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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, 10:44
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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, 10:53
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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.

Answer: B.
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Re: Remainder problem [#permalink] New post 26 Sep 2010, 12:27
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] New post 15 Aug 2013, 21:02
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] 15 Aug 2013, 21:02
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