200 miles
175 miles
Correct answer: 175 miles
Multiply 3.5 by 50 to get 175 miles.
Solve for x: x2=49.
9
7
6
8
Correct answer: 7
The positive value of 49 is 7.
What is the next number in the sequence 2, 6, 18, 54, ...?
162
270
108
216
Correct answer: 162
Each term is multiplied by 3, so 54×3=162.
If 30% of a number is 45, what is the number?
120
150
135
90
Correct answer: 150
Divide 45 by 0.30 to get 150.
A box contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?
123
41
31
125
Correct answer: 41
There are 12 marbles total and 3 are blue, so the probability is 123=41.
What is the value of 9+6×2−4?
11
22
26
17
Correct answer: 17
Multiplication first: 6×2=12, then 9+12−4=17.
If a rectangular tank measures 2 ft by 3 ft by 4 ft, what is its volume?
12 cubic ft
9 cubic ft
24 cubic ft
48 cubic ft
Correct answer: 24 cubic ft
Volume equals length times width times height: 2×3×4=24 cubic feet.
The lighthouse keeper, Elena, had tended the coastal beacon for nearly thirty years. She knew the rhythm of the tides better than the calendar on her wall and could predict a storm from the color of the morning sky. Though the work was solitary, she never felt alone; the steady pulse of the light and the distant horns of passing ships were companions enough. When the new automated system arrived to replace her, the harbor authority offered her a comfortable retirement in town. Elena declined, choosing instead to remain in a small cottage within sight of the tower she had faithfully kept.
Why does Elena decline the retirement offer in town?
She cannot afford to live in town
She distrusts the new automated system
She wants to stay near the lighthouse she cared for
She plans to train a replacement keeper
Correct answer: She wants to stay near the lighthouse she cared for
The passage states she chose a cottage within sight of the tower she had faithfully kept, showing her attachment to the lighthouse.
Coral reefs are among the most biologically diverse ecosystems on Earth, supporting roughly a quarter of all marine species despite covering less than one percent of the ocean floor. These reefs are built by tiny animals called polyps, which secrete calcium carbonate to form hard skeletons over thousands of years. Rising ocean temperatures, however, cause polyps to expel the algae that give them both color and nourishment, a process known as bleaching. If temperatures remain elevated for too long, the weakened coral can die, threatening the countless organisms that depend on the reef for shelter and food.
According to the passage, what causes coral bleaching?
Elevated ocean temperatures
Overfishing of reef species
A shortage of calcium carbonate
Pollution from coastal cities
Correct answer: Elevated ocean temperatures
The passage states that rising ocean temperatures cause polyps to expel their algae, which is described as bleaching.
When the city council proposed converting an abandoned rail line into a public greenway, reactions were mixed. Supporters argued that the trail would provide safe space for walking and cycling while preserving a piece of local history. Opponents worried about the cost of maintenance and the potential for increased foot traffic near residential yards. After months of debate and several public hearings, the council approved a scaled-down version of the plan, funding the first mile while postponing decisions about the remaining route.
What was the outcome of the council's debate?
A reduced plan funding the first mile was approved
The rail line was sold to private developers
The proposal was rejected entirely
The full greenway was approved immediately
Correct answer: A reduced plan funding the first mile was approved
The passage states the council approved a scaled-down version, funding the first mile and postponing the rest.
Marcus had always assumed that learning a second language required living abroad. After being assigned to an overseas post, he discovered that immersion alone was not enough; without deliberate study, he picked up only scattered phrases. It was not until he committed to daily practice with a tutor, paired with the constant exposure of his surroundings, that real progress began. He came to believe that fluency demanded both consistent effort and an environment rich with opportunities to use the language.
What conclusion does Marcus reach about learning a language?
Fluency requires both deliberate study and immersion
Living abroad alone guarantees fluency
Tutors are unnecessary for fluent speakers
Scattered phrases are enough for daily life
Correct answer: Fluency requires both deliberate study and immersion
Marcus concludes that fluency demanded both consistent effort and an environment rich with opportunities to use the language.
The invention of the mechanical clock transformed the way people organized their lives. Before its widespread use, communities measured time loosely by the position of the sun or the ringing of church bells. The clock introduced a precise, shared standard that allowed activities such as markets, schooling, and labor to be coordinated across an entire town. Some historians argue that this newfound precision laid the groundwork for the disciplined schedules that would later define industrial society.
What does the passage suggest the mechanical clock made possible?
The decline of church influence
The end of seasonal farming
Coordinated scheduling across a community
An increase in the length of the workday
Correct answer: Coordinated scheduling across a community
The passage states the clock provided a shared standard that allowed activities to be coordinated across an entire town.
Although honey never truly spoils, its appearance can change dramatically over time. Crystallization, in which the sugars form solid granules, often leads people to believe the honey has gone bad. In reality, this is a natural process that can be reversed by gently warming the jar. The low moisture content and natural acidity of honey create an environment in which bacteria cannot survive, which is why archaeologists have discovered edible honey in ancient tombs.
Why does honey resist spoiling, according to the passage?
It is regularly warmed to kill bacteria
Crystallization destroys harmful microbes
Its low moisture and acidity prevent bacterial growth
It is sealed in airtight containers
Correct answer: Its low moisture and acidity prevent bacterial growth
The passage explains that honey's low moisture content and natural acidity create an environment in which bacteria cannot survive.
The factory had operated on the same production schedule for decades, but a new supervisor noticed that defects spiked every afternoon. Rather than blaming the workers, she studied the data and found that fatigue and a poorly timed lunch break were the likely culprits. By rearranging shifts and adding a short midafternoon rest, she reduced errors significantly without lowering output. Her approach demonstrated that examining a problem carefully often reveals solutions that punishment cannot.
What is the main point of the passage?
Older schedules are always more efficient
Careful analysis can reveal better solutions than blame
Workers should be disciplined for defects
Factories should eliminate lunch breaks
Correct answer: Careful analysis can reveal better solutions than blame
The passage emphasizes that examining a problem carefully often reveals solutions that punishment cannot.
Deserts are often imagined as lifeless expanses of sand, but they teem with organisms adapted to extreme conditions. Many desert animals are nocturnal, avoiding the punishing daytime heat by remaining in burrows until dusk. Plants such as cacti store water in thick stems and reduce moisture loss with waxy coatings and spines instead of leaves. These adaptations allow life to flourish where rainfall may not fall for months at a time.
Which statement best reflects the passage's view of deserts?
Deserts receive frequent rainfall
Deserts are barren and lifeless
Deserts contain no plant life
Deserts support life through specialized adaptations
Correct answer: Deserts support life through specialized adaptations
The passage describes adaptations of animals and plants that allow life to flourish despite extreme conditions.
When Priya volunteered to lead the school recycling drive, she expected enthusiasm from her classmates. Instead, participation was low until she changed her strategy. Rather than simply asking students to bring in materials, she organized a friendly competition between homerooms, complete with a weekly tally posted in the hallway. Almost overnight, collection rates soared, and what had once felt like a chore became a point of pride.
What strategy increased participation in the recycling drive?
Reducing the amount of material needed
Requiring participation as homework
Creating a competition between homerooms
Offering cash prizes to students
Correct answer: Creating a competition between homerooms
Priya organized a friendly competition between homerooms with a posted tally, which caused collection rates to soar.
The human brain consumes a disproportionate share of the body's energy. Though it accounts for only about two percent of body weight, it uses roughly twenty percent of the energy a person burns at rest. This demand reflects the constant electrical activity of billions of neurons, which never fully shut down even during sleep. Researchers continue to study how the brain manages such high energy needs while maintaining the delicate balance required for thought and memory.
What does the passage emphasize about the brain?
It shuts down completely during sleep
It accounts for twenty percent of body weight
It uses energy far out of proportion to its size
It requires no energy at rest
Correct answer: It uses energy far out of proportion to its size
The passage notes the brain is only about two percent of body weight but uses roughly twenty percent of resting energy.
In the early days of aviation, pilots navigated largely by sight, following rivers, roads, and rail lines below them. This method, known as pilotage, worked well in clear weather but failed at night or in heavy clouds. The development of radio beacons and, later, instrument flying allowed aircraft to travel safely regardless of visibility. These advances expanded air travel from a fair-weather novelty into a dependable form of transportation.
Why was pilotage an unreliable navigation method?
It only worked over the ocean
It required expensive equipment
It was banned by aviation authorities
It failed in poor visibility conditions
Correct answer: It failed in poor visibility conditions
The passage states pilotage worked in clear weather but failed at night or in heavy clouds.
The committee had gathered to decide the fate of the old town theater, a building that had stood empty for years. Some members favored demolition, citing safety hazards and the cost of repairs. Others insisted the theater was a cultural landmark worth saving. A local architect proposed a compromise: restore the historic facade while modernizing the interior for community events. The plan won enough support to move forward, preserving the building's character while giving it a practical new purpose.
What did the architect's proposal accomplish?
It left the building empty for further study
It preserved the facade while modernizing the interior
It led to the theater's demolition
It converted the theater into office space
Correct answer: It preserved the facade while modernizing the interior
The architect proposed restoring the historic facade while modernizing the interior, and this compromise moved forward.
Sleep is not a single uniform state but a cycle of distinct stages. During deep sleep, the body repairs tissue and strengthens the immune system, while during the dreaming stage the brain consolidates memories from the day. Disrupting these cycles, even without reducing total sleep time, can leave a person feeling unrested. This is why experts emphasize the quality of sleep, not merely its duration.
What does the passage suggest about restful sleep?
Only total sleep time matters
Sleep quality matters, not just duration
Dreaming prevents tissue repair
Deep sleep is unnecessary for health
Correct answer: Sleep quality matters, not just duration
The passage concludes that experts emphasize the quality of sleep, not merely its duration.
The startup had grown quickly, but its rapid expansion created confusion about who was responsible for what. Decisions stalled as employees waited for someone else to take charge. Recognizing the problem, the founder introduced clear roles and a simple chain of approval. Within weeks, projects that had once languished began moving forward, proving that even a small organization benefits from defined structure.
What problem did the startup face before the founder acted?
A lack of funding
Too few employees to handle work
Excessive bureaucracy slowing approvals
Unclear responsibilities that stalled decisions
Correct answer: Unclear responsibilities that stalled decisions
The passage describes confusion about responsibilities, causing decisions to stall as employees waited for others.
Bioluminescence, the production of light by living organisms, occurs in creatures ranging from fireflies to deep-sea fish. In the ocean depths where sunlight never reaches, many animals generate their own light to attract prey, find mates, or confuse predators. The light is produced by a chemical reaction involving a molecule called luciferin and an enzyme that triggers it. Unlike a household bulb, this glow generates almost no heat, making it remarkably efficient.
According to the passage, why is bioluminescence considered efficient?
It generates almost no heat
It requires no chemical reaction
It lasts for an animal's entire life
It produces a very bright light
Correct answer: It generates almost no heat
The passage notes that unlike a household bulb, the glow generates almost no heat, making it remarkably efficient.
The young coach inherited a team that had lost every game the previous season. Rather than focusing immediately on winning, he emphasized fundamentals and effort, praising improvement over results. Players who had once dreaded practice began to show up early. By midseason the team had not become champions, but they had become competitive, and more importantly, they had learned to believe in their own progress.
What did the coach prioritize at first?
Reducing the number of practices
Recruiting new players
Fundamentals and effort over results
Winning championships quickly
Correct answer: Fundamentals and effort over results
The passage states the coach emphasized fundamentals and effort, praising improvement over results.
Glaciers act as natural reservoirs, storing water as ice during cold seasons and releasing it gradually as they melt. Many rivers that supply drinking water and irrigation to millions of people are fed by glacial meltwater. As global temperatures rise, however, glaciers are shrinking faster than they can be replenished by snowfall. Scientists warn that the loss of these frozen reservoirs could threaten water supplies for communities that have relied on them for generations.
Why are shrinking glaciers a concern, according to the passage?
They reduce snowfall in mountains
They increase the salinity of rivers
They threaten water supplies that depend on meltwater
They cause sea levels to fall
Correct answer: They threaten water supplies that depend on meltwater
The passage warns that losing glaciers could threaten water supplies for communities that rely on glacial meltwater.
The librarian noticed that the children's reading room was rarely used, despite a generous collection of books. After speaking with families, she learned that parents found the formal, quiet atmosphere intimidating for young children. In response, she introduced weekly story hours, soft seating, and a relaxed policy on noise. Attendance climbed steadily, and the room became one of the busiest parts of the library.
What caused the children's reading room to be underused at first?
A fee for using the room
Inconvenient operating hours
A lack of books for children
An intimidating, formal atmosphere
Correct answer: An intimidating, formal atmosphere
The passage states parents found the formal, quiet atmosphere intimidating for young children.
Volcanic eruptions can have effects that reach far beyond the immediate area. When a large eruption ejects ash and gases high into the atmosphere, these particles can spread around the globe and reflect sunlight back into space. The result is a temporary cooling of the planet's surface. Historical records describe years following major eruptions in which crops failed and summers turned unusually cold, illustrating how a single event can influence weather worldwide.
How can a large volcanic eruption affect global climate?
By increasing rainfall everywhere
By thickening the ozone layer
By warming the planet permanently
By temporarily cooling the surface through reflected sunlight
Correct answer: By temporarily cooling the surface through reflected sunlight
The passage explains that ash and gases reflect sunlight back into space, causing temporary cooling.
After the storm knocked out power to the neighborhood, the residents discovered an unexpected sense of community. With phones dimmed and televisions dark, families gathered on porches and shared meals cooked over grills. Neighbors who had barely spoken introduced themselves and checked on the elderly down the street. When the lights finally returned, several remarked that they almost missed the quiet days of connection.
What unexpected effect did the power outage have?
