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What is the remainder r when x is divided by 8? x is a posit

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What is the remainder r when x is divided by 8? x is a posit [#permalink] New post 19 May 2010, 00:51
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What is the remainder r when x is divided by 8? x is a positive integer.

(1) x yields remainder of 9 when divided by 12
(2) r is a factor of 27
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Re: Remainder [#permalink] New post 19 May 2010, 01:56
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dimitri92 wrote:
What is the Remainder R when X is divided by 8? X is a positive integer.

(1) X yields 9 when divided by 12
(2) R is a factor of 27


x=8q+r, 0\leq{r}<8 (remainder must be less than divisor). Question r=?.

(1) Think this statement should be: "x yields remainder of 9 when divided by 12" --> x=12p+9, x can take following values: 9, 21, 33, 45, 57, ... This values divided by 8 can give remainder of 1 or 5. Two values. Not sufficient.

(2) rk=27, as 0\leq{r}<8, then r can take only two values: 1 or 3. Two values. Not sufficient.

(1)+(2) Intersection of values from (1) and (2) is r=1. Sufficient.

Answer: C.
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Re: Remainder [#permalink] New post 19 May 2010, 02:32
hmm ..i missed this part of finding the remainder in 1 ...hope i dont repeat this mistake on GMAT
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Re: What is the remainder r when x is divided by 8? x is a posit [#permalink] New post 19 Feb 2014, 12:58
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Re: What is the remainder r when x is divided by 8? x is a posit   [#permalink] 19 Feb 2014, 12:58
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