If a:b = 3:10 and b:c = 10:4, then a:b:c = ? MCQ with Answer and Explanation

Question
If a:b = 3:10 and b:c = 10:4, then a:b:c = ?
A. 3:10:4
B. 2:10:5
C. 6:20:8
D. 3:11:4
Answer: Option A
Solution (By JKExamLibrary)
Combine ratios: a:b = 3:10, b:c = 10:4 ⇒ a:b:c = 3:10:4.
This question belongs to: Maths Ratio and Proportion

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Practice More Ratio and Proportion Questions

Question #1
If a:b = 7:5 and b:c = 5:8, then a:b:c = ?
A. 6:5:9
B. 7:5:8
C. 14:10:16
D. 7:6:8
Discuss

Correct Answer: Option B

Explanation:
Combine ratios: a:b = 7:5, b:c = 5:8 ⇒ a:b:c = 7:5:8.
This question belongs to: Maths Ratio and Proportion
Question #2
Ratio of present ages of A and B is 6:7. After 7 years, the ratio becomes 8:8. Present age of A is?
A. 134 years
B. 138 years
C. 276 years
D. 143 years
Discuss

Correct Answer: Option B

Explanation:
Let ages 6k and 7k. Then (6k + 7)/(7k + 7) = 8/8. Solving gives k ≈ 23, age of A = 6*23 = 138.
This question belongs to: Maths Ratio and Proportion
Question #3
Two numbers are in ratio 11:5. Their difference is 105. What is their sum?
A. 414
B. 320
C. 368
D. 160
Discuss

Correct Answer: Option B

Explanation:
Numbers 11k, 5k. Difference |11-5|k = 105 ⇒ k = 17. Sum = (11+5)k ≈ 320.
This question belongs to: Maths Ratio and Proportion
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