It increased reliance on technology
It damaged most of the homes
It brought neighbors closer together
It caused residents to move away
Correct answer: It brought neighbors closer together
The passage describes neighbors gathering, sharing meals, and connecting, revealing an unexpected sense of community.
The migration of monarch butterflies is one of nature's most remarkable journeys. Each year, these fragile insects travel thousands of miles between North America and central Mexico, a trip that spans multiple generations. No single butterfly completes the entire round journey; instead, offspring continue a route their parents began. How they navigate with such precision, returning to the same forests their ancestors left, remains a subject of scientific wonder.
What is unusual about the monarch migration described in the passage?
The journey spans multiple generations
The butterflies travel only at night
A single butterfly completes the round trip
The route changes every year
Correct answer: The journey spans multiple generations
The passage states that no single butterfly completes the entire journey; offspring continue a route their parents began.
The negotiation between the two companies had stalled for weeks over a single disputed clause. Each side feared that conceding would signal weakness. A mediator suggested that both parties step back and identify their underlying interests rather than their stated positions. Once they realized their goals were not truly in conflict, a creative solution emerged that satisfied both. The deal closed within days.
What allowed the negotiation to succeed?
Walking away from the deal entirely
Hiring a more aggressive negotiator
One company conceded the disputed clause
Identifying underlying interests instead of fixed positions
Correct answer: Identifying underlying interests instead of fixed positions
The mediator's suggestion to identify underlying interests revealed the goals were not in conflict, enabling a solution.
Antibiotics revolutionized medicine by making once-deadly infections treatable, but their overuse has created a serious problem. When bacteria are repeatedly exposed to these drugs, the few that survive pass on their resistance to future generations. Over time, strains emerge that no longer respond to common treatments. Doctors now urge careful, limited use of antibiotics to slow the spread of resistant bacteria.
What is the consequence of antibiotic overuse described in the passage?
The passage explains that overuse allows surviving bacteria to pass on resistance, producing resistant strains.
The new employee orientation had always been a dull affair of lengthy lectures and stacks of paperwork. A human resources manager decided to redesign it around hands-on activities and conversations with current staff. New hires now spent their first day touring departments, asking questions, and solving sample problems. Surveys showed that employees felt more prepared and connected, and turnover among first-year workers dropped noticeably.
What was the result of redesigning the orientation?
New hires received less training overall
First-year turnover dropped and employees felt more prepared
Paperwork increased significantly
The orientation became longer and duller
Correct answer: First-year turnover dropped and employees felt more prepared
The passage reports that employees felt more prepared and connected, and first-year turnover dropped noticeably.
Tides are caused primarily by the gravitational pull of the moon on the Earth's oceans. As the moon orbits, it draws the water toward it, creating a bulge that produces high tide, while areas at right angles experience low tide. The sun also influences tides, though to a lesser degree. When the sun and moon align, their combined pull produces especially high tides known as spring tides.
What primarily causes ocean tides, according to the passage?
The rotation of the Earth alone
Changes in ocean temperature
The gravitational pull of the moon
Wind patterns over the sea
Correct answer: The gravitational pull of the moon
The passage states tides are caused primarily by the gravitational pull of the moon on the oceans.
When the small bakery introduced an online ordering system, the owner worried it would feel impersonal. To her surprise, the change freed her staff from taking phone orders, giving them more time to chat with customers in the shop. Regulars appreciated skipping the line, and new customers discovered the bakery through its website. Far from replacing the personal touch, technology had made room for it.
What does the passage suggest about the online ordering system?
It eliminated the need for in-store staff
It reduced the number of customers
It freed staff to interact more with customers
It made the bakery feel impersonal
Correct answer: It freed staff to interact more with customers
The passage explains the system freed staff from phone orders, giving them more time to chat with customers.
The Renaissance was marked by a renewed interest in the art and learning of ancient Greece and Rome. Scholars rediscovered classical texts that had been preserved in monasteries and distant libraries, sparking fresh inquiry into science, philosophy, and the arts. Wealthy patrons funded artists and thinkers, and the invention of the printing press spread these ideas across Europe with unprecedented speed. This convergence of curiosity, money, and technology transformed the continent.
Which factor helped spread Renaissance ideas rapidly across Europe?
A reduction in trade
The invention of the printing press
The loss of classical texts
The decline of monasteries
Correct answer: The invention of the printing press
The passage credits the invention of the printing press with spreading ideas across Europe with unprecedented speed.
The expedition team had trained for months, but nothing prepared them for the thin mountain air above the base camp. Simple tasks left them breathless, and progress slowed to a crawl. Their guide insisted on a measured pace and frequent rest, explaining that the body needed time to adjust to the altitude. Those who heeded the advice eventually reached the summit, while one climber who pushed ahead too quickly was forced to turn back.
What lesson does the passage convey about high-altitude climbing?
The body needs time to adjust to altitude
Training eliminates all difficulty
Faster climbers always reach the summit
Rest is unnecessary at high elevations
Correct answer: The body needs time to adjust to altitude
The guide explained the body needed time to adjust, and those who paced themselves succeeded while the hasty climber failed.
A community garden began as a single plot tended by a retired teacher who wanted fresh vegetables. Curious neighbors asked to join, and soon the empty lot was divided into dozens of beds. Beyond the produce, the garden became a gathering place where people of different ages and backgrounds traded seeds, recipes, and stories. What started as one person's hobby had grown into a shared resource that nourished both bodies and relationships.
How did the community garden change over time?
It grew from one plot into a shared community space
It was sold to a commercial farm
It produced only flowers, not vegetables
It was abandoned by the neighbors
Correct answer: It grew from one plot into a shared community space
The passage describes the garden growing from one teacher's plot into a shared resource for the whole community.
Camouflage in nature takes many forms beyond simply blending into the background. Some creatures mimic the appearance of dangerous animals to ward off predators, while others change color to match shifting surroundings. Certain insects resemble twigs or leaves so closely that they vanish in plain sight. These strategies, refined over countless generations, demonstrate the inventive ways living things avoid becoming prey.
What is the main idea of the passage?
Predators cannot be deceived by camouflage
Camouflage is only used by insects
Camouflage in nature takes many varied forms
All animals use the same camouflage method
Correct answer: Camouflage in nature takes many varied forms
The passage describes several different camouflage strategies, illustrating that it takes many varied forms.
The author of the report had buried its most important finding deep in the final pages. As a result, busy executives skimmed the opening summary and missed the urgent warning entirely. When a colleague pointed out the oversight, the author revised the document to lead with the critical conclusion. The episode underscored a lesson familiar to skilled writers: place the most vital information where readers will actually find it.
What lesson does the passage illustrate?
Important information should be placed where readers will find it
Reports should be as long as possible
Warnings should be hidden to protect them
Executives never read summaries
Correct answer: Important information should be placed where readers will find it
The passage concludes that vital information should be placed where readers will actually find it.
The river that wound through the valley had shaped the region for centuries. Farmers depended on its waters for irrigation, and merchants used it as a highway for goods. Yet the same river that brought prosperity could turn destructive, flooding fields and homes after heavy rains. The people who lived along its banks learned to respect both its generosity and its dangers, building their lives around its unpredictable moods.
How did the people view the river, according to the passage?
As both a source of prosperity and danger
As a threat to be eliminated
As useless for transportation
As purely beneficial
Correct answer: As both a source of prosperity and danger
The passage states the people learned to respect both the river's generosity and its dangers.
Memory is far less reliable than most people assume. Rather than storing events like a video recording, the brain reconstructs them each time they are recalled, often filling gaps with assumptions or details borrowed from later experiences. This means that a vivid memory can feel completely accurate while containing significant errors. Researchers caution that confidence in a memory is no guarantee of its truth.
What does the passage say about confident memories?
They cannot be recalled more than once
Confidence does not guarantee accuracy
They are always accurate
They are stored like video recordings
Correct answer: Confidence does not guarantee accuracy
The passage cautions that confidence in a memory is no guarantee of its truth.
The remote village had no doctor, so when illness struck, residents traveled hours to the nearest clinic. A nonprofit organization addressed the gap by training local volunteers to handle basic medical needs and recognize serious cases requiring transport. Equipped with simple tools and a radio link to distant physicians, these volunteers dramatically improved care. The program showed that meaningful health gains do not always require expensive hospitals.
What was the key to improving health care in the village?
Relocating residents closer to a clinic
Importing doctors permanently
Training local volunteers with simple tools and remote support
Building a large new hospital
Correct answer: Training local volunteers with simple tools and remote support
The passage describes training local volunteers with simple tools and a radio link to physicians as the solution.
Bridges must be designed to handle forces that constantly push and pull against their structures. Engineers account for the steady weight of the bridge itself, the changing load of traffic, and dynamic forces such as wind and earthquakes. A successful design distributes these stresses so that no single part bears too much. The elegance of a great bridge lies not only in its appearance but in the invisible balance of forces holding it together.
According to the passage, what defines a successful bridge design?
A focus solely on appearance
Distributing stresses so no single part bears too much
Using the heaviest possible materials
Ignoring dynamic forces like wind
Correct answer: Distributing stresses so no single part bears too much
The passage states a successful design distributes stresses so that no single part bears too much.
Two children sit on a seesaw. If one child is heavier, where should the lighter child sit to balance it?
Closer to the pivot
Position does not matter
Farther from the pivot
Directly on the pivot
Correct answer: Farther from the pivot
To balance a heavier child, the lighter child must sit farther from the pivot to increase their moment arm.
A first-class lever has the fulcrum located where?
At the effort end
Between the effort and the load
At the same point as the load
Beyond the load
Correct answer: Between the effort and the load
In a first-class lever, the fulcrum is positioned between the effort and the load, like a seesaw.
Which simple machine is a doorknob an example of?
Wheel and axle
Wedge
Pulley
Inclined plane
Correct answer: Wheel and axle
A doorknob turns a shaft, making it a wheel and axle that converts a small turning force into greater torque.
If two gears mesh and the driver gear is larger than the driven gear, the driven gear will turn:
Slower than the driver
At the same speed
In the same direction
Faster than the driver
Correct answer: Faster than the driver
A smaller driven gear completes more revolutions for each turn of the larger driver, so it turns faster.
A pulley system with two supporting rope segments provides a mechanical advantage of approximately:
1
8
2
4
Correct answer: 2
The mechanical advantage of a pulley roughly equals the number of rope segments supporting the load, which is 2.
Increasing the length of a ramp while keeping the height the same will:
Increase the force needed to push a load up
Have no effect on force
Decrease the force needed to push a load up
Increase the load's weight
Correct answer: Decrease the force needed to push a load up
A longer ramp at the same height reduces the slope, decreasing the force needed but increasing the distance.
Which material is the best conductor of electricity?
Rubber
Glass
Wood
Copper
Correct answer: Copper
Copper is a metal and an excellent conductor of electricity, while the others are insulators.
When a fluid flows through a pipe that narrows, the fluid's speed:
Stays the same
Decreases
Increases
Stops entirely
Correct answer: Increases
By the continuity principle, fluid speeds up when forced through a narrower section of pipe.
A wedge is essentially which simple machine?
A wheel and axle
A moving inclined plane
A lever
A pulley
Correct answer: A moving inclined plane
A wedge functions as an inclined plane that moves, splitting or lifting objects as it is driven forward.
If you double the number of supporting ropes in a pulley system, the force needed to lift a load will:
Quadruple
Double
Be cut in half
Stay the same
Correct answer: Be cut in half
Doubling the supporting ropes doubles the mechanical advantage, cutting the required force in half.
Which of these increases the friction between two surfaces?
Reducing the weight pressing them together
Making surfaces rougher
Polishing the surfaces
Adding oil
Correct answer: Making surfaces rougher
Rougher surfaces interlock more, increasing friction, whereas lubrication and smoothing reduce it.
A heavy object floats in water because:
It contains no air
It weighs less than water
Water has no density
It displaces a weight of water equal to its own weight
Correct answer: It displaces a weight of water equal to its own weight
An object floats when it displaces a volume of water whose weight equals the object's own weight.
Torque is best described as:
The weight of an object
A turning or twisting force
A straight-line push
The speed of rotation
Correct answer: A turning or twisting force
Torque is a rotational force that causes an object to turn around a pivot or axis.
Two gears are connected by a chain. They will rotate:
Without any motion
In the same direction
At identical speeds always
In opposite directions
Correct answer: In the same direction
Gears connected by a chain (like on a bicycle) rotate in the same direction, unlike directly meshed gears.
Which has more potential energy: a rock at the top of a hill or the same rock at the bottom?
Neither has potential energy
At the top of the hill
They are equal
At the bottom of the hill
Correct answer: At the top of the hill
Gravitational potential energy increases with height, so the rock has more at the top of the hill.
A screw is a combination of which simple machine wrapped around a cylinder?
Pulley
Wheel and axle
Inclined plane
Lever
Correct answer: Inclined plane
A screw is an inclined plane wrapped around a cylinder, converting rotation into linear motion.
If the temperature of a gas in a sealed rigid container increases, the pressure will:
Decrease
Increase
Remain constant
Drop to zero
Correct answer: Increase
Heating a gas in a fixed volume increases the speed of its molecules, raising the pressure.
A bimetallic strip bends when heated because the two metals:
Have the same melting point
Expand at different rates
Conduct no heat
Are both insulators
Correct answer: Expand at different rates
The two metals expand by different amounts when heated, causing the strip to bend toward the slower-expanding metal.
Which requires the least effort to lift a heavy box onto a truck bed?
Using a short steep ramp
Throwing it
Lifting it straight up
Using a long ramp
Correct answer: Using a long ramp
A long ramp has a gentle slope, requiring the least force, though it covers more distance.
In a hydraulic system, applying force to a small piston produces a larger force on a large piston because:
The large piston weighs less
Fluid compresses easily
Friction is eliminated
Pressure is transmitted equally throughout the fluid
Correct answer: Pressure is transmitted equally throughout the fluid
Pressure applied to a confined fluid is transmitted equally, so the larger piston area produces a greater force.
