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If X is greater than two, is X the square of an odd prime integer?

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Joined: 12 Jun 2016
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If X is greater than two, is X the square of an odd prime integer? [#permalink]

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New post 26 Jun 2016, 00:23
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  95% (hard)

Question Stats:

35% (01:24) correct 65% (01:29) wrong based on 43 sessions

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If X is greater than two, is X the square of an odd prime integer?

(1) X has exactly one composite number as factor.
(2) X has odd number of factors.
[Reveal] Spoiler: OA

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Kudos [?]: 34 [0], given: 124

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Re: If X is greater than two, is X the square of an odd prime integer? [#permalink]

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New post 26 Jun 2016, 02:58
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we know
x>2 &
A composite number is any number that has more than two factors.

S1 - X has exactly one composite number as factor
S2 - A prime number has exactly two factors, 1 and itself

source of the question is?

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WE: Sales (Telecommunications)
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Re: If X is greater than two, is X the square of an odd prime integer? [#permalink]

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New post 26 Jun 2016, 04:03
Hi Abhishek,

Thanks for the response.

The source of the question is from the CAT that I took from one of the coaching centre recently.


Sent from my iPhone using GMAT Club Forum mobile app
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Re: If X is greater than two, is X the square of an odd prime integer? [#permalink]

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New post 23 Sep 2017, 01:41
susheelh wrote:
If X is greater than two, is X the square of an odd prime integer?

(1) X has exactly one composite number as factor.
(2) X has odd number of factors.


Statement 1: this implies that x is a square of a prime number. but it could be an Odd prime square such as 9 whose only composite factor is 9 or it could be 4. Hence Insufficient

Statement 2: implies that x is a perfect square. but again x can be an odd or even perfect square. Hence Insufficient

Combining statement 1 & 2: we cannot determine whether x is 4 or x is square of any odd prime number. Hence Insufficient

Option E

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Re: If X is greater than two, is X the square of an odd prime integer?   [#permalink] 23 Sep 2017, 01:41
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If X is greater than two, is X the square of an odd prime integer?

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