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# If n is an integer between 2 and 100 and if n is also a

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Director
Joined: 27 Jun 2008
Posts: 542
WE 1: Investment Banking - 6yrs
If n is an integer between 2 and 100 and if n is also a [#permalink]

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26 Sep 2008, 06:05
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If n is an integer between 2 and 100 and if n is also a square of an integer, what is the value of n?

1) n is even
2) The cube root of n is an interger
Intern
Joined: 02 Sep 2008
Posts: 45

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26 Sep 2008, 06:52
C.

St1: n is a even number.

St2: the cube root of n is an integer.

we have 8, 27, and 64.

now, cube root of 8 is 2 which is not in range. as we are finiding between 2 and 100.

cube root of 27 is 3 which is in the rage but it is odd.

and cube root of 64 which is 4 and it is in range and even.

So, n is equal to 4. Hence both are sufficient to answer the question.
Director
Joined: 27 Jun 2008
Posts: 542
WE 1: Investment Banking - 6yrs

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26 Sep 2008, 12:10
Its not C, and I dont know why.

C is what I had selected too.
SVP
Joined: 07 Nov 2007
Posts: 1800
Location: New York

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26 Sep 2008, 12:22
pawan203 wrote:
Its not C, and I dont know why.

C is what I had selected too.

Agree with C..

What is the source?
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Smiling wins more friends than frowning

Director
Joined: 27 Jun 2008
Posts: 542
WE 1: Investment Banking - 6yrs

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26 Sep 2008, 12:30
OA is B

I dont know how?

Source is OG 10, I think its wrong though.
SVP
Joined: 07 Nov 2007
Posts: 1800
Location: New York

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26 Sep 2008, 12:33
pawan203 wrote:
OA is B

I dont know how?

Source is OG 10, I think its wrong though.

oops it should be B..
I overlooked the question..
it says n is square of integer.
8 and 27 are not square of any integer.

B should be sufficient.
_________________

Smiling wins more friends than frowning

SVP
Joined: 05 Jul 2006
Posts: 1747

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26 Sep 2008, 12:40
pawan203 wrote:
If n is an integer between 2 and 100 and if n is also a square of an integer, what is the value of n?

1) n is even
2) The cube root of n is an interger

if

2< n<100 , n = x^2

from one

n has multiple values...insuff

from b

n in the form x^2 = 4,9,16,25,36,49,64,81,100
n in the form b^3 = 8,27,64

64 is common

n = 64.........suff.............b
Director
Joined: 27 Jun 2008
Posts: 542
WE 1: Investment Banking - 6yrs

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26 Sep 2008, 12:47
Pawan - Read between the lines!! Actually, read the entire line : properly.

Got it, thanks guys.
Re: DS - 239   [#permalink] 26 Sep 2008, 12:47
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