Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers. MCQ with Answer and Explanation

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Two numbers are in the ratio 5:6 and their sum is 406. Find the numbers.

A. 180 and 216

B. 160 and 225

C. 196 and 203

D. 360 and 432

Answer: Option A

Solution (By JKSSB Mock Tests)

Numbers = 5k and 6k. 5k + 6k = 406 ⇒ k = 36. Thus, numbers are 180 and 216.

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 4:7. After 11 years, the ratio becomes 5:8. Present age of A is?

A. 40 years

B. 80 years

C. 45 years

D. 36 years

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Correct Answer: Option A

Explanation:
Let ages 4k and 7k. Then (4k + 11)/(7k + 11) = 5/8. Solving gives k ≈ 10, age of A = 4*10 = 40.

This question belongs to: Maths Ratio and Proportion

Question #2

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Two numbers are in ratio 7:12. Their difference is 133. What is their sum?

A. 199

B. 399

C. 434

D. 507

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Correct Answer: Option B

Explanation:
Numbers 7k, 12k. Difference |7-12|k = 133 ⇒ k = 26. Sum = (7+12)k ≈ 399.

This question belongs to: Maths Ratio and Proportion

Question #3

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Ratio of present ages of A and B is 7:8. After 11 years, the ratio becomes 10:10. Present age of A is?

A. 161 years

B. 156 years

C. 166 years

D. 322 years

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Correct Answer: Option A

Explanation:
Let ages 7k and 8k. Then (7k + 11)/(8k + 11) = 10/10. Solving gives k ≈ 23, age of A = 7*23 = 161.

This question belongs to: Maths Ratio and Proportion

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