If a:b = 3:10 and b:c = 10:5, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 3:10 and b:c = 10:5, then a:b:c = ?

A. 3:11:5

B. 2:10:6

C. 6:20:10

D. 3:10:5

Answer: Option D

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 3:10, b:c = 10:5 ⇒ a:b:c = 3:10:5.

This question belongs to: Maths Ratio and Proportion

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Question #1

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

A. 61 and 114

B. 99 and 94

C. 77 and 105

D. 154 and 210

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Correct Answer: Option C

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

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If a:b = 7:10 and b:c = 10:12, then a:b:c = ?

A. 6:10:13

B. 7:10:12

C. 7:11:12

D. 14:20:24

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:10, b:c = 10:12 ⇒ a:b:c = 7:10:12.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in the ratio 12:10 and their sum is 753. Find the numbers.

A. 429 and 320

B. 408 and 340

C. 816 and 680

D. 396 and 345

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Correct Answer: Option B

Explanation:
Numbers = 12k and 10k. 12k + 10k = 753 ⇒ k = 34. Thus, numbers are 408 and 340.

This question belongs to: Maths Ratio and Proportion

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