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# If n is a positive integer and r is the remainder when 4 +

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Director
Joined: 06 Sep 2006
Posts: 736
If n is a positive integer and r is the remainder when 4 + [#permalink]

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22 Jul 2007, 15:04
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If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r?

(1) n + 1 is divisible by 3.
(2) n > 3
Senior Manager
Joined: 28 Jun 2007
Posts: 454

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22 Jul 2007, 15:21
A alone is sufficient.

4 + 7(3x-1) = 21x + 3. It will be always divisible by 3.

Second is clearly insuffiicent
Manager
Joined: 27 May 2007
Posts: 128

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22 Jul 2007, 15:58
ioiio wrote:
A alone is sufficient.

4 + 7(3x-1) = 21x + 3. It will be always divisible by 3.

Second is clearly insuffiicent

ioiio,
Could you show step by step how you set that up? I have trouble with this type of problem.

thanks
Senior Manager
Joined: 28 Jun 2007
Posts: 454

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22 Jul 2007, 16:33
Robin in NC wrote:
ioiio wrote:
A alone is sufficient.

4 + 7(3x-1) = 21x + 3. It will be always divisible by 3.

Second is clearly insuffiicent

ioiio,
Could you show step by step how you set that up? I have trouble with this type of problem.

thanks

From A, n + 1 is divisible by 3.
So n+1 = 3x. x is an unknown integer.
so n = 3x-1.

4 + 7 (3x -1) = 21x - 3.
Dividing it by 3
It reduces to 7x - 1 and you can see that there cant be any reminder when x is an integer.

Hope that helps.
22 Jul 2007, 16:33
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