percentage, ratio and proportion, square roots - Question Bank

1. What is the square root of 100/9?
A) 10/3
B) 3/10
C) 10/9
D) 9/10
2. The ratio of the number of boys and girls in a competition is 9:7. If there are 112 girls, how many boys are there?
A) 136
B) 144
C) 150
D) 162
3. If a number is first increased by 10% and then decreased by 10%, the final number is:
A) 1% less than the original
B) 1% more than the original
C) Equal to the original
D) 10% less than the original
4. Find the square root of 3600.
A) 6
B) 60
C) 600
D) 360
5. The ratio of two numbers is 5:6. If 3 is added to both numbers, the ratio becomes 6:7. What is the sum of the original numbers?
A) 33
B) 44
C) 55
D) 66
6. If a number is increased by 25% and then decreased by 25%, what is the net percentage change?
A) 0%
B) 6.25% decrease
C) 6.25% increase
D) 12.5% decrease
7. What is the square root of 1.69?
A) 0.13
B) 1.3
C) 13
D) 16.9
8. The ratio of the number of men and women in a factory is 3:2. If the total number of workers is 450, how many men are there?
A) 250
B) 270
C) 300
D) 320
9. A decrease of 10% in the price of an item allows a person to buy 2 kg more for Rs. 360. What is the original price per kg?
A) Rs. 18/kg
B) Rs. 20/kg
C) Rs. 22/kg
D) Rs. 24/kg
10. Find the square root of 441.
A) 19
B) 21
C) 23
D) 25
11. The ratio of two quantities is 5:3. If the first quantity is increased by 20% and the second quantity is decreased by 10%, what is the new ratio?
A) 6:3
B) 6:2.7
C) 5:4
D) 7:5
12. If 40% of a number is 200, what is 60% of the same number?
A) 250
B) 300
C) 350
D) 400
13. What is the square root of 1024?
A) 30
B) 32
C) 34
D) 36
14. The ratio of two numbers is 3:4. If the first number is increased by 10% and the second number is decreased by 20%, what is the new ratio?
A) 1:1
B) 2:3
C) 3:4
D) 4:5
15. A number is increased by 20% and then decreased by 10%. What is the net percentage change?
A) 8% increase
B) 8% decrease
C) 10% increase
D) 10% decrease
16. Find the square root of 576.
A) 22
B) 24
C) 26
D) 28
17. The ratio of the number of apples to oranges in a basket is 11:13. If there are 55 apples, how many oranges are there?
A) 65
B) 75
C) 85
D) 95
18. If 20% of the students in a class are girls, and the number of boys is 32, how many students are there in the class?
A) 36
B) 40
C) 42
D) 44
19. What is the square root of 0.000009?
A) 0.003
B) 0.03
C) 0.3
D) 3
20. The ratio of two positive integers is 3:7 and their product is 1323. Find the integers.
A) 21 and 49
B) 27 and 63
C) 18 and 42
D) 30 and 70
21. A number is decreased by 15%. If the new number is 170, what is the original number?
A) 190
B) 200
C) 210
D) 220
22. Find the square root of 1296.
A) 32
B) 34
C) 36
D) 38
23. The ratio of the ages of A and B is 3:4. After 10 years, the ratio of their ages will be 4:5. What is the current age of A?
A) 10 years
B) 20 years
C) 30 years
D) 40 years
24. If 75% of a number is 90, find the number.
A) 100
B) 110
C) 120
D) 130
25. What is the square root of 1/16?
A) 1/2
B) 1/4
C) 1/8
D) 1/16
26. The ratio of the number of boys and girls in a school is 7:5. If the total number of students is 1200, find the number of girls.
A) 500
B) 600
C) 700
D) 800
27. A man's salary was increased by 20%. If his new salary is Rs. 24,000, what was his original salary?
A) Rs. 18,000
B) Rs. 20,000
C) Rs. 22,000
D) Rs. 23,000
28. Find the square root of 30.25.
A) 5.5
B) 6.5
C) 7.5
D) 8.5
29. The ratio of the speeds of two trains is 5:6. If the first train covers 250 km in 5 hours, what is the speed of the second train?
A) 50 km/hr
B) 60 km/hr
C) 70 km/hr
D) 80 km/hr
30. In a class, 30% of students failed in Science, 25% failed in Maths, and 10% failed in both. What percentage of students passed in both subjects?
A) 45%
B) 50%
C) 55%
D) 60%
31. What is the square root of 10000?
A) 10
B) 100
C) 1000
D) 100000
32. The ratio of two numbers is 5:8. If 7 is subtracted from the first number and 4 is added to the second number, the ratio becomes 4:8. Find the numbers.
A) 35 and 56
B) 40 and 64
C) 45 and 72
D) 50 and 80
33. If a number is increased by 25%, it becomes 125. What is the original number?
A) 100
B) 105
C) 110
D) 115
34. Find the square root of (12.25 * 4).
A) 3.5
B) 7
C) 14
D) 49
35. The ratio of A's income to B's income is 4:5. If A's income is Rs. 60,000, what is B's income?
A) Rs. 70,000
B) Rs. 75,000
C) Rs. 80,000
D) Rs. 85,000
36. A student scored 45% marks in an exam but failed by 10 marks. If the passing percentage is 55%, what is the maximum marks?
A) 50
B) 75
C) 100
D) 125
37. What is the square root of 5329?
A) 71
B) 73
C) 77
D) 79
38. Two numbers are in the ratio 7:11. If the difference between the numbers is 24, find the larger number.
A) 66
B) 77
C) 88
D) 99
39. If the price of an article is decreased by 25% and then increased by 20%, what is the net percentage change?
A) 5% decrease
B) 5% increase
C) 10% decrease
D) 10% increase
40. The square root of 15625 is:
A) 125
B) 115
C) 135
D) 105
41. If the ratio of the ages of Ram and Shyam is 5:7 and the sum of their ages is 84 years, what is Shyam's current age?
A) 35 years
B) 49 years
C) 59 years
D) 70 years
42. In an election, candidate A got 40% of the total votes. If he lost by 500 votes, what is the total number of votes polled?
A) 2000
B) 2500
C) 3000
D) 3500
43. What is the square root of (64 * 81)?
A) 72
B) 64
C) 81
D) 5184
44. The ratio of two numbers is 2:3. If the sum of the numbers is 50, what are the numbers?
A) 20 and 30
B) 15 and 35
C) 10 and 40
D) 25 and 25
45. A number is increased by 10%. By what percentage should it be decreased to get the original number back?
A) 9.09%
B) 10%
C) 11.11%
D) 12.5%
46. Find the square root of 0.000144.
A) 0.012
B) 0.12
C) 0.0012
D) 1.2
47. The ratio of boys to girls in a class is 4:3. If there are 24 boys, how many girls are there?
A) 16
B) 18
C) 20
D) 22
48. If 60% of a number is 120, what is the number?
A) 180
B) 200
C) 220
D) 240
49. What is the square root of 144?
A) 10
B) 11
C) 12
D) 13
50. The ratio of two numbers is 3:5. If 10 is added to each number, the new ratio becomes 5:7. What is the sum of the original numbers?
A) 40
B) 50
C) 60
D) 70
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