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# If a and b are integers, is b/a even? (1) b/a^2 is odd. (2) a is even.

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Joined: 02 Sep 2009
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If a and b are integers, is b/a even? (1) b/a^2 is odd. (2) a is even.  [#permalink]

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10 Jul 2018, 21:27
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Difficulty:

75% (hard)

Question Stats:

44% (01:41) correct 56% (01:44) wrong based on 18 sessions

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If a and b are integers, is b/a even?

(1) b/a^2 is odd.

(2) a is even.

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If a and b are integers, is b/a even? (1) b/a^2 is odd. (2) a is even.  [#permalink]

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10 Jul 2018, 21:32
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Bunuel wrote:
If a and b are integers, is b/a even?

(1) b/a^2 is odd.

(2) a is even.

Statement 1: $$\frac{b}{a^2}=Odd$$

$$=>\frac{b}{a}*\frac{1}{a}=Odd =>\frac{b}{a}=Odd*a$$

So whether $$\frac{b}{a}$$ is even or odd will depend on the value of $$a$$. if $$a$$ is even then $$\frac{b}{a}$$ is even and if $$a$$ is odd then $$\frac{b}{a}$$ is odd. Insufficient

Statement 1: Nothing mentioned about $$b$$. Insufficient

Combining 1 & 2: we know $$\frac{b}{a}=Odd*a=Odd*Even=Even$$. Sufficient

Option C
If a and b are integers, is b/a even? (1) b/a^2 is odd. (2) a is even. &nbs [#permalink] 10 Jul 2018, 21:32
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