If a:b = 8:9 and b:c = 9:8, then a:b:c = ? MCQ with Answer and Explanation

If a:b = 8:9 and b:c = 9:8, then a:b:c = ?
A. 8:9:8
B. 7:9:9
C. 8:10:8
D. 16:18:16
Answer: Option A
Solution (By JKSSB Mock Tests)
Combine ratios: a:b = 8:9, b:c = 9:8 ⇒ a:b:c = 8:9:8.

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Practice More Ratio and Proportion Questions

Question #1
Ratio of present ages of A and B is 4:5. After 4 years, the ratio becomes 6:7. Present age of A is?
A. 60 years
B. 55 years
C. 120 years
D. 65 years

Correct Answer: Option A


Explanation:
Let ages 4k and 5k. Then (4k + 4)/(5k + 4) = 6/7. Solving gives k ≈ 15, age of A = 4*15 = 60.

This question belongs to: Maths Ratio and Proportion
Question #2
Ratio of present ages of A and B is 3:8. After 10 years, the ratio becomes 4:10. Present age of A is?
A. 44 years
B. 102 years
C. 51 years
D. 56 years

Correct Answer: Option C


Explanation:
Let ages 3k and 8k. Then (3k + 10)/(8k + 10) = 4/10. Solving gives k ≈ 17, age of A = 3*17 = 51.

This question belongs to: Maths Ratio and Proportion
Question #3
Ratio of present ages of A and B is 5:6. After 9 years, the ratio becomes 7:7. Present age of A is?
A. 95 years
B. 100 years
C. 200 years
D. 105 years

Correct Answer: Option B


Explanation:
Let ages 5k and 6k. Then (5k + 9)/(6k + 9) = 7/7. Solving gives k ≈ 20, age of A = 5*20 = 100.

This question belongs to: Maths Ratio and Proportion