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

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Manager
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What is the remainder when the positive integer x is divided [#permalink]  09 May 2008, 07:30
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What is the remainder when the positive integer x is divided by 8?

1) when x is divided by 12, the remainder is 5
2) when x is divided by 18, the remainder is 11
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Re: DS: remainder [#permalink]  09 May 2008, 07:56
puma wrote:
What is the remainder when the positive integer x is divided by 8?

1) when x is divided by 12, the remainder is 5
2) when x is divided by 18, the remainder is 11

statement 1: x = 5, 17, 29, 41, 65....
x/8 could have 5 or 1 as the remainder
insuff

statement 2: x = 11, 29, 47, 65...
x/8 could have 3 or 5 or 7 as the remainder
insuff

together, 29 and 65 work for both statements, but they have different remainders when divided by 8

my guess is e
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Re: DS: remainder [#permalink]  09 May 2008, 08:06
puma wrote:
What is the remainder when the positive integer x is divided by 8?

1) when x is divided by 12, the remainder is 5
2) when x is divided by 18, the remainder is 11

1) x=12N+5 x=5, 17, 34, 51....

17/8 r=1, 34/8 r=2..insuff

2) x=18N+11 x=11, 29, 58, 87...

11/8 r=3 29/8 r=5..

however together..lets see..

a number thats divisible by both 29 and 17..say 55 or 28*17=493.in both cases the r=different

E it is..
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Re: DS: remainder [#permalink]  09 May 2008, 23:55
I think the questions is pretty straight forward

IMO E is the answer.. here is the explanation

from statement 1 we know that x = 12 N + 5 and the numbers that can fit the bill here are 17, 29, 65 et cetera

from statement 2 we know that x = 18 N + 11 and the numbers that can fit the bill here are 29, 47, 65 et cetera

Even if u combine both the statements u still have more than one number which can satisfy both the equations (i.e. statement 1 and 2)

for e.g 29 and 65 both satisfy the condition

and if 29 / 8 leaves a remainder of 5 and 65 divided by 8 leaves the remainder 1 so both statements put together are insufficent.

Hope this helps

what is the OA to the question
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Re: DS: remainder   [#permalink] 09 May 2008, 23:55
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