An object moving in a circle at constant speed is:
Not accelerating
In equilibrium
Accelerating because its direction changes
Slowing down
Correct answer: Accelerating because its direction changes
Even at constant speed, the changing direction means the velocity changes, so the object is accelerating.
Which class of lever always produces a mechanical advantage greater than 1?
First-class lever
Third-class lever
All levers equally
Second-class lever
Correct answer: Second-class lever
In a second-class lever, the load is between the fulcrum and effort, always giving a mechanical advantage greater than 1.
Heat transfer through direct contact between materials is called:
Conduction
Convection
Insulation
Radiation
Correct answer: Conduction
Conduction is the transfer of heat through direct contact between materials.
A flywheel is used in machines primarily to:
Increase friction
Generate electricity
Store rotational energy and smooth motion
Cool the engine
Correct answer: Store rotational energy and smooth motion
A flywheel stores rotational energy due to its inertia, helping smooth out fluctuations in motion.
If two springs are identical and connected in parallel to support a load, compared to a single spring they will be:
More easily stretched
Unable to support the load
The same stiffness
Stiffer and harder to stretch
Correct answer: Stiffer and harder to stretch
Springs in parallel share the load, making the combination stiffer than a single spring.
Water seeks its own level in connected containers because of:
Magnetism
Electric charge
Surface tension only
Pressure from the weight of the fluid
Correct answer: Pressure from the weight of the fluid
The pressure created by the fluid's weight causes water to equalize levels in connected containers.
A larger driving gear with 40 teeth turns a smaller gear with 10 teeth. For each turn of the large gear, the small gear turns:
1 time
10 times
4 times
2 times
Correct answer: 4 times
The gear ratio is 40 to 10, or 4 to 1, so the small gear turns four times per turn of the large gear.
Which of these is an example of Newton's third law of motion?
A rocket pushing exhaust down and rising up
A book resting on a table
A car coasting to a stop
A ball rolling slower over time
Correct answer: A rocket pushing exhaust down and rising up
Newton's third law states every action has an equal and opposite reaction, as when rocket exhaust pushes down and the rocket rises.
An object with greater mass requires what to achieve the same acceleration as a lighter object?
More force
No force
The same force
Less force
Correct answer: More force
Newton's second law states force equals mass times acceleration, so more mass requires more force for the same acceleration.
A barometer is an instrument used to measure:
Atmospheric pressure
Temperature
Humidity only
Wind speed
Correct answer: Atmospheric pressure
A barometer measures atmospheric pressure, which is useful for predicting weather changes.
In a block and tackle, what is gained at the cost of having to pull more rope?
Weight
Mechanical advantage (force)
Speed
Heat
Correct answer: Mechanical advantage (force)
A block and tackle multiplies force, but you must pull a greater length of rope to lift the load a given distance.
Why does a sharpened knife cut more easily than a dull one?
It has less mass
It reduces friction to zero
It is colder
It concentrates force over a smaller area
Correct answer: It concentrates force over a smaller area
A sharp edge concentrates the applied force over a much smaller area, increasing pressure and making cutting easier.
Which way will the second gear turn if two gears are directly meshed and the first turns clockwise?
Both directions
Clockwise
It will not turn
Counterclockwise
Correct answer: Counterclockwise
Directly meshed gears rotate in opposite directions, so the second gear turns counterclockwise.
Centrifugal effect tends to push objects in a spinning system:
To a complete stop
Outward, away from the center
Toward the center
Straight up
Correct answer: Outward, away from the center
Objects in a rotating system tend to move outward away from the center of rotation.
Which type of bridge support is strongest against compression forces?
An arch
A flat beam
A single rope
A hinge
Correct answer: An arch
An arch efficiently carries compression forces by directing the load down along its curve to the supports.
If a 10-pound weight hangs from a single fixed pulley, how much force is needed to hold it (ignoring friction)?
5 pounds
20 pounds
2 pounds
10 pounds
Correct answer: 10 pounds
A single fixed pulley only changes the direction of force, not its magnitude, so 10 pounds is needed.
The boiling point of water is lower at high altitude because:
The water is colder
Atmospheric pressure is lower
There is more oxygen
Gravity is stronger
Correct answer: Atmospheric pressure is lower
Lower atmospheric pressure at altitude allows water to boil at a lower temperature.
A cam in a machine is used to:
Measure pressure
Convert rotary motion into linear motion
Reduce temperature
Store electricity
Correct answer: Convert rotary motion into linear motion
A cam converts rotational motion into back-and-forth linear motion of a follower.
Two identical boxes are pushed across the floor; one is full and one is empty. The full box is harder to move because it has:
Lower density
Less friction
A smaller surface area
Greater weight and thus more friction
Correct answer: Greater weight and thus more friction
The heavier full box presses down harder, increasing the friction force that must be overcome.
Which describes the mechanical advantage of a machine?
Input force divided by output force
The weight of the machine
Output force divided by input force
The speed of the machine
Correct answer: Output force divided by input force
Mechanical advantage is the ratio of output force to input force, showing how much a machine multiplies force.
When a moving car suddenly stops, passengers lurch forward due to:
Inertia
Air pressure
Gravity
Friction
Correct answer: Inertia
Inertia keeps the passengers moving forward at the original speed even as the car stops.
A longer wrench handle makes loosening a bolt easier because it:
Cools the bolt
Decreases friction in the bolt
Reduces the bolt's weight
Increases the torque applied
Correct answer: Increases the torque applied
A longer handle increases the moment arm, producing more torque for the same applied force.
In a series of three meshed gears, the first and third gears rotate:
Never at all
In opposite directions
At triple speed
In the same direction
Correct answer: In the same direction
Each meshed gear reverses direction; after two reversals, the third gear turns the same direction as the first.
Steam can do work in an engine because, compared to liquid water, it:
Cannot move pistons
Expands and exerts pressure
Has less energy
Is denser
Correct answer: Expands and exerts pressure
Water turning to steam expands greatly and exerts pressure, which can push a piston to do work.
Which factor does NOT affect the period of a simple pendulum?
Mass of the bob
All affect it equally
Length of the pendulum
Strength of gravity
Correct answer: Mass of the bob
A pendulum's period depends on its length and gravity, but not on the mass of the bob.
Two ships leave the same port at the same time, one heading due north at 18 knots and the other due east at 24 knots. After 3 hours, how far apart are they in nautical miles?
72
126
102
90
Correct answer: 90
The ships are 90 nautical miles apart. Distance equals rate times time, so the northbound ship travels 18×3=54 nm and the eastbound ship travels 24×3=72 nm. Because their paths are perpendicular, the gap is the hypotenuse: 542+722=2916+5184=8100=90.
A patrol boat travels 105 nautical miles in 3.5 hours. At the same speed, how long will it take to cover 135 nautical miles?
4 hours
3.75 hours
5 hours
4.5 hours
Correct answer: 4.5 hours
It takes 4.5 hours. The boat's speed is distance divided by time: 105/3.5=30 knots. Time equals distance divided by rate, so 135/30=4.5 hours. Multiplying instead of dividing would give the wrong larger figure.
A drill yields 92 of 115 recruits passing. What percent passed?
85%
78%
80%
75%
Correct answer: 80%
80 percent passed. Divide the number who passed by the total: 92/115=0.80, which is 80 percent. Reversing the fraction to 92115 would give a value above 100 percent, which is impossible for a pass rate.
Solve the system: x+y=14 and x−y=4. What is the value of x?
5
9
10
7
Correct answer: 9
x equals 9. Adding the two equations eliminates y: (x+y)+(x−y)=14+4 gives 2x=18, so x=9 (and y=5). Picking y=5 by mistake would answer the wrong variable.
Solve for x: x2−5x+6=0.
x=−2 or x=−3
x=0 or x=5
x=1 or x=6
x=2 or x=3
Correct answer: x=2 or x=3
The solutions are x=2 or x=3. The trinomial factors as (x−2)(x−3)=0 because −2 and −3 multiply to +6 and add to −5. Setting each factor to zero gives the two roots. Negative roots would result only if the middle and last terms had different signs.
What is the value of 2 to the fourth power multiplied by 2 cubed?
256
128
32
64
Correct answer: 128
The value is 128. When multiplying powers with the same base, add the exponents: 2 to the (4 + 3) power equals 2 to the seventh power, which is 128. Multiplying the exponents instead would wrongly give 2 to the twelfth power.
Simplify 72.
83
126
218
62
Correct answer: 62
The simplified form is 62. Factor 72 into 36×2, and since 36=6, the expression becomes 62. Leaving it as 218 is not fully simplified because 18 still contains the perfect square 9.
What is 65 minus 83?
242
21
2413
2411
Correct answer: 2411
The difference is 2411. The least common denominator of 6 and 8 is 24, so 65 becomes 2420 and 83 becomes 249; 2420−249=2411. Subtracting numerators and denominators directly to get 242 is a common error.
What is 32 divided by 94?
49
23
278
32
Correct answer: 23
The quotient is 23. To divide fractions, multiply by the reciprocal: 32×49=1218, which simplifies to 23. Multiplying straight across without flipping the second fraction would give the incorrect 278.
A bag holds 5 black, 3 white, and 2 red chips. If one chip is drawn at random, what is the probability it is NOT white?
103
21
107
52
Correct answer: 107
The probability is 107. There are 10 chips total and 3 are white, so 7 are not white, giving 107. Choosing 103 mistakenly reports the probability of drawing white rather than not white.
The average of four test scores is 82. If three of the scores are 78, 85, and 90, what is the fourth score?
84
75
79
81
Correct answer: 75
The fourth score is 75. An average of 82 over four scores means the total is 4×82=328. The three known scores sum to 253, so the fourth is 328−253=75. Averaging only the three known scores ignores the required total.
A map uses a scale where 2 inches represents 75 miles. How many miles do 5 inches represent?
200 miles
187.5 miles
150 miles
165 miles
Correct answer: 187.5 miles
It represents 187.5 miles. Set up the proportion 75 miles2 inches=x5 inches; cross-multiplying gives 2x=375, so x=187.5 miles. Each inch equals 37.5 miles, and 5 inches is 5×37.5.
A rectangular field is 60 yards long and 45 yards wide. What is its perimeter?
105 yards
2700 yards
210 yards
150 yards
Correct answer: 210 yards
The perimeter is 210 yards. Perimeter of a rectangle is twice the sum of length and width: 2×(60+45)=2×105=210 yards. Multiplying length by width instead gives the area, 2700 square yards.
Two angles are complementary, and one measures 37 degrees. What is the measure of the other angle?
53 degrees
143 degrees
63 degrees
47 degrees
Correct answer: 53 degrees
The other angle is 53 degrees. Complementary angles sum to 90 degrees, so the missing angle is 90−37=53 degrees. Using 180 degrees would describe supplementary angles, giving the incorrect 143.
What is 248 plus 197 using mental math?
435
445
425
455
Correct answer: 445
The sum is 445. A quick mental approach rounds 197 up to 200, adds it to 248 for 448, then subtracts the 3 that was added: 448−3=445. Forgetting to subtract the rounding adjustment would leave 448.
If 3x−2=5x+8, what is the value of x?
5
−5
−3
3
Correct answer: −5
x equals −5. Subtract 3x from both sides to get −2=2x+8, then subtract 8 to get −10=2x, so x=−5. Dropping the negative sign when dividing would give the incorrect positive 5.
The line described by 2x+3y=12 crosses the y-axis at what value of y?
2
6
12
4
Correct answer: 4
The line crosses the y-axis at y=4. A graph meets the y-axis where x=0, so substitute 0 for x: 2(0)+3y=12 gives 3y=12 and y=4. Setting y to 0 instead would find the x-intercept of 6, not the y-intercept.
A tank is 53 full and holds 90 gallons at that level. What is the tank's full capacity?
54 gallons
135 gallons
120 gallons
150 gallons
Correct answer: 150 gallons
The full capacity is 150 gallons. If 53 of the capacity equals 90 gallons, then one fifth equals 30 gallons, and five fifths equals 150 gallons. Taking 53 of 90 instead would wrongly shrink the answer to 54.
An alloy mixes copper and zinc in a 5:3 ratio. If a sample contains 200 grams of copper, how many grams of zinc does it contain?
125 grams
333 grams
160 grams
120 grams
Correct answer: 120 grams
It contains 120 grams of zinc. Each ratio unit equals 200/5=40 grams, so the 3 zinc units weigh 3×40=120 grams. Multiplying 200 by 53 gives the same 120, while reversing the ratio would overstate the zinc.
A price rises from $80 to $100. By what percent did it increase?
80%
25%
125%
20%
Correct answer: 25%
The price increased by 25 percent. Percent increase equals the change divided by the original amount: (100−80)/80=20/80=0.25, or 25 percent. Dividing the change by the new price of 100 would understate it as 20 percent.
What is 30 percent of 60 percent of 500?
100
150
180
90
Correct answer: 90
The result is 90. First take 60 percent of 500, which is 300, then take 30 percent of 300, which is 90. Adding the percentages to 90 percent and applying that to 500 would wrongly give 450.
What is the value of 7+12/(2+1)×2?
8
18.7
15
12.7
Correct answer: 15
The value is 15. Following order of operations, the parentheses give 3 first; then division and multiplication go left to right: 12/3=4, then 4×2=8; finally 7+8=15. Multiplying before dividing would distort the result.
How many distinct three-letter codes can be formed from the letters A, B, C, and D if no letter repeats?
16
64
12
24
Correct answer: 24
There are 24 distinct codes. With no repeats, the first slot has 4 choices, the second has 3, and the third has 2, giving 4×3×2=24. Allowing repeats would instead yield 4 cubed, or 64.
The OAR Math Skills Test draws on which three broad areas of mathematics?
