Ratio and Proportion - One Line Questions

1. If the ratio of a number and its square is 1:5, find the number. — 5
2. If a:b = 1:2, b:c = 3:4, and c:d = 5:6, then a:d is: — 15:48
3. If a:b = 1:4 and b:c = 2:5, then a:c is: — 1:10
4. In a class, the ratio of boys to girls is 3:5. If there are 32 students in total, how many boys are there? — 12
5. What is the fourth proportional to 4, 6, and 8? — 12
6. Two numbers are in the ratio 2:3. If 4 is subtracted from the first number and 2 is added to the second number, the ratio becomes 1:2. Find the numbers. — 10 and 15
7. The ratio of two numbers is 2:5. If the first number is multiplied by 4 and the second number is divided by 2, the ratio becomes 4:5. Find the numbers. — 4 and 10
8. In a mixture of 80 liters, the ratio of milk and water is 3:5. How much milk should be added to make the ratio 3:2? — 20 liters
9. In a mixture of 60 liters, the ratio of milk and water is 2:1. How much water should be added to make the ratio 1:2? — 40 liters
10. The ratio of ages of A and B is 2:3. After 5 years, the ratio of their ages will be 3:4. What is the present age of A? — 10 years
11. The ratio of the ages of father and son is 7:2. If the sum of their ages is 63 years, find the present age of the son. — 14 years
12. The ratio of the number of chairs and tables in a room is 8:5. If there are 39 items in total, how many tables are there? — 15
13. Two numbers are in the ratio 3:4. If the first number is multiplied by 5 and the second number is multiplied by 3, the ratio becomes 5:4. Find the numbers. — 15 and 20
14. The ratio of two numbers is 3:5. If the first number is increased by 10 and the second number is decreased by 10, the ratio becomes 1:3. Find the numbers. — 15 and 25
15. The ratio of two numbers is 5:9. If 6 is subtracted from the first number and 4 is added to the second number, the ratio becomes 1:3. Find the numbers. — 25 and 45
16. The ratio of two numbers is 3:7. If 4 is added to the first number and 2 is subtracted from the second number, the ratio becomes 5:9. Find the numbers. — 15 and 35
17. The ratio of two numbers is 3:7. If 5 is added to each number, the new ratio becomes 1:2. Find the numbers. — 15 and 35
18. The ratio of the number of red marbles to blue marbles in a bag is 4:5. If there are 36 marbles in total, how many red marbles are there? — 16
19. What is the third proportional to 8 and 12? — 18
20. In what ratio should tea at Rs. 60 per kg be mixed with tea at Rs. 69 per kg so that by selling the mixture at Rs. 72 per kg, there is a gain of 15%? — 2:1
21. If a:b = 2:5 and b:c = 3:4, then a:c is: — 6:20
22. If a:b = 2:3 and b:c = 4:5, then a:c is: — 8:15
23. If a:b = 2:3 and b:c = 5:7, then a:c is: — 10:21
24. The ratio of the number of apples and oranges in a basket is 5:3. If there are 40 fruits in total, how many apples are there? — 25
25. The ratio of the number of men and women in a committee is 5:4. If there are 45 members in total, how many women are there? — 20
26. If the ratio of two numbers is 3:5 and their sum is 80, find the numbers. — 30 and 50
27. The mean proportional between 16 and 36 is: — 24
28. The ratio of the number of boys and girls in a school is 7:5. If there are 480 students in total, find the number of boys. — 350
29. If 15% of a number is equal to 20% of another number, what is the ratio of the first number to the second number? — 4:3
30. If a:b = 3:2 and b:c = 4:5, then a:c is: — 6:5
31. If a:b = 3:4 and b:c = 2:5, then a:c is: — 3:10
32. The ratio of the number of students in Section A and Section B is 3:4. If there are 42 students in Section B, how many students are there in Section A? — 30
33. If a:b = 4:5 and b:c = 15:7, then a:c is: — 12:7
34. The ratio of the number of apples and bananas in a box is 7:4. If there are 121 fruits in total, how many bananas are there? — 33
35. The ratio of boys to girls in a class is 4:7. If there are 28 boys, how many girls are there? — 49
36. The ratio of two numbers is 7:11. If 7 is added to each number, the new ratio becomes 2:3. Find the numbers. — 21 and 33
37. The ratio of two numbers is 1:5. If 10 is added to both numbers, their ratio becomes 1:3. Find the numbers. — 5 and 25
38. If a:b = 5:3 and b:c = 6:7, then a:c is: — 10:7
39. If a:b = 5:6 and b:c = 8:9, then a:c is: — 40:54
40. The ratio of the number of boys and girls in a school is 5:6. If there are 110 students in total, find the number of girls. — 60
41. The ratio of the speeds of two trains is 5:7. If the first train covers 250 km in 5 hours, what is the speed of the second train? — 70 km/hr
42. Two numbers are in the ratio 5:8. If their difference is 39, find the numbers. — 65 and 104
43. The ratio of two quantities is 7:11. If the first quantity is 49, what is the second quantity? — 77
44. The ratio of two numbers is 1:2. If 7 is added to both numbers, the ratio becomes 3:5. Find the numbers. — 7 and 14
45. The ratio of the number of boys and girls in a school is 11:10. If the total number of students is 1610, find the number of girls. — 770
46. The ratio of two numbers is 4:5. If the first number is decreased by 2 and the second number is increased by 4, the ratio becomes 2:7. Find the numbers. — 8 and 10
47. The ratio of the price of a pen to a pencil is 3:1. If the price of the pen is Rs. 30, what is the price of the pencil? — Rs. 10
48. The ratio of income to expenditure of a person is 11:10. If he saves Rs. 1800 per month, find his monthly income. — Rs. 19800
49. If Rs. 1200 is divided among A, B, and C in the ratio 2:3:5, what is A's share? — Rs. 240
50. The ratio of the cost price and selling price of an article is 10:11. If the selling price is Rs. 550, find the cost price. — Rs. 500
All One Line Questions
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