If a:b = 5:4 and b:c = 4:5, then a:b:c = ? MCQ with Answer and Explanation

If a:b = 5:4 and b:c = 4:5, then a:b:c = ?

A. 10:8:10

B. 5:4:5

C. 4:4:6

D. 5:5:5

Answer: Option B

Combine ratios: a:b = 5:4, b:c = 4:5 ⇒ a:b:c = 5:4:5.

This question belongs to: Maths Ratio and Proportion

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Question #1 Report Error

Ratio of present ages of A and B is 4:4. After 6 years, the ratio becomes 5:5. Present age of A is?

A. 81 years

B. 84 years

C. 168 years

D. 89 years

Correct Answer: Option B

Explanation:
Let ages 4k and 4k. Then (4k + 6)/(4k + 6) = 5/5. Solving gives k ≈ 21, age of A = 4*21 = 84.

This question belongs to: Maths Ratio and Proportion

Question #2 Report Error

If a:b = 4:3 and b:c = 3:7, then a:b:c = ?

A. 3:3:8

B. 8:6:14

C. 4:3:7

D. 4:4:7

Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:7 ⇒ a:b:c = 4:3:7.

This question belongs to: Maths Ratio and Proportion

Question #3 Report Error

Two numbers are in ratio 11:5. Their difference is 105. What is their sum?

A. 320

B. 414

C. 368

D. 160

Correct Answer: Option A

Explanation:
Numbers 11k, 5k. Difference |11-5|k = 105 ⇒ k = 17. Sum = (11+5)k ≈ 320.

This question belongs to: Maths Ratio and Proportion