Probability, logic, and number theory
Arithmetic, algebra, and geometry
Calculus, statistics, and trigonometry
Accounting, finance, and economics
Correct answer: Arithmetic, algebra, and geometry
The correct grouping is arithmetic, algebra, and geometry. The Navy OAR Math Skills Test (a subset of the ASTB-E) covers standard arithmetic operations, algebra such as solving for variables, fractions, exponents and roots, and geometry including angles, area, and perimeter. Calculus and trigonometry are not tested on this section.
Read the passage, then answer the question.
The Officer Aptitude Rating reading section does not assume you arrive with specialized knowledge of any topic. Instead, every correct answer must be supported by information stated or directly implied within the passage itself. Test-takers who rely on outside facts they happen to know, rather than on the text in front of them, frequently select answers that seem true in general but are not backed by the passage. The skill being measured is the ability to work strictly from the given material.
According to the passage, why might a well-informed test-taker still answer incorrectly?
The reading section deliberately uses false statements
They relied on outside knowledge instead of the passage
The passages are written to be misleading
They ran out of time before finishing
Correct answer: They relied on outside knowledge instead of the passage
A well-informed test-taker may answer incorrectly because they relied on outside knowledge instead of the passage. The text states that those who use facts they happen to know rather than the material in front of them often pick answers that seem generally true but are not supported. The passage never claims the section uses false statements or is designed to mislead.
Read the passage, then answer the question.
Finding the main idea of a passage means identifying the single point the author most wants the reader to take away, rather than any one supporting detail. A useful method is to ask what idea every sentence in the passage works to support. Details, examples, and statistics are not themselves the main idea; they are the evidence that builds toward it. When several sentences all point toward one general statement, that statement is usually the main idea.
Based on the passage, how can a reader best identify the main idea?
By determining which idea all the sentences support
By picking the longest sentence in the passage
By selecting the most surprising statistic in the text
By choosing the first sentence of the passage
Correct answer: By determining which idea all the sentences support
A reader can best identify the main idea by determining which idea all the sentences support. The passage explains the main idea is the single point every sentence works toward, and that details and statistics are evidence rather than the main idea itself. Choosing a statistic or the first sentence ignores this principle.
Read the passage, then answer the question.
An inference question asks you to reach a conclusion that the passage does not state outright but clearly supports. The correct inference stays close to the text, going only one small step beyond what is written. Answers that require large assumptions, introduce new information, or contradict the passage are wrong, even if they sound reasonable. Good readers test each option by asking whether the passage gives enough evidence to justify it.
What distinguishes a correct inference from an incorrect one, according to the passage?
A correct inference contradicts part of the passage
A correct inference stays close to the text with sufficient evidence
A correct inference always restates a sentence word for word
A correct inference is the most dramatic possible conclusion
Correct answer: A correct inference stays close to the text with sufficient evidence
A correct inference stays close to the text with sufficient evidence. The passage says a good inference goes only one small step beyond the writing and is justified by the text, while answers requiring large assumptions or new information are wrong. Restating a sentence word for word would be a stated fact, not an inference.
Read the passage, then answer the question.
The supply officer reviewed the requisition twice before forwarding it. The ship was scheduled to remain at sea for an additional six weeks, yet the original order had been calculated for a four-week deployment. Rather than approve the shortfall and hope replenishment would catch up, she revised the quantities upward and flagged the discrepancy for the logistics chief. Her note explained that approving the order as written would have left the crew short of essential stores well before the next resupply.
Why did the supply officer revise the requisition?
The logistics chief had requested smaller quantities
The original order matched the deployment exactly
The original order covered too short a deployment period
She wanted to reduce the ship's storage burden
Correct answer: The original order covered too short a deployment period
The supply officer revised the requisition because the original order covered too short a deployment period. The passage explains the order was calculated for four weeks while the ship would remain at sea for six, so approving it as written would have left the crew short before resupply. The text says she raised the quantities, not lowered them.
Read the passage, then answer the question.
In its original sense, the word 'muster' referred simply to gathering troops together for inspection or counting. Aboard a modern vessel, the term has retained this core meaning: a muster is an assembly at which personnel are accounted for, often during drills or emergencies. When the announcement directs all hands to muster at their stations, it is calling them to assemble and be counted, not to begin any particular task.
As used in the passage, the word 'muster' most nearly means:
To issue an order
To assemble and be accounted for
To stand down from duty
To repair equipment
Correct answer: To assemble and be accounted for
As used in the passage, 'muster' most nearly means to assemble and be accounted for. The text defines a muster as an assembly at which personnel are counted and states the announcement calls them to assemble, not to begin a task. The other choices describe actions the passage explicitly distinguishes from mustering.
Read the passage, then answer the question.
The training manual stressed that a checklist is not a sign of incompetence but a safeguard against it. Even experienced operators, it argued, can skip a step when distracted or fatigued, and the consequences in complex systems can be severe. By forcing each action to be confirmed in sequence, a checklist catches the lapses that confidence alone cannot prevent. The most skilled professionals, the manual noted, are often the most disciplined about using them.
What is the main idea of the passage?
Confidence is the best protection against errors
Checklists slow down skilled operators unnecessarily
Only inexperienced workers need checklists
Checklists guard even experienced people against lapses
Correct answer: Checklists guard even experienced people against lapses
The main idea is that checklists guard even experienced people against lapses. The passage argues a checklist is a safeguard, that even experienced operators can skip steps when distracted or fatigued, and that confidence alone cannot prevent such lapses. It directly rejects the idea that only the inexperienced need them.
Read the passage, then answer the question.
The research vessel had been tracking the storm for three days, adjusting its course each morning based on the latest forecasts. By the fourth day, the captain made a decision that surprised the science team: rather than racing to complete the survey before the weather closed in, he ordered a return to port. He explained that incomplete data gathered safely was worth more than complete data gathered at the cost of the ship and crew.
What can be inferred about the captain's priorities?
He distrusted the accuracy of the forecasts
He valued the crew's safety above completing the survey
He believed the storm would dissipate quickly
He considered the survey data worthless
Correct answer: He valued the crew's safety above completing the survey
It can be inferred that the captain valued the crew's safety above completing the survey. He ordered a return to port and explained that incomplete data gathered safely was worth more than complete data gathered at the cost of the ship and crew, which clearly implies safety came first. He still saw value in the data, just not at that cost.
Read the passage, then answer the question.
Tidal energy has long attracted engineers because tides are extraordinarily predictable, following the gravitational rhythm of the moon rather than the variable patterns of wind or sun. A tidal generator can therefore forecast its output years in advance. The obstacle has never been reliability but cost: building structures that withstand constant saltwater corrosion and powerful currents remains expensive. Until these costs fall, tidal power is likely to stay a minor contributor to the energy supply.
According to the passage, what is the main obstacle to wider use of tidal energy?
The high cost of durable structures
The unpredictability of tides
A shortage of suitable coastlines
Opposition from coastal communities
Correct answer: The high cost of durable structures
The main obstacle is the high cost of durable structures. The passage explicitly states the obstacle has never been reliability but cost, citing the expense of structures that resist saltwater corrosion and currents. It actually praises tides as extraordinarily predictable, ruling out unpredictability.
Read the passage, then answer the question.
The new analyst was eager to present her findings, but her supervisor cautioned her to separate what the data showed from what she suspected. The sales decline coincided with a competitor's new advertisement, she noted, but coincidence in timing was not the same as cause. Other explanations, such as a seasonal slowdown or a pricing change, had not yet been ruled out. A responsible conclusion, the supervisor said, would acknowledge the correlation without claiming proof of cause.
What point is the supervisor making?
A correlation in timing does not prove cause
The competitor's advertisement caused the decline
The data is too unreliable to use
Seasonal slowdowns always explain sales declines
Correct answer: A correlation in timing does not prove cause
The supervisor is making the point that a correlation in timing does not prove cause. She stresses that coincidence in timing is not the same as cause and that other explanations have not been ruled out, urging the analyst to acknowledge correlation without claiming proof. The passage never says the advertisement caused the decline or that the data is unreliable.
Read the passage, then answer the question.
The fledgling colony's survival depended on a single freshwater spring at the edge of the settlement. As the population grew, the spring's flow could no longer meet daily demand, and rationing began to breed resentment. A surveyor eventually traced an underground stream to a higher elevation and proposed a simple gravity-fed channel to bring its water down. Within a season, the new supply ended the rationing and quieted the disputes that scarcity had provoked.
What solved the colony's water shortage?
A reduction in the colony's population
A gravity-fed channel from a higher stream
Pumping water uphill from a distant river
Stricter rationing of the existing spring
Correct answer: A gravity-fed channel from a higher stream
The colony's water shortage was solved by a gravity-fed channel from a higher stream. The passage describes a surveyor tracing an underground stream at a higher elevation and proposing the channel, after which the rationing ended. Rationing is named as the failed stopgap, not the solution, and the population grew rather than shrank.
Read the passage, then answer the question.
The aircraft's checklist distinguished sharply between a 'caution' and a 'warning.' A caution alerted the crew to a condition that required attention but allowed time to respond methodically. A warning, by contrast, signaled an immediate threat demanding instant action. Confusing the two could be dangerous in opposite directions: treating a warning as a caution risked disaster, while treating a caution as a warning could provoke a hasty, unnecessary response.
Based on the passage, how does a warning differ from a caution?
A warning allows more time to respond
A warning requires immediate action
A warning can always be safely ignored
A warning is less serious than a caution
Correct answer: A warning requires immediate action
A warning differs from a caution in that a warning requires immediate action. The passage defines a warning as signaling an immediate threat demanding instant action, while a caution allows time to respond methodically. This makes a warning more serious, not less, and never something to ignore.
Read the passage, then answer the question.
When the museum digitized its archives, curators expected scholars to be the main beneficiaries. Instead, the largest surge in use came from ordinary citizens researching their own family histories. Letters, photographs, and shipping records that had sat untouched for decades suddenly connected people to ancestors they had never known. The project's director remarked that the collection's value had multiplied not because it changed, but because access to it did.
What does the director's remark suggest?
Scholars no longer found the archive useful
The archive's contents were rewritten for the public
Access, more than content, determined the archive's value
The digitization project failed to reach its goals
Correct answer: Access, more than content, determined the archive's value
The director's remark suggests that access, more than content, determined the archive's value. He notes the collection's value multiplied not because it changed but because access to it did, directly tying value to accessibility. The contents were unchanged, and the project clearly succeeded by reaching a wide audience.
Read the passage, then answer the question.
A passage can support a statement directly, by saying it outright, or indirectly, by providing facts from which the statement reasonably follows. On the reading section, a question may ask which statement the passage supports rather than which it states. The correct choice need not appear word for word in the text; it must simply be consistent with and backed by what the passage provides. Statements that go beyond the evidence, however logical they seem, are not supported.
According to the passage, a statement is 'supported' by a passage when it:
Is consistent with and backed by the passage's information
Sounds logical regardless of the passage
Appears in the passage word for word
Contradicts a detail in the passage
Correct answer: Is consistent with and backed by the passage's information
A statement is 'supported' when it is consistent with and backed by the passage's information. The passage explains support can be direct or indirect and that the correct statement need not appear verbatim, only be consistent with and justified by the text. Statements that exceed the evidence are explicitly unsupported.
Read the passage, then answer the question.
The chief engineer kept a worn notebook in which he recorded every machinery failure he had ever responded to, along with its cause and fix. Junior sailors sometimes mocked the habit as old-fashioned in an age of digital logs. Yet when a pump failed in a way the computer diagnostics could not explain, it was a decade-old entry in that notebook that pointed to the answer. After that night, the notebook was treated with new respect.
Why did attitudes toward the notebook change?
The notebook was replaced with a newer system
The chief engineer ordered the sailors to respect it
The digital diagnostics were permanently disabled
The notebook solved a failure the computers could not
Correct answer: The notebook solved a failure the computers could not
Attitudes changed because the notebook solved a failure the computers could not. The passage says a decade-old entry pointed to the answer when computer diagnostics could not explain a pump failure, and the notebook was treated with new respect afterward. The change came from results, not from an order or a system replacement.
Read the passage, then answer the question.
Sea fog forms when warm, moist air drifts over colder water, chilling the air until its moisture condenses into a thick haze near the surface. Because it depends on the temperature difference between air and water rather than on rainfall, sea fog can appear suddenly on an otherwise clear day. Mariners learn to anticipate it by watching for warm air moving across cool currents, a combination that often signals reduced visibility ahead.
What can be inferred about predicting sea fog?
Sea fog is impossible to predict in advance
Sea fog only forms during rainstorms
Sea fog can be anticipated by watching air and water temperatures
Sea fog requires cold air over warm water
Correct answer: Sea fog can be anticipated by watching air and water temperatures
It can be inferred that sea fog can be anticipated by watching air and water temperatures. The passage says mariners anticipate it by watching for warm air moving across cool currents, implying temperature observation enables prediction. The text states fog forms from warm air over cold water and does not depend on rainfall, ruling out the other options.
Read the passage, then answer the question.
The author opens by describing a quiet harbor at dawn, then introduces a fisherman repairing his nets, and finally reflects on how generations of his family have worked the same waters. Although the passage contains vivid scenery and a single character, none of these is its central concern. The harbor and the fisherman serve a larger purpose: to illustrate the endurance of a way of life passed from parent to child across many years.
What is the central concern of the passage?
The decline of the fishing industry
The fisherman's method of repairing nets
The endurance of a way of life across generations
The beauty of the harbor at dawn
Correct answer: The endurance of a way of life across generations
The central concern is the endurance of a way of life across generations. The passage explicitly states the harbor and fisherman serve a larger purpose, to illustrate a way of life passed from parent to child across many years. The scenery and the net repair are supporting details, and decline is never mentioned.
Read the passage, then answer the question.
