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# What is the remainder when the positive integer n is divided

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Manager
Joined: 04 Jan 2008
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What is the remainder when the positive integer n is divided [#permalink]

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10 Sep 2008, 01:19
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What is the remainder when the positive integer n is divided by 2?

(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.

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SVP
Joined: 17 Jun 2008
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10 Sep 2008, 05:01
From stmt 1, n could be 1,3,5,7,9......i.e. odd.
From stmt2, n could be 1,3,5,7,9,....i.e. odd

For both, remainder will be 1 when divided by 2.

Hence, D.

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Manager
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10 Sep 2008, 05:07
IMO B.

1 ) When n is divided by 5, the remainder is an odd integer : consider 1 an 6 => both cases reminder is 1, but when devided by 2, the reminder will be 1 and 0.

2 ) When n is divided by 10, the remainder is an odd integer => this means that the number is odd, so reminder will be 1 when devided by 2.

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Manager
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10 Sep 2008, 05:15
ssandeepan wrote:
IMO B.

1 ) When n is divided by 5, the remainder is an odd integer : consider 1 an 6 => both cases reminder is 1, but when devided by 2, the reminder will be 1 and 0.

2 ) When n is divided by 10, the remainder is an odd integer => this means that the number is odd, so reminder will be 1 when devided by 2.

I agree with Sandeep. B it should be.

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SVP
Joined: 17 Jun 2008
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10 Sep 2008, 11:09
ssandeepan wrote:
IMO B.

1 ) When n is divided by 5, the remainder is an odd integer : consider 1 an 6 => both cases reminder is 1, but when devided by 2, the reminder will be 1 and 0.
2 ) When n is divided by 10, the remainder is an odd integer => this means that the number is odd, so reminder will be 1 when devided by 2.

Right ssandeepan. I made another silly mistake.

In fact there are many even integers that will give a remainder of odd integer when n is divided by 5. Examples are 8, 16, etc.

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Director
Joined: 26 Jul 2007
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10 Sep 2008, 11:57
I get B as well.

(1) When n is divided by 5, the remainder is an odd integer.

N can be odd or even. Insuff

(2) When n is divided by 10, the remainder is an odd integer.

N must be odd. Therefore the remainder must be 1. Suff

Kudos [?]: 176 [0], given: 0

Re: Zumit DS 017   [#permalink] 10 Sep 2008, 11:57
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