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# If T divided by B equals 8.12 what is a possible remainder?

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Kudos [?]: 8 [0], given: 12

If T divided by B equals 8.12 what is a possible remainder? [#permalink]  06 May 2012, 09:48
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If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Last edited by Bunuel on 06 May 2012, 10:14, edited 1 time in total.
Edited the question
Intern
Joined: 12 Feb 2012
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GMAT Date: 05-30-2012
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Kudos [?]: 3 [0], given: 2

Re: If T divided by B equals 8.12 what is a possible Remainders [#permalink]  06 May 2012, 10:01
With the decimal being 12/100, the simplest form is 3/25. If the divisor is a multiple of 25, the remainder must be a multiple of 3. The only number that is so is 9. Answer C.
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Kudos [?]: 9608 [1] , given: 829

Re: If T divided by B equals 8.12 what is a possible remainder? [#permalink]  06 May 2012, 10:19
1
KUDOS
keiraria wrote:
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}, so the remainder must be a multiple of 3.

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Joined: 05 Apr 2012
Posts: 45
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Kudos [?]: 8 [0], given: 12

Re: If T divided by B equals 8.12 what is a possible remainder? [#permalink]  07 May 2012, 09:33
Bunuel wrote:
keiraria wrote:
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}, so the remainder must be a multiple of 3.

please why the remainder has to be a multiple of 3?
Thanks

best regards
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Joined: 02 Sep 2009
Posts: 11632
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Kudos [?]: 9608 [0], given: 829

Re: If T divided by B equals 8.12 what is a possible remainder? [#permalink]  07 May 2012, 09:43
keiraria wrote:
Bunuel wrote:
keiraria wrote:
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}, so the remainder must be a multiple of 3.

please why the remainder has to be a multiple of 3?
Thanks

best regards

x divided by y yields the remainder of r can always be expressed as: \frac{x}{y}=q+\frac{r}{y} (which is the same as x=qy+r), where q is the quotient and r is the remainder.

\frac{t}{b}=8\frac{3}{25}=8+\frac{3}{25}, so according to the above \frac{r}{b}=\frac{3}{25}, which means that r must be a multiple of 3. Only option C offers answer which is a multiple of 3.

Hope it's clear.
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Kudos [?]: 68 [0], given: 67

Re: If T divided by B equals 8.12 what is a possible remainder? [#permalink]  08 May 2012, 10:04
t/b=8 +0.12

Remainder/B=12/100=3/25

25*Remainder=3*B

ony answer choice C is divisible by 3

as Bunuel says - for more practice see the following - http://gmatclub.com/forum/if-x-and-y-are-positive-integers-such-that-x-y-132196.html hehe
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Re: If T divided by B equals 8.12 what is a possible remainder?   [#permalink] 08 May 2012, 10:04
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