MCQ practice · SSC General Mathematics Board questions · Chapter 11: Algebraic Ratio and Proportion
If A : B = 2 : 3, B : C = 1 : 2 and C : D = 3 : 2, what is A : D?
Think it through first, then pick an option.
- a 1 : 2
- b 2 : 2
- c 2 : 3
- d 1 : 3
Answer and explanation
Correct answer: a 1 : 2
Matching B gives 2 : 3 and 3 : 6, then C = 6 gives 6 : 4; A : B : C : D = 2 : 3 : 6 : 4 so A : D = 2 : 4 = 1 : 2.
Why the other options are wrong
- b 2 : 2: This is 1 : 1; in the chain A is 2 and D is 4.
- c 2 : 3: This is A : B; the question asks for A : D.
- d 1 : 3: 1 : 3 is A : C (2 : 6); A : D is asked, and D has 4 parts, so A : D = 2 : 4 = 1 : 2.
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