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. 196 and 203

B. 160 and 225

C. 360 and 432

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

If a:b = 2:8 and b:c = 8:11, then a:b:c = ?

A. 1:8:12

B. 2:9:11

C. 4:16:22

D. 2:8:11

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Correct Answer: Option D

Explanation:
Combine ratios: a:b = 2:8, b:c = 8:11 ⇒ a:b:c = 2:8:11.

This question belongs to: Maths Ratio and Proportion

Question #2

Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers.

A. 399 and 285

B. 374 and 306

C. 367 and 312

D. 748 and 612

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Correct Answer: Option B

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 #3

Two numbers are in ratio 9:11. Their difference is 102. What is their sum?

A. 422

B. 400

C. 200

D. 482

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Correct Answer: Option B

Explanation:
Numbers 9k, 11k. Difference |9-11|k = 102 ⇒ k = 51. Sum = (9+11)k ≈ 400.

This question belongs to: Maths Ratio and Proportion

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