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If K is a positive integer, is K the square of an integer?

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Senior Manager
Joined: 11 Sep 2005
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If K is a positive integer, is K the square of an integer? [#permalink]  14 Oct 2007, 03:34
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If K is a positive integer, is K the square of an integer?

(1)K is divisible by 4
(2)K is divisible by exactly 4 different prime numbers
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 99 [0], given: 0

(E) for me

k = j^2 ?

Stat1
o If K=4 then k = 2^2
o If K=8 then k is not a square of an integer

INSUFF.

Stat2
o If K = 2*3*5*7 then k is not a square of an integer
o If K = 2^2 * 3^2 * 5^2 * 7^2 then k = (2*3*5*7)^2

INSUFF.

Both 1 & 2
o If K = 2^2 *3*5*7 then k is not a square of an integer
o If K = 2^2 * 3^2 * 5^2 * 7^2 then k = (2*3*5*7)^2

INSUFF.
Director
Joined: 03 May 2007
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Schools: University of Chicago, Wharton School
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Re: DS- SET 21 Q18-easy [#permalink]  14 Oct 2007, 07:39
singh_amit19 wrote:
If K is a positive integer, is K the square of an integer?

(1)K is divisible by 4
(2)K is divisible by exactly 4 different prime numbers

1: k could be 8.
2: k could be divisible by 2, 3, 5, and 7 or their square.

1 and 2: also nsf. k could be divisible by 4, 3, 5, and 7 or their square. so E.
Intern
Joined: 23 Sep 2007
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Shouldn't it be B..

If K is divisible by 4 different prime numbers it wont be the square of an integer.
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Joined: 01 May 2006
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Re: B [#permalink]  14 Oct 2007, 08:27
singaks wrote:
Shouldn't it be B..

If K is divisible by 4 different prime numbers it wont be the square of an integer.

The problem is that if we understand the question this way, we could not understand how to combine the statment 1 with the 2.... 4 = 2*2 ... A GMAT question never has 2 statments that contradict one another
Director
Joined: 30 Nov 2006
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Location: Kuwait
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Nice catch FIG !!

By the way, How's the MBA going so far ?
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Joined: 01 May 2006
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Mishari wrote:
Nice catch FIG !!

By the way, How's the MBA going so far ?

Not yet started ... It's on January 08 .... So I still have some time to come with u guys, helping if I can
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