Quantitative Ability Quiz - Competitive Exams CAT

Free practice quiz: Quantitative Ability (Competitive Exams CAT). 50 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Competitive Exams CAT practice quiz has 50 multiple-choice questions on Quantitative Ability. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. If x + 1/x = 3, what is the value of x^3 + 1/x^3?

   1. 15
   2. 18
   3. 27
   4. 21
   Show answer

   Answer: B. 18

2. A cone and a cylinder have the same base radius and height. The ratio of their volumes (cone : cylinder) is:

   1. 1:1
   2. 1:3
   3. 1:2
   4. 2:3
   Show answer

   Answer: B. 1:3

3. The value of √(6 + √(6 + √(6 + ...))) is:

   1. 2
   2. 3
   3. 5
   4. 4
   Show answer

   Answer: B. 3

4. What is the compound interest on ₹1000 for 2 years at 10% per annum, compounded annually?

   1. D) ₹240
   2. B) ₹210
   3. A) ₹200
   4. C) ₹220
   Show answer

   Answer: B. B) ₹210

5. The range of the function f(x) = x² - 4x + 5 is:

   1. C) [0, ∞)
   2. D) (-∞, ∞)
   3. B) [2, ∞)
   4. A) [1, ∞)
   Show answer

   Answer: D. A) [1, ∞)

More questions in this quiz

Answers and explanations are in the full quiz.

1. The sum of the first 50 positive even integers is:
2. A train 150 meters long crosses a platform 300 meters long in 30 seconds. What is the speed of the train in km/hr?
3. If log₁₀ 2 = 0.3010, then the number of digits in 2^50 is:
4. A and B can complete a work in 12 days and 18 days respectively. If they work together, in how many days will the work be completed?
5. What is the remainder when 7^100 is divided by 5?
6. The number of ways to arrange the letters of the word 'EXAM' such that vowels are together is:
7. If the roots of the equation x² - kx + 9 = 0 are equal, then k is:
8. A sum of money doubles itself in 8 years at simple interest. In how many years will it become four times?
9. The value of (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/10) is:
10. If a = 2 + √3, then a² + 1/a² equals:
11. In how many ways can 5 people be seated around a circular table?
12. The arithmetic mean of first n natural numbers is 15. What is n?
13. Two dice are thrown. What is the probability that the sum of numbers is 8?
14. If 2x + 3y = 12 and 3x + 2y = 13, then x + y equals:
15. The number of integers between 100 and 1000 that are divisible by 7 is:
16. A shopkeeper marks an item 40% above cost and gives a discount of 25%. His profit percentage is:
17. The area of an equilateral triangle with side 6 cm is:
18. If f(x) = x² + 2x + 1, then f(f(1)) is:
19. A man rows downstream 32 km in 4 hours and upstream 12 km in 4 hours. The speed of the stream is:
20. If the angles of a triangle are in the ratio 2:3:4, the smallest angle is:
21. The coordinates of a point that divides the line segment joining (2,3) and (6,7) internally in ratio 1:1 is:
22. The sum of the infinite geometric series 1 + 1/3 + 1/9 + 1/27 + ... is:
23. What is the value of the expression (2^5 × 5^4) / 10^3?
24. If a quadratic equation has roots 3 and -2, which of the following is the equation?
25. The product of two numbers is 216 and their sum is 30. What is the sum of their reciprocals?
26. If 5 men can complete a job in 12 days by working 8 hours a day, how many days will 8 men take to complete the same job working 10 hours a day?
27. The value of sin 30° cos 60° + cos 30° sin 60° is:
28. The determinant of the matrix [[1, 2], [3, 4]] is:
29. If a bag contains 4 red, 5 green, and 6 blue balls, what is the probability of drawing a ball that is neither red nor green?
30. The equation of a line passing through (0,0) and perpendicular to the line 3x + 4y = 12 is:
31. What is the value of the limit as x approaches 0 of (sin 5x) / x?
32. If a cylinder has its radius doubled and height halved, what is the ratio of the new volume to the original volume?
33. The value of the expression C(10,2) - C(10,8) is:
34. In an arithmetic progression, the 5th term is 17 and the 9th term is 33. What is the first term?
35. If 3^(x+1) = 9^(x-1), what is the value of x?
36. What is the greatest common divisor of 48 and 36?
37. If the sum of the first n terms of an AP is 3n² + 5n, what is the 10th term?
38. A ladder 10 meters long leans against a wall. If the bottom of the ladder is 6 meters from the wall, how high up the wall does the ladder reach?
39. The value of ∫ from 0 to 1 of (3x² + 2x) dx is:
40. In how many ways can you choose a committee of 3 people from a group of 7?
41. If the slope of a line is -2 and it passes through (3, 4), what is its equation?
42. The value of (1 + i)^2, where i = √(-1), is:
43. If the ratio of the areas of two similar triangles is 9:16, what is the ratio of their corresponding sides?
44. What is the sum of the interior angles of a regular hexagon?
45. The value of the expression (x^3 - y^3) / (x - y) when x ≠ y is:

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