Two numbers are in the ratio 11:3 and their sum is 121. Find the numbers. MCQ with Answer and Explanation

Two numbers are in the ratio 11:3 and their sum is 121. Find the numbers.
A. 88 and 24
B. 176 and 48
C. 106 and 7
D. 73 and 38
Answer: Option A
Solution (By JKSSB Mock Tests)
Numbers = 11k and 3k. 11k + 3k = 121 ⇒ k = 8. Thus, numbers are 88 and 24.

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Practice More Ratio and Proportion Questions

Question #1
Two numbers are in ratio 8:5. Their difference is 125. What is their sum?
A. 445
B. 403
C. 519
D. 201

Correct Answer: Option B


Explanation:
Numbers 8k, 5k. Difference |8-5|k = 125 ⇒ k = 41. Sum = (8+5)k ≈ 403.

This question belongs to: Maths Ratio and Proportion
Question #2
Milk and water are in ratio 6:4 in a 289 L mixture. Quantity of milk?
A. 116 L
B. 223 L
C. 173 L
D. 346 L

Correct Answer: Option C


Explanation:
Total parts = 10. Milk = [6 / (6+4)] × 289 = 173 L.

This question belongs to: Maths Ratio and Proportion
Question #3
Milk and water are in ratio 5:7 in a 456 L mixture. Quantity of milk?
A. 229 L
B. 190 L
C. 380 L
D. 266 L

Correct Answer: Option B


Explanation:
Total parts = 12. Milk = [5 / (5+7)] × 456 = 190 L.

This question belongs to: Maths Ratio and Proportion