Two numbers are in the ratio 7:8 and their sum is 322. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 7:8 and their sum is 322. Find the numbers.

A. 147 and 168

B. 142 and 188

C. 163 and 154

D. 294 and 336

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 7k and 8k. 7k + 8k = 322 ⇒ k = 21. Thus, numbers are 147 and 168.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Two numbers are in the ratio 11:15 and their sum is 202. Find the numbers.

A. 154 and 210

B. 77 and 105

C. 99 and 94

D. 61 and 114

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Correct Answer: Option B

Explanation:
Numbers = 11k and 15k. 11k + 15k = 202 ⇒ k = 7. Thus, numbers are 77 and 105.

This question belongs to: Maths Ratio and Proportion

Question #2

If a:b = 4:8 and b:c = 8:7, then a:b:c = ?

A. 4:9:7

B. 4:8:7

C. 3:8:8

D. 8:16:14

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:8, b:c = 8:7 ⇒ a:b:c = 4:8:7.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 8:11. Their difference is 86. What is their sum?

A. 304

B. 427

C. 152

D. 344

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Correct Answer: Option A

Explanation:
Numbers 8k, 11k. Difference |8-11|k = 86 ⇒ k = 28. Sum = (8+11)k ≈ 304.

This question belongs to: Maths Ratio and Proportion

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