Bunuel wrote:

If a and b are positive integers, is the ratio of a to b equal to 2:1?

(1) a – b > 0

(2) The ratio of a to c is 4 to 3 and the ratio of c to b is 3 to 2.

This is a Data Sufficiency question dealing with ratios and with no exact numbers.

Perfect for a Logical approach using the logic of ratios.

(1) We know that a > b are positive integers but know nothing else about a or b.

Therefore we cannot know anything about the ratio between them. (Is a twice b? Three times b?)

Insufficient.

(2) Now we're told that a:c = 4:3 and c:b = 3:2. Combining these two together gives a:c:b = 4:3:2.

This means that a:b = 4:2 = 2:1. Yes!

(B) is our answer.

_________________

David

Senior tutor at examPAL

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