If a:b = 4:7 and b:c = 7:4, then a:b:c = ? MCQ with Answer and Explanation

If a:b = 4:7 and b:c = 7:4, then a:b:c = ?
A. 4:7:4
B. 3:7:5
C. 4:8:4
D. 8:14:8
Answer: Option A
Solution (By JKSSB Mock Tests)
Combine ratios: a:b = 4:7, b:c = 7:4 ⇒ a:b:c = 4:7:4.

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Practice More Ratio and Proportion Questions

Question #1
Ratio of present ages of A and B is 4:7. After 11 years, the ratio becomes 5:8. Present age of A is?
A. 36 years
B. 45 years
C. 40 years
D. 80 years

Correct Answer: Option C


Explanation:
Let ages 4k and 7k. Then (4k + 11)/(7k + 11) = 5/8. Solving gives k ≈ 10, age of A = 4*10 = 40.

This question belongs to: Maths Ratio and Proportion
Question #2
Two numbers are in the ratio 7:8 and their sum is 572. Find the numbers.
A. 296 and 283
B. 266 and 304
C. 246 and 324
D. 532 and 608

Correct Answer: Option B


Explanation:
Numbers = 7k and 8k. 7k + 8k = 572 ⇒ k = 38. Thus, numbers are 266 and 304.

This question belongs to: Maths Ratio and Proportion
Question #3
Ratio of present ages of A and B is 7:5. After 9 years, the ratio becomes 9:6. Present age of A is?
A. 117 years
B. 109 years
C. 112 years
D. 224 years

Correct Answer: Option C


Explanation:
Let ages 7k and 5k. Then (7k + 9)/(5k + 9) = 9/6. Solving gives k ≈ 16, age of A = 7*16 = 112.

This question belongs to: Maths Ratio and Proportion