The committee's report ran to ninety pages, but its recommendation occupied a single paragraph near the end. Reviewers who skimmed the document came away with conflicting impressions because the body presented arguments on every side without clearly signaling which the committee favored. Only the final paragraph resolved the matter. A clearer report, one analyst observed, would have stated its conclusion at the outset and used the body to defend it.
What criticism does the analyst make of the report?
The report contained factual errors
The report was too short to be useful
The report omitted opposing arguments
The report should have stated its conclusion first
Correct answer: The report should have stated its conclusion first
The analyst's criticism is that the report should have stated its conclusion first. The analyst observes that a clearer report would have stated its conclusion at the outset and used the body to defend it, addressing the confusion caused by burying the recommendation. The report was long, not short, and actually included arguments on every side.
Read the passage, then answer the question.
In navigation, the word 'bearing' refers to the direction of one object from another, measured as an angle from a reference such as north. It is distinct from distance, which tells how far away the object lies. A lookout who reports a contact's bearing is stating which way to look, not how near it is. To fix a position precisely, a navigator must combine bearing with distance, since neither alone locates an object.
As used in the passage, 'bearing' refers to:
The direction of one object from another
The size of an object on the horizon
The speed of a moving object
The distance to an object
Correct answer: The direction of one object from another
As used in the passage, 'bearing' refers to the direction of one object from another. The text defines bearing as a direction measured as an angle from a reference and explicitly distinguishes it from distance, noting a bearing tells which way to look, not how near something is. That rules out distance, speed, and size.
Read the passage, then answer the question.
The mentorship program paired senior officers with new recruits, but its designers warned against a common misunderstanding. A mentor's role, they emphasized, was not to make decisions for the recruit but to help the recruit learn to make sound decisions independently. A mentor who solved every problem would produce someone dependent rather than capable. The measure of success was a recruit who eventually needed the mentor less, not more.
What does the passage indicate is the goal of mentorship?
To keep the recruit dependent on guidance
To make decisions on the recruit's behalf
To develop the recruit's independent judgment
To reduce the number of recruits in training
Correct answer: To develop the recruit's independent judgment
The goal of mentorship is to develop the recruit's independent judgment. The passage states the mentor's role is to help the recruit learn to make sound decisions independently, and that success means the recruit needs the mentor less over time. Solving every problem to keep the recruit dependent is the failure to avoid.
Read the passage, then answer the question.
The drought had lasted two years, and the reservoir stood at a quarter of its capacity. City officials faced a choice between mandatory restrictions, which the public resented, and voluntary appeals, which had so far produced little change. A council member proposed a third path: tiered pricing that left basic use affordable while charging steeply for excess. Consumption fell within a month, and the reservoir stabilized without the heavy-handed bans residents had feared.
Which approach ultimately reduced water consumption?
Expanding the reservoir's capacity
Voluntary appeals to the public
Tiered pricing that charged more for excess use
Mandatory restrictions enforced by officials
Correct answer: Tiered pricing that charged more for excess use
Consumption was reduced by tiered pricing that charged more for excess use. The passage describes a third path of tiered pricing that kept basic use affordable while charging steeply for excess, after which consumption fell and the reservoir stabilized. Mandatory restrictions were resented and voluntary appeals had produced little change.
Read the passage, then answer the question.
Some readers approach a difficult passage by trying to memorize every detail, but this often backfires. Holding many isolated facts in mind leaves little attention for grasping how they relate. A more effective strategy is to read for structure first, noting how the passage is organized and where its main point lies, then return for details only as the questions require. Understanding the shape of an argument makes its parts far easier to locate and recall.
What reading strategy does the passage recommend?
Skipping the passage and reading only the questions
Reading for structure and main point first
Reading the passage backward to find conclusions
Memorizing every detail before answering
Correct answer: Reading for structure and main point first
The passage recommends reading for structure and main point first. It argues that memorizing every detail backfires and that grasping the organization and main point before returning for details as questions require is more effective. It never suggests skipping the passage or reading it backward.
Read the passage, then answer the question.
The veteran navigator distrusted any single instrument, no matter how modern. A satellite system could lose signal, a gyrocompass could drift, and a chart could be outdated. By cross-checking several independent sources, he could catch the moment one of them began to lie. He often told trainees that the dangerous error is not the one you detect but the one you trust without question.
What can be inferred about why the navigator cross-checks his instruments?
He believes modern instruments are useless
A single instrument is always sufficient if it is modern
He prefers older equipment over newer equipment
Cross-checking reveals when one source has become unreliable
Correct answer: Cross-checking reveals when one source has become unreliable
It can be inferred that the navigator cross-checks because cross-checking reveals when one source has become unreliable. The passage says comparing several independent sources lets him catch the moment one begins to lie, implying the purpose is to detect a failing instrument. He uses modern tools rather than rejecting them, and his point is that one instrument is not enough.
A worker pushes a crate with a steady horizontal force of 50 newtons, moving it 8 meters across a level floor. How much work is done on the crate?
400 joules
0.16 joules
6.25 joules
58 joules
Correct answer: 400 joules
The work done is 400 joules. Work in physics equals force multiplied by the distance moved in the direction of the force, so 50×8=400 joules. Dividing the two values (which would give 6.25) or adding them (58) does not represent work.
A 30-newton force is applied to a box, but the box does not move at all. According to the physics definition of work, how much work is done on the box?
900 joules
Zero joules
It depends on the box's weight
30 joules
Correct answer: Zero joules
Zero joules of work is done. Work equals force times the distance the object moves, so if the displacement is zero, the work is zero no matter how large the force is. A force that produces no motion accomplishes no mechanical work in the physics sense.
A driver gear with 12 teeth meshes with a driven gear that has 36 teeth. Using the gear ratio formula, what is the gear ratio of this pair?
3 to 1
1 to 3
1 to 24
12 to 1
Correct answer: 3 to 1
The gear ratio is 3 to 1. The gear ratio formula divides the number of teeth on the driven gear by the number of teeth on the driver gear, so 36/12=3, written as 3 to 1. This means the driver must turn three times for the larger driven gear to turn once.
A small driver gear turns at 300 revolutions per minute and is connected to a larger driven gear in a 3 to 1 reduction. How fast does the driven gear turn?
900 revolutions per minute
300 revolutions per minute
150 revolutions per minute
100 revolutions per minute
Correct answer: 100 revolutions per minute
The driven gear turns at 100 revolutions per minute. In a gear reduction, output speed equals input speed divided by the gear ratio, so 300/3=100. A larger driven gear always turns slower than the smaller driver while delivering more torque.
In a gear reduction where a small gear drives a large gear, what is gained at the driven gear as its speed is reduced?
Higher voltage
Increased torque
Reduced weight
Lower friction
Correct answer: Increased torque
Increased torque is gained. A gear reduction trades speed for turning force, so as the output gear turns more slowly than the input, it delivers proportionally greater torque. This is why low gears in a vehicle provide more pulling power but less speed.
A lever lifts a load with an output force of 600 newtons while the person applies an input effort of 150 newtons. What is the mechanical advantage of the lever?
0.25
750
4
450
Correct answer: 4
The mechanical advantage is 4. Mechanical advantage is calculated as the output (load) force divided by the input (effort) force, so 600/150=4. This means the lever multiplies the applied force four times.
What does mechanical advantage describe about a simple machine?
How fast the machine can operate
How much heat the machine produces
How much the machine multiplies the input force
How much the machine weighs
Correct answer: How much the machine multiplies the input force
Mechanical advantage describes how much a machine multiplies the input force. It is the ratio of output force to input force, indicating the factor by which a machine increases the force applied to it. A mechanical advantage greater than 1 means the output force is larger than the effort.
A movable pulley is attached directly to a load while one rope end is anchored above. Compared with a single fixed pulley, the movable pulley provides:
A mechanical advantage of about 4
Less mechanical advantage than lifting by hand
A mechanical advantage of about 2
No mechanical advantage, only a change of direction
Correct answer: A mechanical advantage of about 2
A movable pulley provides a mechanical advantage of about 2. Because two rope segments share the weight, the effort needed is roughly half the load. A single fixed pulley, by contrast, only redirects the force and gives a mechanical advantage of about 1.
What is the main difference between a fixed pulley and a movable pulley?
A fixed pulley reduces force while a movable pulley only changes direction
Both reduce the force by half
A fixed pulley changes the direction of force but not its size, while a movable pulley reduces the force needed
A movable pulley is always anchored to the ceiling
Correct answer: A fixed pulley changes the direction of force but not its size, while a movable pulley reduces the force needed
A fixed pulley changes the direction of the force without reducing it, while a movable pulley reduces the effort needed to lift a load. A fixed pulley is attached to a stationary support and offers a mechanical advantage of about 1; a movable pulley travels with the load and offers a mechanical advantage of about 2.
A pulley system must lift a 240-pound load with four rope segments supporting it. Ignoring friction, about how much force is needed to lift it?
120 pounds
240 pounds
60 pounds
960 pounds
Correct answer: 60 pounds
About 60 pounds of force is needed. The mechanical advantage roughly equals the number of supporting rope segments, which is 4, so the required effort is the load divided by 4: 240/4=60 pounds. The trade-off is that four feet of rope must be pulled for each foot the load rises.
A see-saw lever balances when the turning effect on each side is equal. If a 60-pound child sits 4 feet from the pivot, how far from the pivot must a 48-pound child sit on the other side to balance it?
3.2 feet
4 feet
6 feet
5 feet
Correct answer: 5 feet
The 48-pound child must sit 5 feet from the pivot. A lever balances when weight times distance is equal on both sides: 60×4=240, so the lighter child needs 240/48=5 feet. The lighter child must sit farther from the fulcrum to match the heavier child's moment.
On a balanced plank lever, the fixed point on which the plank pivots and from which the effort and load distances are measured is called the:
Moment
Effort arm
Load arm
Fulcrum
Correct answer: Fulcrum
This point is called the fulcrum. The fulcrum is the fixed pivot of a lever about which it rotates and from which both the effort and load distances are measured. The balance point of a uniform plank rests directly over the fulcrum.
In a class 1 lever the fulcrum sits between the effort and the load, while in a class 2 lever the load sits between the fulcrum and the effort. Which everyday tool is an example of a class 2 lever?
A fishing rod
A pair of pliers
A wheelbarrow
A seesaw
Correct answer: A wheelbarrow
A wheelbarrow is a class 2 lever. Its load sits between the wheel, which acts as the fulcrum, and the handles where the effort is applied, always giving a mechanical advantage greater than 1. A seesaw is a class 1 lever because its fulcrum is between the effort and the load.
A mechanic applies 90 newtons of force at the end of a wrench handle 0.5 meters long, perpendicular to the bolt. Using the torque formula, what torque is produced at the bolt?
0.0056 newton-meters
90.5 newton-meters
180 newton-meters
45 newton-meters
Correct answer: 45 newton-meters
The torque is 45 newton-meters. The torque formula multiplies the applied force by the length of the lever arm (the perpendicular distance to the pivot), so 90×0.5=45 newton-meters. A longer handle would increase the lever arm and produce more torque for the same force.
A book rests motionless on a table and stays at rest until something pushes it. This tendency of an object to remain at rest unless acted on by an outside force illustrates which of Newton's laws of motion?
The law of conservation of charge
Newton's third law of motion
Pascal's principle
Newton's first law of motion
Correct answer: Newton's first law of motion
This illustrates Newton's first law of motion, the law of inertia. It states that an object at rest stays at rest, and an object in motion stays in motion at constant velocity, unless acted on by an unbalanced outside force. The resting book remains still because no net force acts to move it.
In a four-stroke gasoline engine, which stroke produces the power that turns the crankshaft?
The power stroke, when the ignited mixture expands and pushes the piston down
The intake stroke, when the fuel-air mixture enters
The compression stroke, when the mixture is squeezed
The exhaust stroke, when burned gases leave
Correct answer: The power stroke, when the ignited mixture expands and pushes the piston down
The power stroke produces the engine's power. After the compressed fuel-air mixture is ignited, the hot gases expand rapidly and force the piston down, and this motion turns the crankshaft. The intake, compression, and exhaust strokes prepare for or clean up after this energy-releasing event.
A hydraulic press has an input piston with an area of 2 square inches and an output piston with an area of 20 square inches. What is the mechanical advantage of the press, ignoring friction?
2
40
0.1
10
Correct answer: 10
The mechanical advantage is 10. In a hydraulic press the mechanical advantage equals the output piston area divided by the input piston area, so 20/2=10. Pascal's principle transmits pressure equally through the confined fluid, so the larger piston produces ten times the input force.
Which list correctly identifies three of the basic simple machines?
Engine, battery, and gear
Crankshaft, valve, and flywheel
Lever, pulley, and inclined plane
Spring, magnet, and piston
Correct answer: Lever, pulley, and inclined plane
The lever, pulley, and inclined plane are three of the six classic simple machines, along with the wheel and axle, the wedge, and the screw. These basic devices change the size or direction of a force to make work easier. Engines, batteries, and crankshafts are complex assemblies, not simple machines.
What is the value of −8+5−(−3)?
0
−6
−10
6
Correct answer: 0
The answer is 0. Work left to right with signed numbers: −8+5=−3, and subtracting a negative is the same as adding, so −3−(−3) becomes −3+3, which equals 0.
A ladder is leaned against a wall so that it forms a right triangle. If the ladder reaches 8 feet up the wall and its base is 6 feet from the wall, how long is the ladder?
14 feet
10 feet
12 feet
48 feet
Correct answer: 10 feet
The ladder is 10 feet long. Using the Pythagorean theorem, the hypotenuse equals 82+62, which is 64+36=100=10.
What is 43 of 64?
36
16
48
85
Correct answer: 48
The answer is 48. To find 43 of 64, divide 64 by 4 to get 16, then multiply by 3 to get 48.
If 6 is added to twice a number, the result is 20. What is the number?
