Two numbers are in the ratio 14:7 and their sum is 130. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 14:7 and their sum is 130. Find the numbers.

A. 70 and 52

B. 168 and 84

C. 110 and 31

D. 84 and 42

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 14k and 7k. 14k + 7k = 130 ⇒ k = 6. Thus, numbers are 84 and 42.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

Find the mean proportional between 20 and 62.

A. 35

B. 38

C. 70

D. 82

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Correct Answer: Option A

Explanation:
Mean proportional = √(20 × 62) = √(1240) = 35.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in ratio 4:9. Their difference is 73. What is their sum?

A. 656

B. 520

C. 557

D. 260

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Correct Answer: Option B

Explanation:
Numbers 4k, 9k. Difference |4-9|k = 73 ⇒ k = 14. Sum = (4+9)k ≈ 520.

This question belongs to: Maths Ratio and Proportion

Question #3

Milk and water are in ratio 5:4 in a 536 L mixture. Quantity of milk?

A. 329 L

B. 297 L

C. 239 L

D. 594 L

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Correct Answer: Option B

Explanation:
Total parts = 9. Milk = [5 / (5+4)] × 536 = 297 L.

This question belongs to: Maths Ratio and Proportion

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