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

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

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30 Apr 2008, 01:50
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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 > 20
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30 Apr 2008, 02:22
(1) n + 1 is divisible by 3
means 7 (n + 1) or 7n + 7 is divisible by 3. And if x is divisible by three, x - 3 is also divisible by 3. Hence (7n + 7) - 4 = 7n +4 is divisible by 3. SUFFICIENT

(2) n > 20
No information INSUFFICIENT
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02 May 2008, 09:04
1)

7n+4=(4n+4)+3*n=4*(n+1)+3*n->

4*(n+1)/3+3*n/3

we know that n+1 is divisible by 3 and 3 is divisible by 3

sufficient

2)
test n=1
11/3=3R2
test n=5
39/3=13R0

insufficient

A
Re: GMAT Prep DS   [#permalink] 02 May 2008, 09:04
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