Ratio and Proportion – Multiple Choice Questions (MCQs)

1. 13. Find the third proportional to 16 and 24.

   • A. 36
   • B. 18
   • C. 48
   • D. 32

2. 14. If x varies directly as y and x = 15 when y = 5, find x when y = 7.

   • A. 21
   • B. 25
   • C. 30
   • D. 35

3. 15. The ratio of the present ages of P and Q is 3:4. Five years ago, the ratio of their ages was 2:3. Find the present age of P.

   • A. 15 years
   • B. 20 years
   • C. 25 years
   • D. 30 years

4. 16. If the cost of 10 apples is ? 80, what is the cost of 15 apples?

   • A. ? 100
   • B. ? 120
   • C. ? 90
   • D. ? 110

5. 17. A mixture contains milk and water in the ratio 5:1. If 5 liters of water is added to the mixture, the ratio becomes 5:2. Find the initial quantity of milk.

   • A. 25 liters
   • B. 30 liters
   • C. 35 liters
   • D. 40 liters

6. 18. The ratio of two numbers is 7:8 and their difference is 5. Find the smaller number.

   • A. 35
   • B. 40
   • C. 28
   • D. 32

7. 19. If a:b = 1:2, b:c = 3:4, and c:d = 5:6, then find a:b:c:d.

   • A. 15:30:40:48
   • B. 5:10:15:18
   • C. 3:6:8:12
   • D. 10:20:30:36

8. 20. The salaries of A, B, and C are in the ratio 2:3:5. If the increment of 15%, 10%, and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

   • A. 23:34:00
   • B. 20:33:50
   • C. 23:31:00
   • D. 30:33:55

9. 21. If x varies inversely as y, and x = 10 when y = 6, find y when x = 15.

   • A. 4
   • B. 8
   • C. 9
   • D. 12

10. 22. A bag contains ? 1, 50 paise, and 25 paise coins in the ratio 5:6:8. If the total amount in the bag is ? 420, find the number of 50 paise coins.

    • A. 120
    • B. 240
    • C. 360
    • D. 480

11. 23. The ratio of the areas of two similar triangles is 9:16. What is the ratio of their corresponding sides?

    • A. 3:4
    • B. 9:16
    • C. 85:16:00
    • D. 4:3

12. 24. If (a+b):(b+c):(c+a) = 6:7:8 and a+b+c = 14, then find the value of c.

    • A. 6
    • B. 7
    • C. 8
    • D. 9