Two numbers are in the ratio 12:5 and their sum is 771. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 12:5 and their sum is 771. Find the numbers.

A. 523 and 234

B. 556 and 206

C. 1080 and 450

D. 540 and 225

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 12k and 5k. 12k + 5k = 771 ⇒ k = 45. Thus, numbers are 540 and 225.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1

If a:b = 4:7 and b:c = 7:4, then a:b:c = ?

A. 8:14:8

B. 4:7:4

C. 4:8:4

D. 3:7:5

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Correct Answer: Option B

Explanation:
Combine ratios: a:b = 4:7, b:c = 7:4 ⇒ a:b:c = 4:7:4.

This question belongs to: Maths Ratio and Proportion

Question #2

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

A. 36 years

B. 42 years

C. 84 years

D. 47 years

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Correct Answer: Option B

Explanation:
Let ages 3k and 5k. Then (3k + 5)/(5k + 5) = 5/6. Solving gives k ≈ 14, age of A = 3*14 = 42.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in ratio 9:7. Their difference is 150. What is their sum?

A. 423

B. 326

C. 288

D. 144

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Correct Answer: Option C

Explanation:
Numbers 9k, 7k. Difference |9-7|k = 150 ⇒ k = 75. Sum = (9+7)k ≈ 288.

This question belongs to: Maths Ratio and Proportion

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