Two numbers are in ratio 11:5. Their difference is 105. What is their sum? MCQ with Answer and Explanation

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

A. 368

B. 414

C. 160

D. 320

Answer: Option D

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Ratio and Proportion

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Question #1

Two numbers are in ratio 8:10. Their difference is 82. What is their sum?

A. 432

B. 216

C. 571

D. 454

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Correct Answer: Option A

Explanation:
Numbers 8k, 10k. Difference |8-10|k = 82 ⇒ k = 41. Sum = (8+10)k ≈ 432.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 6:7 and b:c = 7:10, then a:b:c = ?

A. 12:14:20

B. 6:8:10

C. 5:7:11

D. 6:7:10

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 6:7, b:c = 7:10 ⇒ a:b:c = 6:7:10.

This question belongs to: Maths Ratio and Proportion

Question #3

Ratio of present ages of A and B is 3:4. After 4 years, the ratio becomes 5:6. Present age of A is?

A. 71 years

B. 132 years

C. 66 years

D. 60 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 4k. Then (3k + 4)/(4k + 4) = 5/6. Solving gives k ≈ 22, age of A = 3*22 = 66.

This question belongs to: Maths Ratio and Proportion

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