Ratio and Proportion – Multiple Choice Questions (MCQs)

1. 1. The ratio of two numbers is 3:4. If their sum is 42, what is the larger number?

   • A. 18
   • B. 24
   • C. 28
   • D. 32

2. 2. If a:b = 2:3 and b:c = 4:5, then find a:c.

   • A. 8:15
   • B. 6:8
   • C. 10:12
   • D. 3:5

3. 3. Divide ? 360 among A, B, and C in the ratio 2:3:4. What is B's share?

   • A. ? 80
   • B. ? 120
   • C. ? 160
   • D. ? 100

4. 4. Two numbers are in the ratio 5:7. If 8 is added to each number, the ratio becomes 7:9. Find the numbers.

   • A. 20 and 28
   • B. 25 and 35
   • C. 15 and 21
   • D. 10 and 14

5. 5. What is the fourth proportional to 4, 6, and 8?

   • A. 10
   • B. 12
   • C. 14
   • D. 16

6. 6. If x:y = 5:2, then (8x + 9y) : (8x + 2y) is equal to:

   • A. 22:29
   • B. 27:01:00
   • C. 29:22:00
   • D. 61:26:00

7. 7. The ratio of the number of boys and girls in a school is 3:2. If there are 500 students in the school, find the number of boys.

   • A. 200
   • B. 300
   • C. 250
   • D. 350

8. 8. ? 770 is divided among A, B, and C in the ratio 7:8:9. What is the difference between C's share and A's share?

   • A. ? 60
   • B. ? 70
   • C. ? 80
   • D. ? 90

9. 9. If A is 20% more than B, then the ratio B:A is:

   • A. 5:6
   • B. 6:5
   • C. 10:12
   • D. 12:10

10. 10. The mean proportional between 9 and 16 is:

    • A. 12
    • B. 13
    • C. 14
    • D. 15

11. 11. If a/b = c/d = e/f = 3, then (2a + 3c + 4e) / (2b + 3d + 4f) is equal to:

    • A. 3
    • B. 4
    • C. 9
    • D. 12

12. 12. The ratio of incomes of A and B is 5:4 and the ratio of their expenditures is 3:2. If A saves ? 1600 and B saves ? 1200, then A's income is:

    • A. ? 2800
    • B. ? 6000
    • C. ? 4000
    • D. ? 8000