Two numbers are in the ratio 8:14 and their sum is 276. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 8:14 and their sum is 276. Find the numbers.
A. 96 and 168
B. 192 and 336
C. 84 and 185
D. 125 and 139
Answer: Option A
Solution (By JKSSB Mock Tests)
Numbers = 8k and 14k. 8k + 14k = 276 ⇒ k = 12. Thus, numbers are 96 and 168.

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Practice More Ratio and Proportion Questions

Question #1
If a:b = 2:9 and b:c = 9:4, then a:b:c = ?
A. 2:10:4
B. 4:18:8
C. 2:9:4
D. 1:9:5

Correct Answer: Option C


Explanation:
Combine ratios: a:b = 2:9, b:c = 9:4 ⇒ a:b:c = 2:9:4.

This question belongs to: Maths Ratio and Proportion
Question #2
Milk and water are in ratio 4:6 in a 273 L mixture. Quantity of milk?
A. 164 L
B. 133 L
C. 218 L
D. 109 L

Correct Answer: Option D


Explanation:
Total parts = 10. Milk = [4 / (4+6)] × 273 = 109 L.

This question belongs to: Maths Ratio and Proportion
Question #3
If a:b = 4:5 and b:c = 5:11, then a:b:c = ?
A. 4:6:11
B. 4:5:11
C. 8:10:22
D. 3:5:12

Correct Answer: Option B


Explanation:
Combine ratios: a:b = 4:5, b:c = 5:11 ⇒ a:b:c = 4:5:11.

This question belongs to: Maths Ratio and Proportion