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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? [#permalink]  06 May 2012, 09:48
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  Question Stats:
  
  75% (01:28) correct 25% (00:00) wrong based on 5 sessions
  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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  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
  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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  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
  GMAT Club team member
  Joined: 02 Sep 2009
  Posts: 11632
  Followers: 1802
  
  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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  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
  _________________
  
  Happy are those who dream dreams and are ready to pay the price to make them come true
  
  Re: If T divided by B equals 8.12 what is a possible remainder?   [#permalink] 08 May 2012, 10:04
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explanation: The given text is a math question asking for the possible remainder when T is divided by B, given that the result of the division is 8.12. The answer provided explains that the remainder must be a multiple of 3, and the only option that fits this criterion is 9.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Find all School-related info fast with the new School-Specific MBA Forum
  
   It is currently 25 May 2013, 07:10
  
  # If T divided by B equals 8.12 what is a possible remainder?
  
  Author Message
  TAGS:
  Intern
  Joined: 05 Apr 2012
  Posts: 45
  Followers: 0
  
  Kudos [?]: 8 [0], given: 12
  
  If T divided by B equals 8.12 what is a possible remainder? [#permalink]  06 May 2012, 09:48
  00:00
  
  Question Stats:
  
  75% (01:28) correct 25% (00:00) wrong based on 5 sessions
  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
  Posts: 15
  GMAT Date: 05-30-2012
  GPA: 4
  Followers: 0
  
  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.
  GMAT Club team member
  Joined: 02 Sep 2009
  Posts: 11632
  Followers: 1802
  
  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.
  
  _________________
  Intern
  Joined: 05 Apr 2012
  Posts: 45
  Followers: 0
  
  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
  GMAT Club team member
  Joined: 02 Sep 2009
  Posts: 11632
  Followers: 1802
  
  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.
  _________________
  Senior Manager
  Joined: 23 Oct 2010
  Posts: 335
  Location: Azerbaijan
  Followers: 6
  
  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
  _________________
  
  Happy are those who dream dreams and are ready to pay the price to make them come true
  
  Re: If T divided by B equals 8.12 what is a possible remainder?   [#permalink] 08 May 2012, 10:04
  Similar topics Replies Last post
  Similar
  Topics:
  What is the remainder when 3^32 is divided by 4? (A) 0 (B) 1 6 05 Sep 2004, 17:18
  1078 is divided by 56^r . What is the greatest possible 3 30 Nov 2005, 08:43
  What is the remainder of 3^19 when divided by 10 a) 0 b) 4 27 May 2006, 22:53
  If a and b are integers, and the remainder of a/b is equal 11 06 Nov 2007, 18:30
  What is the remainder when 4^96 is divided by 6? a) 0 b) 2 4 16 Dec 2007, 10:46
  Display posts from previous: Sort by
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The given text is a math question asking for the possible remainder when T is divided by B, given that the result of the division is 8.12. The answer provided explains that the remainder must be a multiple of 3, and the only option that fits this criterion is 9.
  
  Label: question-and-answer