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# When positive integer a is divided by positive integer b, yielding quo

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Math Expert
Joined: 02 Sep 2009
Posts: 44657
When positive integer a is divided by positive integer b, yielding quo [#permalink]

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09 Oct 2016, 03:01
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65% (hard)

Question Stats:

54% (01:25) correct 46% (01:24) wrong based on 189 sessions

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When positive integer a is divided by positive integer b, yielding quotient q and remainder r, the result is 5.125. Which of the following must be true?

A. r=1
B. q>r
C. b=8
D. 8r=b
E. 8b=r
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Aug 2009
Posts: 5777
Re: When positive integer a is divided by positive integer b, yielding quo [#permalink]

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09 Oct 2016, 05:18
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Bunuel wrote:
When positive integer a is divided by positive integer b, yielding quotient q and remainder r, the result is 5.125. Which of the following must be true?

A. r=1
B. q>r
C. b=8
D. 8r=b
E. 8b=r

Given is a=5.125b=(5+0.125)b...
Here 0.125b is the remainder...
So 0.125b=r...
0.125 is nothing but $$\frac{1}{8}$$......
So $$\frac{b}{8}=r........b=8r$$...
D
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink]

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09 Oct 2016, 05:30
a/b = Q + r/b

r/b = 0.125 = 1/8

b=8r

D
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Joined: 09 Sep 2013
Posts: 6647
Re: When positive integer a is divided by positive integer b, yielding quo [#permalink]

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17 Dec 2017, 03:29
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: When positive integer a is divided by positive integer b, yielding quo   [#permalink] 17 Dec 2017, 03:29
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