Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 11:9 and their sum is 682. Find the numbers.
A. 374 and 306
B. 399 and 285
C. 748 and 612
D. 367 and 312
Answer: Option A
Solution (By JKExamLibrary)
Numbers = 11k and 9k. 11k + 9k = 682 ⇒ k = 34. Thus, numbers are 374 and 306.

This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1 Report Error
Ratio of present ages of A and B is 3:7. After 5 years, the ratio becomes 5:10. Present age of A is?
A. 77 years
B. 65 years
C. 72 years
D. 144 years

Correct Answer: Option C


Explanation:
Let ages 3k and 7k. Then (3k + 5)/(7k + 5) = 5/10. Solving gives k ≈ 24, age of A = 3*24 = 72.

This question belongs to: Maths Ratio and Proportion
Question #2 Report Error
Find the mean proportional between 4 and 66.
A. 16
B. 19
C. 32
D. 70

Correct Answer: Option A


Explanation:
Mean proportional = √(4 × 66) = √(264) = 16.

This question belongs to: Maths Ratio and Proportion
Question #3 Report Error
If a:b = 8:6 and b:c = 6:11, then a:b:c = ?
A. 8:6:11
B. 7:6:12
C. 16:12:22
D. 8:7:11

Correct Answer: Option A


Explanation:
Combine ratios: a:b = 8:6, b:c = 6:11 ⇒ a:b:c = 8:6:11.

This question belongs to: Maths Ratio and Proportion