3.5
13
10
7
Correct answer: 7
The number is 7. Write the equation 2n+6=20, subtract 6 from both sides to get 2n=14, then divide by 2 to find n=7.
What is the median of the numbers 9, 3, 15, 7, and 11?
9
11
7
15
Correct answer: 9
The median is 9. Arrange the values in order as 3, 7, 9, 11, 15; the middle value of the five numbers is 9.
Multiply: (3×104)×(2×103). What is the result in scientific notation?
6×1012
6×107
5×107
6×106
Correct answer: 6×107
The result is 6×107. Multiply the coefficients (3×2=6) and add the exponents (4+3=7), giving 6×107.
A circle has a radius of 5. What is its area? (Use π=3.14)
15.7
31.4
78.5
25
Correct answer: 78.5
The area is 78.5. Apply the formula area=πr2: 3.14×5×5=3.14×25=78.5.
Solve for x: 4x−3=2x+9.
12
3
2
6
Correct answer: 6
The answer is 6. Subtract 2x from both sides to get 2x−3=9, add 3 to both sides for 2x=12, then divide by 2 to find x=6.
What fraction is equivalent to 0.375?
83
43
31
85
Correct answer: 83
The fraction is 83. The decimal 0.375 equals 1000375, which reduces by dividing numerator and denominator by 125 to give 83.
A cube has edges of length 4 inches. What is its volume?
16 cubic inches
64 cubic inches
48 cubic inches
12 cubic inches
Correct answer: 64 cubic inches
The volume is 64 cubic inches. The volume of a cube is the edge length cubed: 4×4×4=64.
If a quantity decreases from 250 to 200, what is the percent decrease?
50%
25%
20%
80%
Correct answer: 20%
The percent decrease is 20%. The amount of decrease is 250−200=50, and 50 divided by the original 250 equals 0.20, or 20%.
What is the value of ∣−12∣+∣7∣?
−19
−5
5
19
Correct answer: 19
The answer is 19. The absolute value of −12 is 12 and the absolute value of 7 is 7, so 12+7=19.
Three consecutive integers add up to 48. What is the largest of the three?
17
15
16
18
Correct answer: 17
The largest is 17. If the integers are n, n+1, and n+2, their sum 3n+3=48 gives 3n=45 and n=15, so the integers are 15, 16, and 17, with 17 being the largest.
What is the slope of the line passing through the points (1,2) and (4,11)?
31
3
9
−3
Correct answer: 3
The slope is 3. Slope equals the change in y over the change in x: (11−2) divided by (4−1)=39=3.
A coin is flipped twice. What is the probability of getting heads both times?
31
21
41
32
Correct answer: 41
The probability is 41. Each flip has a 21 chance of heads, and for two independent flips you multiply: 21×21=41.
Simplify the expression: 3(2x+4)−5x.
11x+12
6x+12
x+4
x+12
Correct answer: x+12
The simplified expression is x+12. Distribute to get 6x+12, then combine 6x−5x to get x, leaving x+12.
A worker earns $18 per hour and gets time-and-a-half for any hours beyond 40 in a week. What is the pay for a 44-hour week?
$828
$792
$720
$846
Correct answer: $828
The pay is $828. The first 40 hours pay 40×18=720 dollars, and the 4 overtime hours pay 4×(18×1.5)=4×27=108 dollars, for a total of 720+108=828 dollars.
What is 54 written as a percent?
45%
80%
40%
75%
Correct answer: 80%
The answer is 80%. Dividing 4 by 5 gives 0.8, and multiplying by 100 converts it to 80%.
A right circular cylinder has a radius of 3 and a height of 10. What is its volume? (Use π=3.14)
188.4
94.2
282.6
942
Correct answer: 282.6
The volume is 282.6. Use volume=πr2h: 3.14×3×3×10=3.14×90=282.6.
If 7x=56, what is the value of x+4?
4
8
60
12
Correct answer: 12
The answer is 12. Dividing 56 by 7 gives x=8, and adding 4 yields 8+4=12.
What is the greatest common factor of 24 and 36?
12
6
4
72
Correct answer: 12
The greatest common factor is 12. The largest number that divides evenly into both 24 and 36 is 12, since 24=12×2 and 36=12×3.
A store marks up an item that costs $50 by 30%. What is the selling price?
$80
$65
$53
$35
Correct answer: $65
The selling price is $65. A 30% markup on $50 adds 0.30×50=15 dollars, so the price becomes 50+15=65 dollars.
Read the passage, then answer the question.
The quartermaster argued that the ship should carry a surplus of spare parts on long deployments. Critics countered that excess cargo wasted limited storage and slowed the vessel. The quartermaster replied that a single missing component could strand a ship for weeks, while a few extra crates cost only space. The savings of running lean, he insisted, vanished the moment a critical failure occurred far from any port.
What is the main idea of this passage?
Carrying spare parts on deployment is wasteful and should be minimized
Quartermasters and critics rarely agree about cargo decisions
Ships should never deploy on long missions without a nearby port
The risk of a critical failure justifies carrying surplus spare parts despite the storage cost
Correct answer: The risk of a critical failure justifies carrying surplus spare parts despite the storage cost
The main idea is that the risk of a critical failure justifies carrying surplus spare parts despite the storage cost. The quartermaster's central argument is that a missing component can strand a ship while extra crates only cost space, so the apparent savings of running lean disappear when a failure happens far from port. The other choices either restate the critics' view, overgeneralize about ports, or focus on a minor point of disagreement rather than the passage's central claim.
Read the passage, then answer the question.
Urban beekeeping has surged in popularity over the past decade. Rooftops, balconies, and community lots that once sat empty now host hives. City flowers, drawn from a wide mix of gardens and parks, often give urban honey a more varied flavor than rural honey from a single crop. Surprisingly, studies have found that bees in some cities thrive better than their countryside counterparts, where pesticide-heavy monocultures dominate.
Which statement can be inferred from the passage?
Urban honey always tastes better than rural honey
Pesticide use in some rural areas can make conditions harder for bees than city environments
Rooftops are the only suitable place for city hives
Beekeeping was illegal in cities until the past decade
Correct answer: Pesticide use in some rural areas can make conditions harder for bees than city environments
It can be inferred that pesticide use in some rural areas can make conditions harder for bees than city environments. The passage notes bees in some cities thrive better than countryside bees where pesticide-heavy monocultures dominate, implying those rural conditions are more difficult. The passage says urban honey is more varied, not always better; it lists rooftops as one of several locations; and it never addresses legality.
Read the passage, then answer the question.
The seemingly chaotic flight of a bat is in fact a precise navigational feat. By emitting rapid bursts of sound and listening for the echoes, a bat builds a detailed map of its surroundings in total darkness. This biological sonar, called echolocation, lets the animal detect an insect the width of a human hair while weaving among branches at high speed.
As used in the passage, the word 'feat' most nearly means:
A quiet sound
A sudden mistake
A remarkable accomplishment
A part of the body
Correct answer: A remarkable accomplishment
In context, 'feat' most nearly means a remarkable accomplishment. The passage frames the bat's flight as a 'precise navigational' achievement that lets it detect tiny prey while weaving among branches, signaling admiration for a skillful act. A sudden mistake contradicts the praising tone, a quiet sound confuses 'feat' with the unrelated word 'feet' as a sound, and a part of the body misreads the homophone rather than the meaning in context.
Read the passage, then answer the question.
The new training officer replaced the old policy of grouping all recruits into a single class. Instead, she sorted them by prior experience, giving advanced recruits harder drills while beginners reviewed fundamentals. Within a month, both groups improved faster than any class had under the old system. Even recruits who had once lagged now kept pace, because they were no longer rushed past material they had not mastered.
Why did the lagging recruits improve under the new system?
They were no longer rushed past fundamentals before mastering them
They were given less material to learn overall
They were grouped with the advanced recruits
The training officer reduced the length of the course
Correct answer: They were no longer rushed past fundamentals before mastering them
The lagging recruits improved because they were no longer rushed past fundamentals before mastering them. The passage states beginners reviewed fundamentals and recruits who once lagged kept pace because they were not pushed past unmastered material. The passage does not say they received less material overall, and the sorting separated beginners from advanced recruits rather than combining them; course length is never mentioned.
Read the passage, then answer the question.
Mangrove forests grow where land meets sea, their tangled roots rising from salty mud. These roots trap sediment and slow incoming waves, shielding coastlines from erosion and storm surge. Beyond protecting shores, mangroves serve as nurseries for fish and store carbon at rates that rival or exceed those of tropical rainforests. Yet clearing for shrimp farms and development has destroyed vast stretches of these vital ecosystems.
Which of the following best states the author's purpose?
To argue that shrimp farming should be expanded along coastlines
To explain the many benefits of mangroves and note the threat of their destruction
To compare mangroves unfavorably with tropical rainforests
To describe the taste of fish raised in mangrove nurseries
Correct answer: To explain the many benefits of mangroves and note the threat of their destruction
The author's purpose is to explain the many benefits of mangroves and note the threat of their destruction. The passage details how mangroves prevent erosion, shelter fish, and store carbon, then warns that clearing has destroyed vast stretches. It does not advocate expanding shrimp farms, it presents mangroves favorably alongside rainforests rather than below them, and it never discusses the taste of fish.
Read the passage, then answer the question.
The ship's log noted that the storm 'abated' just after midnight, and the watch officer ordered the crew to resume routine duties on deck. The seas, which had pitched the vessel violently for hours, settled into a steady swell, and the wind dropped to a moderate breeze.
As used in the passage, the word 'abated' most nearly means:
Grew stronger
Lessened in intensity
Changed direction
Remained constant
Correct answer: Lessened in intensity
In context, 'abated' most nearly means lessened in intensity. The passage shows the seas settling and the wind dropping to a moderate breeze after the storm abated, signaling a reduction. Grew stronger is the opposite of what follows, changed direction describes the wind's path rather than its strength, and remained constant contradicts the clear shift from violent to calm conditions.
Read the passage, then answer the question.
Many people believe that goldfish have a memory of only a few seconds, but research tells a different story. In controlled experiments, goldfish learned to push a lever for food and remembered the task months later. They can be trained to navigate mazes and even distinguish between different musical pieces. The myth of the three-second memory likely persists because it offers a convenient excuse for keeping fish in small, bare bowls.
What is the author's main point?
Goldfish are difficult animals to train
Goldfish prefer certain musical pieces over food
Goldfish should always be kept in small bowls
Goldfish have far better memories than the popular myth suggests
Correct answer: Goldfish have far better memories than the popular myth suggests
The author's main point is that goldfish have far better memories than the popular myth suggests. The passage cites experiments showing goldfish remember tasks for months, navigate mazes, and distinguish music, directly refuting the three-second claim. The evidence shows goldfish are trainable rather than difficult, the author criticizes small bowls rather than endorsing them, and the music detail illustrates memory rather than a preference over food.
Read the passage, then answer the question.
The report opened with a confident summary, but the data buried in its appendix told a more cautious story. While the summary claimed the new fuel additive 'consistently' improved engine efficiency, the appendix showed gains only under laboratory conditions, with negligible effects in real-world testing. A careful reader comparing the two sections would notice the gap between the report's tone and its evidence.
Which statement is best supported by the passage?
The appendix contained no useful information
The fuel additive improved efficiency in all real-world tests
The summary overstated the benefits relative to the actual data
Laboratory conditions and real-world conditions produced identical results
Correct answer: The summary overstated the benefits relative to the actual data
The passage best supports the statement that the summary overstated the benefits relative to the actual data. The summary claimed consistent improvement, but the appendix revealed gains only in the lab with negligible real-world effects, creating a gap between tone and evidence. The additive did not improve all real-world tests, the appendix held the meaningful data, and lab and real-world results clearly differed.
Read the passage, then answer the question.
The ancient Roman road network stretched across the empire, totaling tens of thousands of miles. These roads were engineered in layers, with a foundation of large stones topped by gravel and a paved surface that allowed water to drain. So durable was this construction that some Roman roads remain visible today, and a few still support local traffic nearly two thousand years after they were built.
Which detail from the passage supports the idea that Roman roads were exceptionally durable?
The roads stretched tens of thousands of miles
The roads connected distant parts of the empire
Some roads still support local traffic nearly two thousand years later
The roads were built with a paved surface
Correct answer: Some roads still support local traffic nearly two thousand years later
The detail that some roads still support local traffic nearly two thousand years later supports the idea of exceptional durability. Continued use after two millennia is direct evidence that the construction has lasted. The total mileage and the connections across the empire speak to scale and reach, not longevity, and the paved surface alone describes a feature without proving how long it endured.
Read the passage, then answer the question.
A pilot's preflight inspection is not a formality to be rushed. Each item on the checklist guards against a specific failure that could prove catastrophic in the air. Skipping even a minor check, such as confirming the security of a fuel cap, has on rare occasions led to disaster. The discipline of the checklist exists precisely because human memory, under pressure, is unreliable.
Why, according to the passage, does the checklist discipline exist?
Because human memory is unreliable under pressure
Because pilots enjoy following routines
Because regulations require lengthy paperwork
Because fuel caps are the most important part of an aircraft
Correct answer: Because human memory is unreliable under pressure
According to the passage, the checklist discipline exists because human memory is unreliable under pressure. The final sentence states this directly as the reason for relying on a checklist rather than recall. The passage does not claim pilots enjoy routines or that paperwork drives the practice, and the fuel cap is cited only as an example of a minor check, not as the most important part of the aircraft.
Read the passage, then answer the question.
When the harbor authority installed underwater microphones, it expected to record the hum of ship engines. Instead, the recordings captured an unexpected chorus: snapping shrimp, grunting fish, and the eerie songs of distant whales. The data revealed that the harbor, long thought of as a noisy industrial zone, was also a thriving acoustic community of marine life that researchers had largely overlooked.
