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If 0 < a/b < 1 and 0 < a, what is the value of inte

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by BTGmoderatorLU » Fri Nov 03, 2017 9:18 am
If 0 < a/b < 1 and 0 < a, what is the value of integer a?

(1) The least common denominator of a/b and 1/5 is 10
(2) b = 2

The OA is B.

I need help to solve this DS question. Please can any expert explain why that is the correct answer? Thanks.
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by DavidG@VeritasPrep » Fri Nov 03, 2017 10:02 am
LUANDATO wrote:If 0 < a/b < 1 and 0 < a, what is the value of integer a?

(1) The least common denominator of a/b and 1/5 is 10
(2) b = 2

The OA is B.

I need help to solve this DS question. Please can any expert explain why that is the correct answer? Thanks.
Statement 1
Case 1: a =1 and b = 2. (the LCM of 2 and 5 is 10.)
Case 2: a = 3 and b = 10 (the LCM of 5 and 10 is 10.)
We can get more than one value for a, so this statement alone is not sufficient to answer the question.

Statement 2:
If a/b < 1, we know that if b = 2, a/2 < 1 and a < 2. We also know that a is positive. Well, there's only one positive integer less than 2, so a = 1. Sufficient. The answer is B
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