Two numbers are in ratio 8:6. Their difference is 142. What is their sum? MCQ with Answer and Explanation

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Two numbers are in ratio 8:6. Their difference is 142. What is their sum?

A. 660

B. 574

C. 287

D. 624

Answer: Option B

Solution (By JKSSB Mock Tests)

Numbers 8k, 6k. Difference |8-6|k = 142 ⇒ k = 71. Sum = (8+6)k ≈ 574.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 4:5. After 5 years, the ratio becomes 5:8. Present age of A is?

A. 68 years

B. 76 years

C. 152 years

D. 81 years

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Correct Answer: Option B

Explanation:
Let ages 4k and 5k. Then (4k + 5)/(5k + 5) = 5/8. Solving gives k ≈ 19, age of A = 4*19 = 76.

This question belongs to: Maths Ratio and Proportion

Question #2

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Ratio of present ages of A and B is 5:8. After 12 years, the ratio becomes 6:11. Present age of A is?

A. 110 years

B. 60 years

C. 55 years

D. 50 years

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Correct Answer: Option C

Explanation:
Let ages 5k and 8k. Then (5k + 12)/(8k + 12) = 6/11. Solving gives k ≈ 11, age of A = 5*11 = 55.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 4:3 and b:c = 3:6, then a:b:c = ?

A. 4:4:6

B. 4:3:6

C. 3:3:7

D. 8:6:12

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:3, b:c = 3:6 ⇒ a:b:c = 4:3:6.

This question belongs to: Maths Ratio and Proportion

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