Quantitative Techniques Quiz - Competitive Exams CLAT

Free practice quiz: Quantitative Techniques (Competitive Exams CLAT). 63 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Competitive Exams CLAT practice quiz has 63 multiple-choice questions on Quantitative Techniques. 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 the cost price of an article is Rs. 400 and it is sold at a profit of 25%, what is the selling price?

   1. Rs. 520
   2. Rs. 450
   3. Rs. 500
   4. Rs. 480
   Show answer

   Answer: C. Rs. 500

2. A boat can travel at 10 km/h in still water. If the speed of the stream is 2 km/h, how long will it take to travel 24 km upstream?

   1. 2 hours
   2. 4 hours
   3. 3 hours
   4. 2.4 hours
   Show answer

   Answer: C. 3 hours

3. A number is first increased by 20% and then decreased by 20%. What is the net percentage change?

   1. No change
   2. 4% decrease
   3. 4% increase
   4. 2% decrease
   Show answer

   Answer: B. 4% decrease

4. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 420. What is the simple interest on the same sum for the same time and rate?

   1. Rs. 400
   2. Rs. 410
   3. Rs. 420
   4. Rs. 380
   Show answer

   Answer: A. Rs. 400

5. If 40% of a number is 120 more than 20% of the same number, what is the number?

   1. 600
   2. 500
   3. 400
   4. 300
   Show answer

   Answer: A. 600

More questions in this quiz

Answers and explanations are in the full quiz.

1. Find the average of 5, 10, 15, 20, and 25.
2. Find the simple interest on Rs. 5000 at 8% per annum for 2 years.
3. Two numbers are in the ratio 3:5 and their sum is 64. Find the smaller number.
4. If 15% of x is 45, then x is:
5. A train travels at 72 km/h. What is its speed in metres per second?
6. Find the compound interest on Rs. 8000 at 10% per annum for 2 years, compounded annually.
7. A can complete a work in 12 days and B in 18 days. In how many days can they complete it together?
8. Two numbers are in the ratio 5:7 and their HCF is 6. Find their LCM.
9. A shopkeeper marks an article 40% above cost price and gives a discount of 25%. What is his profit percentage?
10. Two dice are thrown. What is the probability that the sum of the numbers appearing on them is 9?
11. In how many ways can the letters of the word 'EXAM' be arranged?
12. The average of 11 numbers is 60. The average of the first six is 58 and that of the last six is 63. Find the sixth number.
13. If x + 1/x = 5, then x^2 + 1/x^2 is:
14. At what rate percent per annum will Rs. 1000 amount to Rs. 1331 in 3 years, compounded annually?
15. Find the value of √0.000064.
16. A mixture contains milk and water in the ratio 7:3. If 10 litres of water is added, the ratio becomes 7:5. Find the quantity of milk in the mixture.
17. A number when divided by 6 leaves remainder 4. What will be the remainder when the square of the number is divided by 6?
18. In a class, the average marks of boys is 70 and that of girls is 75. If the overall average is 72, what is the ratio of the number of boys to girls?
19. What is the angle between the hour hand and the minute hand of a clock at 3:30?
20. Find the difference between compound interest and simple interest on Rs. 10000 for 2 years at 5% per annum.
21. If 2x + 3 = 11, then x equals:
22. Find the area of a circle of radius 7 cm. (Take π = 22/7)
23. A, B and C invest in a business in the ratio 2:3:5. If the annual profit is Rs. 5000, what is C's share?
24. What is the value of log₂ 32?
25. A student scored 85, 90, 78, and 92 in four subjects. What is his average score?
26. At what rate of simple interest will a sum of money double itself in 12.5 years?
27. A sum of money becomes Rs. 6690 after 3 years and Rs. 7560 after 6 years at the same rate of simple interest. What is the principal?
28. What is the least number that must be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3?
29. The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
30. A person crosses a 600 metre long street in 5 minutes. What is his speed in km/h?
31. If log₁₀ 2 = 0.3010, what is the value of log₁₀ 8?
32. The length and breadth of a rectangle are increased by 20% and 10% respectively. What is the percentage increase in its area?
33. In how many different ways can the letters of the word 'PENCIL' be arranged so that the vowels always come together?
34. The sum of the squares of two positive integers is 100 and the difference of their squares is 28. What is the sum of the two integers?
35. Find the value of (0.001)^(1/3).
36. A shopkeeper sells two articles at Rs. 1000 each, one at a profit of 20% and the other at a loss of 20%. What is the overall profit or loss percentage?
37. In an examination, 35% of the students failed in Mathematics and 25% failed in English. If 10% failed in both, what percentage of students passed in both subjects?
38. If 3^x = 9^(x-1), what is the value of x?
39. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, what is the second number?
40. A bag contains 4 red, 5 green and 6 blue balls. If three balls are drawn at random, what is the probability that all are blue?
41. The value of a machine depreciates at 10% per annum. If its present value is Rs. 81000, what was its value 2 years ago?
42. The average weight of a class of 24 students is 35 kg. If the weight of the teacher is included, the average rises by 400 g. What is the weight of the teacher?
43. A is twice as good a workman as B and together they finish a piece of work in 14 days. In how many days can A alone finish the same work?
44. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the principal?
45. A person buys a watch for Rs. 500 and spends Rs. 100 on its repair. He sells it for Rs. 720. What is his profit percentage?
46. A sum of money invested at simple interest doubles in 8 years. In how many years will it become four times itself at the same rate?
47. A car covers 300 metres in 15 seconds. What is its speed in km/h?
48. The compound interest on a sum for 3 years at 10% per annum, compounded annually, is Rs. 993. What is the sum?
49. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, what is their difference?
50. A trader marks his goods at 50% above cost price. If he allows a discount of 20%, what is his profit percentage?
51. A coin is tossed three times. What is the probability of getting at least two heads?
52. In how many ways can 5 boys and 3 girls be seated in a row so that all the girls sit together?
53. The speed of a boat downstream is 15 km/h and upstream is 9 km/h. What is the speed of the stream?
54. If x - 1/x = 3, then the value of x^2 + 1/x^2 is:
55. The value of √0.000441 is:
56. In a class, the average weight of 30 students is 40 kg. If 5 students weighing an average of 50 kg leave, what is the new average weight of the remaining students?
57. If 3x - 7 = 2x + 5, then the value of x is:
58. The circumference of a circle is 44 cm. What is its area? (Take π = 22/7)

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