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

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Senior Manager
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If K is a positive integer, is K the square of an integer? [#permalink] New post 14 Oct 2007, 03:34
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A
B
C
D
E

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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
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 [#permalink] New post 14 Oct 2007, 04:25
(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.
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Re: DS- SET 21 Q18-easy [#permalink] New post 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.
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[#permalink] New post 14 Oct 2007, 08:17
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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Re: B [#permalink] New post 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 :)
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 [#permalink] New post 14 Oct 2007, 11:11
Nice catch FIG !! :-D

By the way, How's the MBA going so far ?
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 [#permalink] New post 14 Oct 2007, 12:03
Mishari wrote:
Nice catch FIG !! :-D

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 :)
  [#permalink] 14 Oct 2007, 12:03
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If K is a positive integer, is K the square of an integer?

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