Which statement best describes the author's tone?
Discouraged and pessimistic
Intrigued by an unexpected discovery
Angry about industrial noise
Indifferent to the research results
Correct answer: Intrigued by an unexpected discovery
The author's tone is best described as intrigued by an unexpected discovery. Words like 'unexpected chorus,' 'eerie songs,' and 'thriving acoustic community' convey fascination with sounds the researchers had overlooked. The passage is not discouraged or pessimistic, it does not express anger at industrial noise, and the detailed, wondering description rules out indifference.
Read the passage, then answer the question.
The debate over remote work often assumes a single right answer. In reality, the best arrangement depends on the task. Work requiring deep, uninterrupted concentration may flourish at home, while projects that thrive on spontaneous collaboration may suffer outside a shared space. Rather than choosing one model for everyone, organizations may serve their people best by matching the setting to the nature of the work.
What is the main idea of the passage?
Remote work is always more productive than office work
Spontaneous collaboration is impossible to achieve remotely
The ideal work arrangement depends on the type of task involved
Organizations should require everyone to work in the office
Correct answer: The ideal work arrangement depends on the type of task involved
The main idea is that the ideal work arrangement depends on the type of task involved. The passage rejects a single right answer and argues that concentration work suits home while collaborative work suits shared space, urging organizations to match setting to task. It does not claim remote work is always better, does not call remote collaboration impossible, and does not endorse a universal office mandate.
Read the passage, then answer the question.
The phrase 'a watershed moment' is often used to describe a turning point after which things are never the same. The term comes from geography, where a watershed is the ridge that divides two drainage basins; rain falling on one side flows to one river, while rain on the other flows somewhere entirely different. The metaphor captures how a single decisive event can send the future in a wholly new direction.
As used in the passage, the phrase 'a watershed moment' most nearly means:
A moment of heavy rainfall
A decisive turning point
A geographic survey
A minor delay
Correct answer: A decisive turning point
In context, 'a watershed moment' most nearly means a decisive turning point. The passage defines it as a moment after which things are never the same and explains the metaphor of water diverging in new directions. A moment of heavy rainfall and a geographic survey take the watershed literally rather than as a figure of speech, and a minor delay contradicts the idea of a momentous, future-changing event.
Read the passage, then answer the question.
The shipping company switched from many small deliveries to a few large consolidated shipments. Fuel costs per item dropped sharply, and the number of trucks on the road fell. But customers complained that orders now arrived less frequently, forcing them to hold larger inventories. The company had traded one kind of cost for another, lowering its own expenses while shifting a burden onto its clients.
Which statement best captures the outcome described in the passage?
The new system eliminated all costs for everyone
Fuel costs per item increased under the new system
Customers benefited the most from the new shipping system
The company reduced its own costs but created new burdens for customers
Correct answer: The company reduced its own costs but created new burdens for customers
The passage best captures that the company reduced its own costs but created new burdens for customers. It lowered fuel costs and trucks while customers had to hold larger inventories because of less frequent deliveries. The system did not eliminate all costs, customers were burdened rather than benefited most, and fuel costs per item dropped rather than increased.
Read the passage, then answer the question.
For centuries, sailors prized the albatross as a sign of good fortune, believing the great bird's presence promised safe passage. Modern biologists, less concerned with omens, marvel at the albatross for a different reason: it can glide for hours, even days, without flapping its wings, using subtle differences in wind speed near the ocean surface to stay aloft with almost no effort.
How do the sailors' and biologists' views of the albatross differ?
Sailors feared the bird, while biologists admire it
Both groups studied the bird's wind-gliding technique
Sailors valued it as a good omen, while biologists admire its efficient gliding
Biologists believed the bird brought good fortune
Correct answer: Sailors valued it as a good omen, while biologists admire its efficient gliding
The views differ in that sailors valued the albatross as a good omen, while biologists admire its efficient gliding. The passage contrasts the sailors' belief in safe passage with the biologists' fascination for the bird's effortless, days-long flight. Sailors prized rather than feared it, the gliding study belongs to biologists alone, and it is the sailors, not biologists, who associated the bird with good fortune.
Read the passage, then answer the question.
The young officer's first instinct was to issue orders the moment a problem arose. Over time, she learned a harder lesson: that pausing to gather information often led to faster solutions than acting at once. The crew, sensing that her decisions now rested on understanding rather than reflex, grew more willing to bring her early warnings of trouble before small issues became large ones.
Which statement can be inferred about the officer's growth?
Her shift toward deliberate decisions improved her crew's trust and communication
She stopped giving orders altogether
Her crew preferred her original quick-reaction style
Gathering information always slowed her down
Correct answer: Her shift toward deliberate decisions improved her crew's trust and communication
It can be inferred that her shift toward deliberate decisions improved her crew's trust and communication. The passage says the crew, sensing decisions rested on understanding, grew more willing to bring early warnings, indicating greater trust. She still made decisions rather than stopping orders, the crew responded better to the new approach rather than preferring the old one, and the passage says gathering information often led to faster solutions, not consistent delay.
Read the passage, then answer the question.
The documentary opened with sweeping shots of pristine wilderness and a narrator praising the region's untouched beauty. Only halfway through did the film reveal its purpose: to expose a proposed mining project that threatened the very landscapes the opening had celebrated. By first making viewers fall in love with the place, the filmmakers ensured that the later revelation of danger would land with greater force.
Why did the filmmakers open with images of untouched beauty?
To fill time before the documentary's real content began
To advertise the region as a tourist destination
To prove that mining causes no harm
To make the later revelation of the mining threat more powerful
Correct answer: To make the later revelation of the mining threat more powerful
The filmmakers opened with images of untouched beauty to make the later revelation of the mining threat more powerful. The passage explains that making viewers love the place ensured the danger would land with greater force. The opening was not a tourism advertisement, the film exposes rather than excuses mining harm, and the beauty shots were a deliberate strategy, not mere filler.
Read the passage, then answer the question.
Caffeine works not by adding energy but by masking fatigue. The brain produces a chemical called adenosine that gradually builds up and signals tiredness. Caffeine blocks the receptors that detect adenosine, so the brain stops registering the fatigue signal even though the chemical is still present. When the caffeine wears off, the accumulated adenosine floods back, which is why a crash often follows.
According to the passage, why does a crash often follow caffeine use?
The accumulated adenosine floods back once the caffeine wears off
Caffeine permanently destroys adenosine in the brain
Caffeine adds energy that is quickly used up
The brain stops producing adenosine entirely
Correct answer: The accumulated adenosine floods back once the caffeine wears off
According to the passage, a crash follows because the accumulated adenosine floods back once the caffeine wears off. The passage explains caffeine merely blocks receptors while adenosine keeps building, so the buildup registers all at once afterward. Caffeine does not destroy adenosine, it masks rather than adds energy, and the brain continues producing adenosine throughout.
Read the passage, then answer the question.
The city's old bridge had become a bottleneck, and engineers proposed two solutions. One faction favored widening the existing structure, a cheaper option that would disrupt traffic for a year. The other pushed for a new parallel bridge, which cost far more but would keep traffic flowing during construction. The council ultimately chose the costlier path, reasoning that a year of gridlock would itself impose hidden costs on the local economy.
Why did the council choose the more expensive option?
A year of traffic disruption would impose hidden costs on the economy
It was the cheaper of the two options
Widening the bridge was impossible to engineer
The new bridge required no construction at all
Correct answer: A year of traffic disruption would impose hidden costs on the economy
The council chose the more expensive option because a year of traffic disruption would impose hidden costs on the economy. The passage states this reasoning directly, weighing gridlock's economic toll against the higher price. The chosen bridge was the costlier, not cheaper, option; widening was presented as feasible rather than impossible; and the new bridge still required construction, just without halting traffic.
Read the passage, then answer the question.
The essay argued that silence is a skill as important as speech. A leader who fills every pause with words, the author wrote, may seem confident but often misses what others are trying to say. By contrast, a leader comfortable with silence invites quieter members of a team to speak and signals that their contributions are genuinely wanted. The most persuasive voice, the essay concluded, sometimes belongs to the one who knows when not to use it.
What is the central message of the essay?
Leaders should speak as much as possible to appear confident
Persuasion depends entirely on the volume of one's voice
Quiet team members rarely have valuable ideas
Knowing when to stay silent can make a leader more effective
Correct answer: Knowing when to stay silent can make a leader more effective
The central message is that knowing when to stay silent can make a leader more effective. The essay argues silence invites quieter members to speak and that the most persuasive voice may belong to one who knows when not to use it. It rejects constant speaking, values quiet members' contributions, and emphasizes restraint rather than volume.
Read the passage, then answer the question.
The explorer's journal grew increasingly terse as the expedition wore on. Early entries ran for pages, rich with descriptions of landscapes and wildlife. By the final weeks, each day merited only a few clipped words: distances marched, rations remaining, weather endured. The shrinking entries, more than any single statement, conveyed how exhaustion had stripped the journey down to bare survival.
What does the change in the journal entries suggest?
Growing exhaustion reduced the journey to a matter of survival
The explorer lost interest in writing as a hobby
The landscape became less interesting over time
The explorer ran out of paper for the journal
Correct answer: Growing exhaustion reduced the journey to a matter of survival
The change in the journal entries suggests that growing exhaustion reduced the journey to a matter of survival. The passage states the shrinking entries conveyed how exhaustion stripped the journey down to bare survival, with late entries listing only distances, rations, and weather. The shift reflects physical strain rather than lost interest in a hobby, a duller landscape, or a shortage of paper.
A worker carries a heavy bucket on the end of a uniform horizontal plank that rests on two supports. To reduce the load felt by the support nearest the bucket, the worker should:
Move the bucket closer to the far support
Move the bucket directly over the near support
Hang a second equal bucket beside the first
Replace the plank with a heavier one
Correct answer: Move the bucket closer to the far support
The correct answer is moving the bucket closer to the far support. On a plank resting on two supports, each support carries a share of the load proportional to the load's distance from the opposite support. Shifting the bucket toward the far support lengthens its lever arm about the far support and shortens it about the near support, so the near support carries less of the weight.
A vehicle climbs a steep hill in low gear rather than high gear. Low gear helps because it:
Increases both the speed and the torque at the wheels
Increases the torque delivered to the wheels at the cost of speed
Reduces the engine's fuel consumption to nearly zero
Lets the wheels turn faster than the engine
Correct answer: Increases the torque delivered to the wheels at the cost of speed
The correct answer is that low gear increases torque at the wheels at the cost of speed. A low gear is a large gear reduction: the wheels turn slower than the engine but with multiplied turning force, which is the extra torque needed to overcome gravity on a climb.
A 100-pound load is lifted using an inclined plane 12 feet long that rises 3 feet. Ignoring friction, the ideal effort needed to slide the load up the ramp is about:
50 pounds
75 pounds
25 pounds
300 pounds
Correct answer: 25 pounds
The correct answer is about 25 pounds. The ideal mechanical advantage of a ramp equals its length divided by its height, here 12/3=4. The required effort equals the load divided by that advantage, so 100/4=25 pounds.
Two pipes of different diameters carry the same steady volume of water per second. Compared with the wide pipe, water in the narrow pipe moves:
Slower
At the same speed
Backward
Faster
Correct answer: Faster
The correct answer is faster. For a steady flow, the same volume must pass each point per second, so where the cross-section is smaller the fluid must speed up to keep the volume moving. This continuity principle means the narrow pipe forces a higher water speed.
A spinning bicycle wheel resists being tilted to a new orientation and tends to keep its axis pointed the same way. This stabilizing behavior of a spinning mass is called:
The gyroscopic effect
The Bernoulli effect
Capillary action
The Coriolis force
Correct answer: The gyroscopic effect
The correct answer is the gyroscopic effect. A rapidly spinning wheel has angular momentum that resists changes to the direction of its spin axis, which is why a moving bicycle stays upright more easily than a stationary one.
A nut is being tightened with a wrench. Compared with pushing straight along the handle toward the bolt, applying the same force perpendicular to the handle produces:
Less torque on the nut
More torque on the nut
The same torque on the nut
No torque at all on the nut
Correct answer: More torque on the nut
The correct answer is more torque on the nut. Torque depends on the component of force acting at right angles to the handle; a perpendicular push uses the full lever arm, while a push aimed along the handle toward the bolt produces almost no turning effect.
A wheel and axle is used to raise a bucket from a well. To make raising the bucket easier with less effort, you should:
Use a smaller wheel turning a larger axle
Make the wheel and axle the same diameter
Use a larger wheel turning a smaller axle
Add weight to the wheel's rim
Correct answer: Use a larger wheel turning a smaller axle
The correct answer is to use a larger wheel turning a smaller axle. In a wheel and axle, mechanical advantage equals the wheel's radius divided by the axle's radius, so a big wheel on a small axle multiplies your effort and lifts the load more easily.
Two boxes slide down identical frictionless ramps. Box A weighs twice as much as box B. When they reach the bottom, their speeds are:
Box A is twice as fast
Box B is twice as fast
Box A is four times as fast
Equal
Correct answer: Equal
The correct answer is that their speeds are equal. On a frictionless ramp, the speed gained depends only on the vertical drop, not on the mass. Both boxes fall the same height and accelerate at the same rate, so they reach the bottom with the same speed.
A belt connects a small pulley on a motor to a large pulley on a fan. As the belt runs, the large fan pulley turns:
Slower than the motor pulley
Faster than the motor pulley
At the same speed as the motor pulley
In the opposite direction along the belt
Correct answer: Slower than the motor pulley
The correct answer is slower than the motor pulley. A belt moves the rims of both pulleys at the same linear speed, so the larger pulley, having a bigger circumference, completes fewer turns per minute and rotates more slowly than the small driving pulley.
