Two numbers are in the ratio 7:4 and their sum is 257. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 7:4 and their sum is 257. Find the numbers.

A. 161 and 92

B. 143 and 110

C. 176 and 65

D. 322 and 184

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 7k and 4k. 7k + 4k = 257 ⇒ k = 23. Thus, numbers are 161 and 92.

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 7:5. After 12 years, the ratio becomes 8:8. Present age of A is?

A. 98 years

B. 196 years

C. 103 years

D. 94 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 5k. Then (7k + 12)/(5k + 12) = 8/8. Solving gives k ≈ 14, age of A = 7*14 = 98.

This question belongs to: Maths Ratio and Proportion

Question #2

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Milk and water are in ratio 4:3 in a 173 L mixture. Quantity of milk?

A. 140 L

B. 196 L

C. 75 L

D. 98 L

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Correct Answer: Option D

Explanation:
Total parts = 7. Milk = [4 / (4+3)] × 173 = 98 L.

This question belongs to: Maths Ratio and Proportion

Question #3

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If a:b = 4:6 and b:c = 6:11, then a:b:c = ?

A. 3:6:12

B. 4:7:11

C. 4:6:11

D. 8:12:22

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 4:6, b:c = 6:11 ⇒ a:b:c = 4:6:11.

This question belongs to: Maths Ratio and Proportion

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