If a:b = 8:10 and b:c = 10:6, then a:b:c = ? MCQ with Answer and Explanation

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If a:b = 8:10 and b:c = 10:6, then a:b:c = ?

A. 7:10:7

B. 8:10:6

C. 16:20:12

D. 8:11:6

Answer: Option B

Solution (By JKSSB Mock Tests)

Combine ratios: a:b = 8:10, b:c = 10:6 ⇒ a:b:c = 8:10:6.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Ratio of present ages of A and B is 3:4. After 4 years, the ratio becomes 5:6. Present age of A is?

A. 71 years

B. 60 years

C. 66 years

D. 132 years

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Correct Answer: Option C

Explanation:
Let ages 3k and 4k. Then (3k + 4)/(4k + 4) = 5/6. Solving gives k ≈ 22, age of A = 3*22 = 66.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 3:3 and b:c = 3:7, then a:b:c = ?

A. 3:4:7

B. 2:3:8

C. 3:3:7

D. 6:6:14

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 3:3, b:c = 3:7 ⇒ a:b:c = 3:3:7.

This question belongs to: Maths Ratio and Proportion

Question #3

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Two numbers are in the ratio 14:12 and their sum is 772. Find the numbers.

A. 812 and 696

B. 406 and 348

C. 421 and 329

D. 389 and 367

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Correct Answer: Option B

Explanation:
Numbers = 14k and 12k. 14k + 12k = 772 ⇒ k = 29. Thus, numbers are 406 and 348.

This question belongs to: Maths Ratio and Proportion

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