A solid steel ball and a hollow steel ball have the same outside diameter. Dropped together in a vacuum, they will:
The solid ball lands first
Hit the ground at the same time
The hollow ball lands first
Neither will fall without air
Correct answer: Hit the ground at the same time
The correct answer is that they hit the ground at the same time. In a vacuum there is no air resistance, and gravity accelerates all objects equally regardless of mass, so the solid and hollow balls fall together and land simultaneously.
A 200-pound load hangs from a system using one fixed pulley and one movable pulley, giving two supporting rope segments. Ignoring friction, the effort needed to hold the load is about:
200 pounds
50 pounds
100 pounds
400 pounds
Correct answer: 100 pounds
The correct answer is about 100 pounds. With two rope segments supporting the movable pulley, the load is shared between them, halving the required effort. Dividing the 200-pound load by the mechanical advantage of 2 gives 200/2=100 pounds.
Antifreeze is added to a car's radiator water mainly because the mixture, compared with plain water:
Boils at a much lower temperature
Weighs far less per gallon
Conducts electricity better
Freezes at a lower temperature
Correct answer: Freezes at a lower temperature
The correct answer is that the mixture freezes at a lower temperature. Mixing antifreeze with water lowers the freezing point well below that of pure water, preventing the coolant from freezing and cracking the engine in cold weather.
A diver swims deeper underwater and feels increasing pressure on the ears. Water pressure increases with depth because:
The weight of the water above adds up with depth
Water gets colder and denser only near the surface
Sound waves push harder deeper down
There is less salt deeper in the water
Correct answer: The weight of the water above adds up with depth
The correct answer is that the weight of the water above adds up with depth. Each layer of water presses on the layers below it, so the deeper you go, the greater the column of water overhead and the higher the pressure you feel.
A small electric motor spins too fast and with too little turning force for a task. A gear reduction is added to its output shaft. The reduction will:
Raise both the output speed and the output torque
Lower the output speed and raise the output torque
Lower both the output speed and the output torque
Leave speed and torque unchanged
Correct answer: Lower the output speed and raise the output torque
The correct answer is to lower the output speed and raise the output torque. A gear reduction trades speed for force, so the output shaft turns more slowly but delivers greater torque, which is the turning force the task requires.
To pry the lid off a paint can with a flat bar resting on the can's rim, the rim acts as the:
Load
Effort
Fulcrum
Wedge
Correct answer: Fulcrum
The correct answer is the fulcrum. The bar is a lever, the lid is the load lifted at one end, your hand supplies the effort at the other end, and the rim is the fixed pivot point, or fulcrum, about which the bar turns.
A car rounds a flat curve at steady speed. The force that actually keeps the car turning along the curve is supplied by:
The forward push of the engine
Air pressure on the windshield
The weight of the passengers
Friction between the tires and the road
Correct answer: Friction between the tires and the road
The correct answer is friction between the tires and the road. Turning requires a force directed toward the center of the curve, and on a flat road that inward force comes from the grip, or friction, of the tires; without it the car would slide straight ahead.
A thermometer's liquid rises in its thin tube when warmed because the liquid:
Expands and takes up more volume
Becomes denser and sinks lower
Turns into a gas inside the tube
Loses weight as it heats
Correct answer: Expands and takes up more volume
The correct answer is that the liquid expands and takes up more volume. Heating causes the liquid to expand; because the tube is narrow, even a small increase in volume pushes the liquid noticeably higher, giving the temperature reading.
A heavy crate must be slid across a rough floor. Placing several round pipes under the crate and rolling it makes the job easier mainly by:
Reducing the crate's total weight
Replacing sliding friction with rolling friction
Increasing the contact area with the floor
Removing gravity from the crate
Correct answer: Replacing sliding friction with rolling friction
The correct answer is replacing sliding friction with rolling friction. Rolling friction is much smaller than sliding friction, so resting the crate on rollers lets it move with far less resistance even though its weight is unchanged.
A simple pendulum is shortened to half its original length. Its swing will become:
Slower, with a longer period
Unchanged, since only mass matters
Faster, with a shorter period
Completely stopped
Correct answer: Faster, with a shorter period
The correct answer is faster, with a shorter period. A pendulum's period depends on its length: shorter pendulums swing back and forth more quickly. Cutting the length in half makes each swing take less time.
Pressing the brake pedal in a car forces fluid through lines to squeeze the brake pads. The fluid transmits the force well because liquids are:
Easily compressed like a spring
Lighter than the surrounding air
Good electrical insulators
Nearly incompressible
Correct answer: Nearly incompressible
The correct answer is that liquids are nearly incompressible. Because brake fluid barely changes volume under pressure, a push on the pedal is transmitted almost instantly through the lines to the pads, making hydraulic braking responsive and reliable.
A counterweight is attached to a drawbridge so a small motor can raise the heavy span. The counterweight helps mainly by:
Balancing much of the span's weight about the pivot
Adding more total weight for the motor to lift
Increasing friction at the hinge
Making the span lighter overall
Correct answer: Balancing much of the span's weight about the pivot
The correct answer is balancing much of the span's weight about the pivot. The counterweight produces a turning effect opposite to that of the span, so their torques nearly cancel and only a small extra force is needed to swing the bridge.
Two identical springs are joined end to end in a single line and then stretched by a hanging weight. Compared with one spring alone, this end-to-end pair will stretch:
Half as much for the same weight
Twice as much for the same weight
The same amount as one spring
Not at all under the weight
Correct answer: Twice as much for the same weight
The correct answer is twice as much for the same weight. When springs are joined end to end in series, each spring carries the full load and stretches by its own amount, so the total stretch is the sum, which is double that of a single spring.
In a four-stroke engine, the stroke during which the piston moves up and squeezes the fuel-air mixture before ignition is the:
Intake stroke
Power stroke
Compression stroke
Exhaust stroke
Correct answer: Compression stroke
The correct answer is the compression stroke. After intake draws in the fuel-air mixture, the compression stroke moves the piston up to squeeze that mixture into a small space, raising its pressure so it burns forcefully when the spark fires.
To find us again, just search “Career Employer OAR”
When a moving car suddenly stops, passengers lurch forward due to:
Pick an answer to see the explanation
Click Start Test above to launch a full-length OAR practice test weighted like the real ASTB-E academic portion, or drill a single subtest — Math Skills, Reading Comprehension, or Mechanical Comprehension. Every question includes a clear explanation so you learn the reasoning, not just the answer.
The OAR (Officer Aptitude Rating) is the academic portion of the U.S. Navy's Aviation Selection Test Battery (ASTB-E). It is the score used to screen candidates for non-aviation officer programs.
[1][2] The OAR is built from three ASTB-E subtests: Math Skills, Reading Comprehension, and Mechanical Comprehension. Aviation applicants take additional subtests, but non-aviation officer candidates are scored on these three.
Aviation Selection Test Battery, Series E (ASTB-E)
Subtests
Math Skills Test (MST), Reading Comprehension Test (RCT), Mechanical Comprehension Test (MCT)
Questions
87 on the official fixed-form OAR (MST 30 / RCT 27 / MCT 30); the live exam is computer-adaptive with a variable item count
Format
Computer-adaptive, proctored (APEX/Pearson VUE / Navy sites)
Score Range
Scaled t-score 20–80 (40 ≈ average); not pass/fail
Passing Score
Varies by officer program (often 35–50+)
Time
65 minutes total on the fixed form (MST 25 / RCT 25 / MCT 15), each subtest timed separately
Retakes
Up to 3 lifetime attempts; 31- and 91-day waits
What Is on the OAR?
The OAR is built from three ASTB-E subtests: Math Skills, Reading Comprehension, and Mechanical Comprehension.[2]
Math Skills covers arithmetic, algebra, and geometry; Reading Comprehension tests your ability to draw conclusions from passages; and Mechanical Comprehension applies basic physics and mechanical principles.
The live ASTB-E is computer-adaptive, so the exact number of items varies by administration and answers cannot be changed. Our full practice test simulates the official fixed-form OAR — 87 questions split MST 30 / RCT 27 / MCT 30 — which is the most representative published form:
OAR practice weighting by subtest (official fixed-form OAR, 87 items)
Math Skills Test (MST)34% · 30 Qs
Mechanical Comprehension Test (MCT)34% · 30 Qs
Reading Comprehension Test (RCT)31% · 27 Qs
Practice Questions by Subtest
Use Start Test for a full weighted OAR simulation, or open the hub and pick a single subtest to drill your weak spot. After each full exam, your results show a per-subtest breakdown so you know exactly where to focus your remaining study time.
Who Is Eligible to Take the OAR?
You take the OAR as part of applying to a Navy officer program such as Officer Candidate School (OCS) or NROTC, so OAR eligibility tracks with officer-program eligibility.
[4][6] Officer candidates are generally U.S. citizens who hold or are completing a bachelor's degree and meet the program's age and physical standards. There is no separate prerequisite to sit for the OAR itself beyond being a qualified applicant.
[5] Your recruiter or ROTC unit schedules your test once you are in the application pipeline.
How Do You Register for the OAR?
You do not register for the OAR independently — you schedule it through your Navy recruiter, NROTC unit, or an Officer Recruiting Station, which authorizes your seat via APEX/Pearson VUE.
[3] The test is delivered at Navy recruiting districts, NROTC units, Military Entrance Processing Stations, and approved Pearson VUE centers. There is no exam fee for applicants in the official pipeline.
Confirm your testing location, allowed waiting periods, and current requirements with your recruiter, since policies can change.
How Is the OAR Scored?
The OAR is reported as a single scaled score from 20 to 80, combining your performance on the three academic subtests. A score of 40 is roughly the population average.
[2][5] There is no universal passing score — the minimum you need depends on the officer program you are applying to. Many non-aviation pipelines look for at least a 35–40, while competitive boards favor 50 and above.
Because the ASTB-E is computer-adaptive, question difficulty adjusts to your answers, and your scaled score reflects that difficulty rather than a fixed percentage correct.
How Hard Is the OAR?
The Navy does not publish a single official OAR pass rate, partly because the required score varies by program rather than a fixed cutoff.
The OAR is moderately challenging because of its breadth and timing — you move quickly across algebra and geometry, dense reading passages, and applied mechanical physics, each under its own clock.
The difficulty comes from speed and range rather than deep specialization. Strong, timed practice across all three subtests is what separates competitive scores from average ones.
20–80
Scaled score range
40 ≈ average
3
Academic subtests
math, reading, mechanical
3
Lifetime attempts
with mandatory waits
The takeaway: candidates often arrive strong in one area — math, reading, or mechanical — but competitive OAR scores require deliberately raising your weakest subtest under realistic time pressure.
What to Expect on Exam Day
The OAR is a proctored, computer-adaptive test delivered at a Navy recruiting site or Pearson VUE center.[3] Arrive early to check in and bring a valid, unexpired government-issued photo ID. Personal items are stored away; no notes or calculators beyond what the test provides are allowed.
Each subtest is separately timed, so you cannot bank extra minutes from one section to another. Pace yourself, answer what you can quickly, and keep moving — the adaptive engine rewards steady, accurate work.
The Navy processes your results and provides your scaled OAR score. Having simulated the timed, three-subtest format with practice tests makes test day feel routine.
How to Use This OAR Practice Test
Recreate exam conditions. Take the full test timed, with no notes.
Diagnose, then drill. Use a full OAR simulation to find your weakest subtest, then drill it.
Build speed. The OAR rewards quick, accurate work across math, reading, and mechanical.
Review the mechanics. Mechanical Comprehension trips up many candidates — practice the physics basics.
Learn the why. Read every explanation — understanding beats memorizing.
Why Take the OAR?
The OAR is the gateway to commissioning as a U.S. Navy officer through non-aviation programs like OCS and NROTC. A competitive score strengthens your selection board package and opens more program options.[1][4] These free OAR practice tests are the most efficient way to get exam-ready.
Conclusion
A strong OAR comes down to building speed and accuracy across all three subtests rather than leaning on your strongest one. Use this free OAR practice test to find your weak subtest, drill it to mastery, and reinforce it with our study guide, flashcards so you walk in confident on test day.
OAR Practice Test FAQ
The OAR (Officer Aptitude Rating) is the academic portion of the U.S. Navy's Aviation Selection Test Battery (ASTB-E). It is administered by the Navy through Pearson VUE and at Navy recruiting and ROTC sites, and it screens candidates for non-aviation officer programs such as Officer Candidate School.
The OAR is built from three ASTB-E subtests: the Math Skills Test (MST), the Reading Comprehension Test (RCT, also called the Reading Skills Test), and the Mechanical Comprehension Test (MCT). Aviation applicants take additional subtests, but non-aviation officer candidates are scored only on these three.
The OAR is reported on a scaled score from 20 to 80, with 40 as the rough average. There is no universal passing score — the minimum you need depends on the officer program you are applying to, with many programs requiring a 35 to 50 or higher.
Minimum OAR scores vary by program. Many non-aviation officer pipelines look for at least a 35 to 40, while competitive programs and selection boards favor scores of 50 and above, so confirm the current requirement with your recruiter.
On the official fixed-form OAR, the three subtests total 87 questions in 65 minutes — Math Skills (30 items / 25 min), Reading Comprehension (27 / 25 min), and Mechanical Comprehension (30 / 15 min). The live ASTB-E is computer-adaptive, so the exact number of items varies by administration.
Yes. You may retake the ASTB-E, but the Navy limits attempts and enforces waiting periods between them — generally a 31-day wait before a second attempt and 91 days before a third, with three lifetime attempts. Plan to be ready, since scores follow you.
No. The ASVAB is the enlistment aptitude battery, while the OAR is the academic component of the officer-focused ASTB-E. They are separate tests used for different commissioning and enlistment paths.
Candidates pursuing non-aviation Navy officer roles — through Officer Candidate School, NROTC, or similar programs — take the OAR. Applicants seeking aviation roles take the full ASTB-E, which includes the OAR subtests plus aviation-specific sections.
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