Two numbers are in the ratio 11:5 and their sum is 789. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 11:5 and their sum is 789. Find the numbers.

A. 524 and 251

B. 566 and 224

C. 1078 and 490

D. 539 and 245

Answer: Option D

Solution (By JKSSB Mock Tests)

Numbers = 11k and 5k. 11k + 5k = 789 ⇒ k = 49. Thus, numbers are 539 and 245.

This question belongs to: Maths Ratio and Proportion

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Question #1

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

A. 540

B. 270

C. 633

D. 593

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Correct Answer: Option A

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

Ratio of present ages of A and B is 7:8. After 6 years, the ratio becomes 8:9. Present age of A is?

A. 210 years

B. 105 years

C. 97 years

D. 110 years

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Correct Answer: Option B

Explanation:
Let ages 7k and 8k. Then (7k + 6)/(8k + 6) = 8/9. Solving gives k ≈ 15, age of A = 7*15 = 105.

This question belongs to: Maths Ratio and Proportion

Question #3

Two numbers are in the ratio 13:10 and their sum is 746. Find the numbers.

A. 434 and 298

B. 403 and 338

C. 832 and 640

D. 416 and 320

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Correct Answer: Option D

Explanation:
Numbers = 13k and 10k. 13k + 10k = 746 ⇒ k = 32. Thus, numbers are 416 and 320.

This question belongs to: Maths Ratio and Proportion

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