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What is the remainder when the positive integer n is divided

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What is the remainder when the positive integer n is divided [#permalink] New post 26 Sep 2010, 11:44
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What is the remainder when the positive integer n is divided by 3?
(1) The remainder when n is divided by 2 is 1.
(2) The remainder when n + 1 is divided by 3 is 2
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Re: Remainder problem [#permalink] New post 26 Sep 2010, 11:53
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udaymathapati wrote:
What is the remainder when the positive integer n is divided by 3?
(1) The remainder when n is divided by 2 is 1.
(2) The remainder when n + 1 is divided by 3 is 2


(1) The remainder when n is divided by 2 is 1 --> n=2k+1, just tells us that n is odd. Not sufficient.
(2) The remainder when n + 1 is divided by 3 is 2 --> n+1=3q+2 --> n=3q+1, hence n divided by 3 yields remainder of 1. Sufficient.

Answer: B.
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Re: Remainder problem [#permalink] New post 26 Sep 2010, 13:27
udaymathapati wrote:
What is the remainder when the positive integer n is divided by 3?
(1) The remainder when n is divided by 2 is 1.
(2) The remainder when n + 1 is divided by 3 is 2



Lets take another approach if you couldnt derive what bunnel did.

1. remainder n/2 =1
lets try some numbers:
n=3 remainder =1 n/3 remainder =0
n=5 remainder = 1 5/3 remainder =2
So NO FOOD

2.
n=4 n+1 =5 5/3 =2 4/3 =1
n=7 n+1=8 8/3=2 7/3 =1

Notice how the trend is every 3 for n. so it is working correctly

B
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N is divided by 3 [#permalink] New post 25 Oct 2010, 08:48
What is the remainder when the positive integer n is divided by 3?
(1) The remainder when n is divided by 2 is 1
(2) The remainder when n+1 is divided by 3 is 2
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N is divided by 3   [#permalink] 25 Oct 2010, 08:48
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