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What is the remainder when positive integer x is divided by

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Joined: 09 Dec 2006
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What is the remainder when positive integer x is divided by [#permalink]  15 Jan 2007, 14:36
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What is the remainder when positive integer x is divided by 6?

(1) When x is divided by 2, the remainder is 1; when x is divided by 3, the remainder is 0
(2) When x is divided by 12, the remainder is 3
Senior Manager
Joined: 24 Nov 2006
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Re: DS: remainder (GMATprep) [#permalink]  15 Jan 2007, 14:54
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kjmath wrote:
What is the remainder when positive integer x is divided by 6?

(1) When x is divided by 2, the remainder is 1; when x is divided by 3, the remainder is 0
(2) When x is divided by 12, the remainder is 3

(1) x = 2n + 1 (n=0,1,2...)
x = 3n
=> x = 3, 9, 15, 21, 27...
=> x mod 6 = 3, 3, 3, 3, 3... Suff => A or D.

(2) x = 12n + 3
=> x = 3, 15, 27, 39, 51...
=> x mod 6 = 3, 3, 3, 3, 3... Suff => D.

Note: the ns given in (1) and (2) are generic, intended to describe the stem in numbers. They donÂ´t need to have the same value in every case.
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What is the remainder when positive integer x is divided by 6?

(1) When x is divided by 2, the remainder is 1; when x is divided by 3, the remainder is 0
(2) When x is divided by 12, the remainder is 3

from one

x is odd multiple of 3 any odd multple of 3 wn devided by 6 a remainder of 3 is always there .......suff

from two

x= 12 p + 3 devide the equation by six = 2p + 3/6 ie always a remainder of 3 will be there .....suff

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