Quantitative comparisons practice This file contains 621 quantitative comparison questions with full answers and explanations! The questions were written and answered by professional test prep teachers and designed to give you the best practice possible. Good luck on your test. Broaden your mind, the shortest key to reach your success 1. A: Distance from runner A to Runner B after 9 hours of running at a constant rate B: 45 kilometers AI: Runner A and runner B start running from the same spot. The first runs south at a rate of 3 kilometers per hour and the second runs west at a rate of 4 kilometers per hour. The best answer is C. The runners actually form a triangle, where the hypotenuse is the distance between them and the sides of the triangle are (9 x 3 = 27) and (9 x 4 = 36). The distance between them will be 27 36 45 2 2 + = kilometers. 2. A: The distance between car X and car Y after 3 minutes. B: The distance between car X and car Z after 2 minutes. AI: Three cars leave from the same place at different directions. Car X travels north at a rate of 1 Km per minute, car Y travels west at a rate of 3 1 1 km per minute and car Z travels south at a rate of 2 Km per minute. The best answer is B. Calculate the distances of A and B. A: The two cars form a triangle where the distance is the hypotenuse. After three minutes car X traveled 3 Km while car Y traveled 4 Km, the hypotenuse will be 5 Km, which is the value of column A. B: Each car is traveling in a different direction and therefore the distance between the cars is the sum of both distances. Car X traveled 2 Km and Car Z traveled 4, the total is 6 Km, which is greater than column A. Lines and angles 3. A: B B: A + C AI: A, B and C are three angles as drawn. M and l are parallel lines. The best answer is C. The easiest way to see that the columns are equal is to draw another parallel line that crosses the angle B. The upper angle that the line forms is equal to A and the lower angle is equal to C, both complete the angle B. 45 A l C B A mm 45 4. A: x + z. B: 135 degrees. AI: In the drawing above, x, z and 45 are angles. r and t are parallel lines. The best answer is C. 45 is a vertical angle to the triangle and therefore the sum x + z + 45 = 180. We can also write the equation: 45 = 180 – x – z è x + z = 180 – 35 = 135. The columns are equal. 5. A: z + y B: 360 – (x + y) AI: k and p are two parallel lines. x, z and y are angles. The best answer is C. The line that crosses the two parallel lines is a transversal line and so x + y =180 and x is equal to z (vertical angles). A = z + y = x + y = 180. B = 360 – (x + y) = 360 – (180) = 180. And therefore the answer is C. Triangles 6. A: 7 B: The length of the third side AI: The length of two sides of a triangle is 16 and 9 The best answer is B. Any side of a triangle must be greater than the difference of the other two sides and therefore the third side is greater than the difference (16 – 9 = 7). 7. A: 2 B: The ratio of the diagonal to a side of a rectangle The best answer is D. Only in a square the ratio is 1:1: 2 , since this is a rectangle and not a square the ratio cannot be distinctly determined. r t x z y x z k p