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

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

06 May 2012, 09:48

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Question Stats:

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25% (00:00) wrong

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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

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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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Re: If T divided by B equals 8.12 what is a possible remainder? [#permalink]

06 May 2012, 10:19

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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.

Answer: C.
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Intern

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.

Answer: C.

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

best regards

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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.

Answer: C.

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

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

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