Two numbers are in the ratio 5:10 and their sum is 527. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 5:10 and their sum is 527. Find the numbers.
A. 175 and 350
B. 160 and 361
C. 189 and 327
D. 350 and 700
Answer: Option A
Solution (By JKSSB Mock Tests)
Numbers = 5k and 10k. 5k + 10k = 527 ⇒ k = 35. Thus, numbers are 175 and 350.

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Practice More Ratio and Proportion Questions

Question #1
If a:b = 6:5 and b:c = 5:11, then a:b:c = ?
A. 12:10:22
B. 6:6:11
C. 5:5:12
D. 6:5:11

Correct Answer: Option D


Explanation:
Combine ratios: a:b = 6:5, b:c = 5:11 ⇒ a:b:c = 6:5:11.

This question belongs to: Maths Ratio and Proportion
Question #2
Ratio of present ages of A and B is 7:8. After 12 years, the ratio becomes 8:9. Present age of A is?
A. 82 years
B. 77 years
C. 154 years
D. 70 years

Correct Answer: Option B


Explanation:
Let ages 7k and 8k. Then (7k + 12)/(8k + 12) = 8/9. Solving gives k ≈ 11, age of A = 7*11 = 77.

This question belongs to: Maths Ratio and Proportion
Question #3
If a:b = 5:9 and b:c = 9:10, then a:b:c = ?
A. 4:9:11
B. 5:9:10
C. 5:10:10
D. 10:18:20

Correct Answer: Option B


Explanation:
Combine ratios: a:b = 5:9, b:c = 9:10 ⇒ a:b:c = 5:9:10.

This question belongs to: Maths Ratio and Proportion