Find the mean proportional between 14 and 77. MCQ with Answer and Explanation

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Find the mean proportional between 14 and 77.

A. 91

B. 64

C. 32

D. 35

Answer: Option C

Solution (By JKSSB Mock Tests)

Mean proportional = √(14 × 77) = √(1078) = 32.

This question belongs to: Maths Ratio and Proportion

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Question #1

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Two numbers are in ratio 6:9. Their difference is 102. What is their sum?

A. 341

B. 127

C. 255

D. 303

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Correct Answer: Option C

Explanation:
Numbers 6k, 9k. Difference |6-9|k = 102 ⇒ k = 34. Sum = (6+9)k ≈ 255.

This question belongs to: Maths Ratio and Proportion

Question #2

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If a:b = 5:6 and b:c = 6:7, then a:b:c = ?

A. 5:7:7

B. 4:6:8

C. 5:6:7

D. 10:12:14

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Correct Answer: Option C

Explanation:
Combine ratios: a:b = 5:6, b:c = 6:7 ⇒ a:b:c = 5:6:7.

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 7:11. Present age of A is?

A. 97 years

B. 184 years

C. 92 years

D. 87 years

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Correct Answer: Option C

Explanation:
Let ages 4k and 8k. Then (4k + 6)/(8k + 6) = 7/11. Solving gives k ≈ 23, age of A = 4*23 = 92.

This question belongs to: Maths Ratio and Proportion

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