MCQ practice · SSC General Mathematics Board questions · Chapter 11: Algebraic Ratio and Proportion
If P : Q = 1/3, Q : R = 2/5 and R : S = 3/4, what is P : Q : R : S?
Think it through first, then pick an option.
- a 1 : 3 : 2 : 5
- b 2 : 6 : 10 : 20
- c 1 : 3 : 5 : 4
- d 2 : 6 : 15 : 20
Answer and explanation
Correct answer: d 2 : 6 : 15 : 20
1 : 3 = 2 : 6, 2 : 5 = 6 : 15 and 3 : 4 = 15 : 20; each step matches.
Why the other options are wrong
- a 1 : 3 : 2 : 5: The ratios 1 : 3, 2 : 5 and 3 : 4 were just placed side by side; the middle terms were not matched.
- b 2 : 6 : 10 : 20: R is 15, not 10, because Q : R = 6 : 15.
- c 1 : 3 : 5 : 4: Taking Q and R as 3 and 5 gives Q : R = 3 : 5, but the given ratio is 2 : 5.
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