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# If n is a positive integer and r is the remainder when ( n+1

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If n is a positive integer and r is the remainder when ( n+1 [#permalink]

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14 Sep 2008, 19:25
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If n is a positive integer and r is the remainder when ( n+1 )( n+1 ) is divided by 24, what is the value of r?

1) 2 is not a factor of n
2) 3 is not a factor of n
Director
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Re: DS... Factoring - Remainders [#permalink]

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14 Sep 2008, 20:36
IgnitedMind wrote:
If n is a positive integer and r is the remainder when ( n+1 )( n+1 ) is divided by 24, what is the value of r?

1) 2 is not a factor of n
2) 3 is not a factor of n

1) implies that n is odd. n+1 will be even.
if n = 1, (n+1)^2 = 4 r= 4
if n = 3 , (n+1)^2 = 16 ; r = 4

if n = 7 (n+1)^2 = 64 ; r =5

insuff alone

2) let n = 2, (n+1)^2 = 9 ; r =9
n = 6, (n+1)^2 = 49 ; r = 1

insuff

together insuff.
n = 5, (n+1)^2 = 36 ; r = 12
n = 7, (n+1)^2 = 64; r = 16

E.
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Re: DS... Factoring - Remainders [#permalink]

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14 Sep 2008, 21:34
IgnitedMind wrote:
If n is a positive integer and r is the remainder when ( n+1 )( n+1 ) is divided by 24, what is the value of r?

1) 2 is not a factor of n
2) 3 is not a factor of n

did you get the queation correct? seems the question is not put correctly.
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Re: DS... Factoring - Remainders [#permalink]

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14 Sep 2008, 22:47
GMAT TIGER wrote:
IgnitedMind wrote:
If n is a positive integer and r is the remainder when ( n+1 )( n+1 ) is divided by 24, what is the value of r?

1) 2 is not a factor of n
2) 3 is not a factor of n

did you get the queation correct? seems the question is not put correctly.

I have seen this question in GMATPrep with the expression as (n-1)(n+1).....

However, with the variation in the question above, I agree with E as the answer.
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Re: DS... Factoring - Remainders [#permalink]

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16 Sep 2008, 10:47
(n-1)(n+1) is contains an important property that the GMAT likes. The reason is that if n is even, then the product of (n-1)(n+1) is odd--two odds multiplied together are odd.

Here is a REALLY difficult GMAT practice question that I found that might be helpful for u.
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Re: DS... Factoring - Remainders [#permalink]

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17 Sep 2008, 09:01
GMATxpert wrote:
(n-1)(n+1) is contains an important property that the GMAT likes. The reason is that if n is even, then the product of (n-1)(n+1) is odd--two odds multiplied together are odd.

Here is a REALLY difficult GMAT practice question that I found that might be helpful for u.

i found, on that site, some contradictory questions that are not up to the real gmat level. sometimes, having to much materials is not helpful as desired. one could loose the focus and easily get lost..
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Re: DS... Factoring - Remainders   [#permalink] 17 Sep 2008, 09:01
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