If a:b = 2:3 and b:c = 3:10, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 2:3 and b:c = 3:10, then a:b:c = ?

A. 4:6:20

B. 2:3:10

C. 2:4:10

D. 1:3:11

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 2:3, b:c = 3:10 ⇒ a:b:c = 2:3:10.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 9:6. Their difference is 123. What is their sum?

A. 270

B. 540

C. 633

D. 593

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Correct Answer: Option B

Explanation:
Numbers 9k, 6k. Difference |9-6|k = 123 ⇒ k = 41. Sum = (9+6)k ≈ 540.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in the ratio 14:6 and their sum is 644. Find the numbers.

A. 896 and 384

B. 448 and 192

C. 433 and 198

D. 462 and 176

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Correct Answer: Option B

Explanation:
Numbers = 14k and 6k. 14k + 6k = 644 ⇒ k = 32. Thus, numbers are 448 and 192.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 4:8. After 6 years, the ratio becomes 5:10. Present age of A is?

A. 61 years

B. 112 years

C. 52 years

D. 56 years

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Correct Answer: Option D

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 5/10. Solving gives k ≈ 14, age of A = 4*14 = 56.

This question belongs to: Maths Ratio and Proportion

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