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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]

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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
[Reveal] Spoiler: OA
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26 Sep 2010, 11:53
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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 --> $$n=2k+1$$, 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.

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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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Re: What is the remainder when the positive integer n is divided [#permalink]

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15 Aug 2013, 22:02
n=3A+r

What is r?

(1).

n=2B+1 => N is odd but odd numbers also can give different remainders when divided by 3 .
INSUFFICIENT

(2).

n+1 = 3C +2
n= 3C +1

REM=1

Hence (B) it is !!
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Re: What is the remainder when the positive integer n is divided [#permalink]

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03 Feb 2016, 12:36
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the remainder when the positive integer n is divided   [#permalink] 03 Feb 2016, 12:36
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