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If a and b are positive integers

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If a and b are positive integers [#permalink] New post 13 Oct 2012, 17:18
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58% (01:35) correct 42% (00:38) wrong based on 24 sessions
If a and b are positive integers, is a/b an even integer?

1. ab is an even integer
2. b/a is an even integer
[Reveal] Spoiler: OA
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Re: If a and b are positive integers [#permalink] New post 13 Oct 2012, 18:12
Shawshank wrote:
If a and b are positive integers, is a/b an even integer?

1. ab is an even integer
2. b/a is an even integer


1. ab is an even integer - we've 3 options -
a = even & b = even
a = odd & b = even
a = even & b = odd
Can't conclude that a/b is an even integer or not. Insuff.

2. b/a is an even integer - this means that B is greater than a and the value is one among 0, 2, 4, 6 etc.
However, the reverse of these numbers are 1/2,1/4,1/6,1/8 etc, and we know that these numbers are not even.
Sufficient.

My answer is B.
Cheers!
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Re: If a and b are positive integers [#permalink] New post 14 Oct 2012, 00:51
Expert's post
Shawshank wrote:
If a and b are positive integers, is a/b an even integer?

1. ab is an even integer
2. b/a is an even integer


m19 q31

If a and b are positive integers, is a/b an even integer?

(1) ab is an even integer. If a=b=2 then the answer is NO but if a=2 and b=1 then the answer is YES. Not sufficient.

(2) b/a is an even integer --> \frac{b}{a}=even --> \frac{a}{b}=\frac{1}{even}\neq{integer}, so \frac{a}{b}\neq{even}. Sufficient.

Answer: B.

Hope it's clear.
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Re: If a and b are positive integers   [#permalink] 14 Oct 2012, 00:51
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