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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]  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]  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]  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]  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]  07 Sep 2014, 11:38
Bunuel wrote:
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.

Hi Bunuel,
need ur help buddy..
Actually,when i came at the end of this problem, i had 3 and 9 as factors of 27..But,as it was given,the remainder is a factor of 27..so it only has to be 3,since 9 is greater than 8..i understand that when we divide9 by 8,we get 1 as remainder,but we are explicitly told that remainder is a factor of 27 and 1 is not a factor,so we are left with just 3..
please clear my understanding..thanks
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Re: What is the remainder r when x is divided by 8? x is a posit [#permalink]  07 Sep 2014, 11:48
Expert's post
vards wrote:
Bunuel wrote:
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.

Hi Bunuel,
need ur help buddy..
Actually,when i came at the end of this problem, i had 3 and 9 as factors of 27..But,as it was given,the remainder is a factor of 27..so it only has to be 3,since 9 is greater than 8..i understand that when we divide9 by 8,we get 1 as remainder,but we are explicitly told that remainder is a factor of 27 and 1 is not a factor,so we are left with just 3..
please clear my understanding..thanks

1 is a factor of every integer.

Check for more here: divisibility-multiples-factors-tips-and-hints-174998.html

Hope it helps.
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Re: What is the remainder r when x is divided by 8? x is a posit   [#permalink] 07 Sep 2014, 11:48
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