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# If r is the remainder when the positive integer n is divided

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Manager
Joined: 30 Jul 2007
Posts: 130
If r is the remainder when the positive integer n is divided [#permalink]

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02 Oct 2008, 14:58
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If r is the remainder when the positive integer n is divided by 7, what is the value of r?

(1) When n is divided by 21, the remainder is an odd number.

(2) When n is divided by 28, the remainder is 3.
Intern
Joined: 29 Sep 2008
Posts: 46

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02 Oct 2008, 19:28
B

I - says remainder is odd on division by 21, but the remainder could be greater than 7. imagine a number like 53, division by 21 will give a remainder 11, which is odd but greater than 7 that means another 7 can fit between 42 and 53, and remainder on division by 7 will be 4. insuff

II - since remainder on division by 28 is less than 7, that means the same would be the remainder on division by 7. imagine a number like 59. thus sufficient.

this concept worked because both 21 and 28 were multiples of 7.
Manager
Joined: 22 Sep 2008
Posts: 119

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03 Oct 2008, 07:24

a: reminder is odd number , 24/21 => r = 3 > 3/7 = 3.. , 30/21=> r= 9> 9/7 = 2..

Insufficient

b: reminder is 3, 31/28 => r=3 >3/7=3.. , 59/28=> r =3 > 3/7 = 3...

Sufficient
Re: SZ-DS - remainder   [#permalink] 03 Oct 2008, 07:24
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