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# K is positive integer. Is K square of an interger? 1. K is

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Intern
Joined: 04 Aug 2008
Posts: 10
K is positive integer. Is K square of an interger? 1. K is [#permalink]

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17 Oct 2008, 10:11
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K is positive integer. Is K square of an interger?

1. K is divisible by 4.

2. K is divisible by exactly 4 different prime numbers.

--== Message from GMAT Club Team ==--

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VP
Joined: 17 Jun 2008
Posts: 1479

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17 Oct 2008, 12:20
E.

Stmt1: K = 4, 8....insufficient.

Stmt2: k = 2*3*5*7 or k=2^2*3^2*5^2*7^2....insufficient.

Combining two....k can be 2^2*3*5*7 or 2^2*3^2*5^2*7^2...insufficient.
VP
Joined: 17 Jun 2008
Posts: 1290

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17 Oct 2008, 14:03
micky577 wrote:
K is positive integer. Is K square of an interger?

1. K is divisible by 4.

2. K is divisible by exactly 4 different prime numbers.

1) is insufficint since multiples of 4 4,8,12,16 ... etc sometimes squares some not
2)2*3*5*7 or (2*3*5*7)^2 etc ... can be square or cannot be !!INSFFI

Consider both :
2*3*5*7*4 is not a square
or (2*3*5*7)^2 *4 is a square
HENCE INSUFFI

IMO E
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Its Now Or Never

Director
Joined: 23 May 2008
Posts: 743

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17 Oct 2008, 16:44
micky577 wrote:
K is positive integer. Is K square of an interger?

1. K is divisible by 4.

2. K is divisible by exactly 4 different prime numbers.

does this mean the same as: K is a positive integer is K^2 an integer?
Manager
Joined: 15 Oct 2008
Posts: 102

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17 Oct 2008, 16:59
micky577 wrote:
K is positive integer. Is K square of an interger?

1. K is divisible by 4.

2. K is divisible by exactly 4 different prime numbers.

does this mean the same as: K is a positive integer is K^2 an integer?

Answer: it is not the same. I think it is like this k=x^2 - so the question is whether x is an integer if you know k is an integer and K is divisible by 4 or k is divisible by exactly by 4 different prime numbers.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Gmat -Prep DS   [#permalink] 17 Oct 2008, 16:59
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