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

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Manager
Joined: 10 Jul 2009
Posts: 171
Followers: 1

Kudos [?]: 41 [0], given: 8

If n is a positive integer and r is the remainder when [#permalink]  28 Jul 2009, 21:08
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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. n is not divisible by 2
2. n is not divisible by 3
Manager
Joined: 19 Jun 2009
Posts: 141
Location: India
Concentration: Strategy, General Management
GMAT 1: 650 Q51 V27
GMAT 2: 710 Q48 V39
GPA: 3.2
WE: Engineering (Computer Hardware)
Followers: 5

Kudos [?]: 17 [0], given: 21

Re: DS - Value of r [#permalink]  28 Jul 2009, 22:53
Aleehsgonji 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. n is not divisible by 2
2. n is not divisible by 3

1. We know n is not divisible. So, n-1 & n+1 is definitely divisible by 2. But, it's not sufficient to determine 'r'.

2. Even this option does not lead anywhere.

1+2.

If 'n' is not divisible by 2 & 3, it has to be a prime number or a product of prime numbers.

Now, take some examples of such numbers (5,7,35,95 etc.). And you will find that remainder is always '0'.
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Intern
Status: Applying
Joined: 30 Jul 2009
Posts: 39
Followers: 0

Kudos [?]: 4 [0], given: 3

Re: DS - Value of r [#permalink]  31 Jul 2009, 11:30
I[EDIT - REMOVED BY USER]
Re: DS - Value of r   [#permalink] 31 Jul 2009, 11:30
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# If n is a positive integer and r is the remainder when

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