OAT Domain 4: Quantitative Reasoning Welcome to your OAT Domain 4: Quantitative Reasoning 1. OAT: Quantitative Reasoning If the ratio of the radius of two circles is 1:3, what is the ratio of their areas? 1:03 1:09 3:01 9:01 None 2. OAT: Quantitative Reasoning A train travels 160 miles in 2 hours and 40 minutes. What is the average speed of the train in miles per hour? 60 mph 50 mph 65 mph 70 mph None 3. OAT: Quantitative Reasoning What is the sum of the infinite geometric series where the first term is 12 and the common ratio is 1/3? 18 20 24 36 None 4. OAT: Quantitative Reasoning If \(f(x) = x^2 + 2x - 3\) and \(g(x) = 2x - 1\), what is \(f(g(2))\)? 7 11 15 19 None 5. OAT: Quantitative Reasoning A bag contains 4 red, 3 blue, and 5 green marbles. If three marbles are drawn at random, what is the probability that they are all green? 22-Jan Jan-33 Jan-44 Jan-55 None 6. OAT: Quantitative Reasoning If \(x\) and \(y\) are integers such that \(4x - 3y = 5\), which of the following could be the value of \(3x - 4y\)? -1 1 5 9 None 7. OAT: Quantitative Reasoning A right triangle has sides 3 cm, 4 cm, and 5 cm. If the shortest side is doubled, what is the new area of the triangle? 6 cm^2 12 cm^2 24 cm^2 30 cm^2 None 8. OAT: Quantitative Reasoning What is the 7th term in the arithmetic sequence where the first term is 3 and the common difference is 5? 33 35 38 40 None 9. OAT: Quantitative Reasoning The volume of a cylinder is given by the formula \(V = \pi r^2 h\). If the radius is halved and the height is doubled, what is the effect on the volume of the cylinder? It remains the same. It is halved. It is doubled. It is quadrupled. None 10. OAT: Quantitative Reasoning A rectangle has a length that is twice its width. If the area of the rectangle is 288 square meters, what is its perimeter? 24 m 48 m 68 m 72 m None 11. OAT: Quantitative Reasoning What is the sum of the roots of the quadratic equation \(x^2 - 5x + 6 = 0\)? 1 5 6 11 None 12. OAT: Quantitative Reasoning How many different four-letter sequences can be formed from the letters A, B, C, D, and E if no letter may be used more than once? 120 360 24 625 None 13. OAT: Quantitative Reasoning If a cube's surface area is 150 square centimeters, what is the length of one side of the cube? 5 cm 7.5 cm 12.5 cm 25 cm None 14. OAT: Quantitative Reasoning In a certain sequence, the third term is 9 and each subsequent term is the sum of all previous terms. What is the fifth term? 37 76 65 28 None 15. OAT: Quantitative Reasoning If \(3x - 4y = 18\) and \(x + y = 7\), what is the value of \(x\)? 3 5 6 7 None 16. OAT: Quantitative Reasoning What is the median of the data set \(3, 7, 9, 12, 14, 16, 18\)? 12 14 9 16 None 17. OAT: Quantitative Reasoning If a triangle has angles in the ratio 2:3:4, what is the measure of the largest angle? 60 degrees 72 degrees 80 degrees 90 degrees None 18. OAT: Quantitative Reasoning A circle is inscribed in a square. If the area of the square is 64 square units, what is the area of the circle? 16\pi 32\pi 48\pi 64\pi None 19. OAT: Quantitative Reasoning What is the sum of the infinite geometric series where the first term is 12 and the common ratio is 1/3? 18 20 24 36 None 20. OAT: Quantitative Reasoning How many different four-letter sequences can be formed from the letters A, B, C, D, and E if no letter may be used more than once? 120 360 24 625 None 1 out of 20 Time is Up! Time's up
