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DS, Integers, divisiblity

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Source: — Data Sufficiency |
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by Rohit21 » Sun Apr 15, 2012 4:25 pm
Answer is B.
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by Anurag@Gurome » Sun Apr 15, 2012 6:53 pm
Rohit21 wrote:If a , b, and c are positive distinct integers, is (a/b)/c an integer?

1. c=2
2. a=b+c
(a/b)/c = a/(bc)
Question is: Is a/(bc) an integer?

(1) c = 2 implies we have to find if a/2b is an integer.
If a = 1, b = 2, then a/2b is NOT an integer.
If a = 4, b = 2, then a/2b is an integer.
No definite answer; NOT sufficient.

(2) a = b + c
a/(bc) = (b + c)/bc = b/(bc) + c/(bc) = 1/c + 1/b
Now it is given that a , b, and c are positive distinct integers, so 1/c + 1/b cannot be an integer. This means a/(bc) is NOT an integer; SUFFICIENT to answer the question.

The correct answer is B.
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