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Is y an integer? (1) When y is divided by two, the result is the squar

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Is y an integer? (1) When y is divided by two, the result is the squar  [#permalink]

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New post 31 Dec 2017, 12:18
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Question Stats:

80% (01:06) correct 20% (01:56) wrong based on 47 sessions

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Is y an integer?

(1) When y is divided by two, the result is the square of an integer.
(2) When y is multiplied by two, the result is the square of an integer

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Re: Is y an integer? (1) When y is divided by two, the result is the squar  [#permalink]

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New post 31 Dec 2017, 14:03
Bunuel wrote:
Is y an integer?

(1) When y is divided by two, the result is the square of an integer.
(2) When y is multiplied by two, the result is the square of an integer


As this question has almost no technical details (numbers/equations) we'll look for a Logical approach.

(1) We'll start from the end: the square of an integer must be an integer.
Since an integer times 2 is still an integer, y must also be an integer.
Sufficient!

(2) Similarly to the above, the square of an integer is an integer.
However, without knowing if this integer is divisible by 2, we can't know if y is an integer or not.
Insufficient!

(A) is our answer.
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Re: Is y an integer? (1) When y is divided by two, the result is the squar &nbs [#permalink] 31 Dec 2017, 14:03
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