Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers.

A. 360 and 432

B. 196 and 203

C. 160 and 225

D. 180 and 216

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 5k and 6k. 5k + 6k = 406 ⇒ k = 36. Thus, numbers are 180 and 216.

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 11:9 and their sum is 682. Find the numbers.

A. 748 and 612

B. 367 and 312

C. 374 and 306

D. 399 and 285

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Correct Answer: Option C

Explanation:
Numbers = 11k and 9k. 11k + 9k = 682 ⇒ k = 34. Thus, numbers are 374 and 306.

This question belongs to: Maths Ratio and Proportion

Question #2

Milk and water are in ratio 4:2 in a 445 L mixture. Quantity of milk?

A. 149 L

B. 346 L

C. 296 L

D. 592 L

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Correct Answer: Option C

Explanation:
Total parts = 6. Milk = [4 / (4+2)] × 445 = 296 L.

This question belongs to: Maths Ratio and Proportion

Question #3

If a:b = 3:4 and b:c = 4:11, then a:b:c = ?

A. 6:8:22

B. 3:5:11

C. 2:4:12

D. 3:4:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 3:4, b:c = 4:11 ⇒ a:b:c = 3:4:11.

This question belongs to: Maths Ratio and Proportion

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