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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: 59182
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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Difficulty:

75% (hard)

Question Stats:

55% (01:55) correct 45% (01:54) wrong based on 384 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

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Math Expert
Joined: 02 Aug 2009
Posts: 8198
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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09 Oct 2016, 05:18
8
5
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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Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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09 Oct 2016, 05:30
2
a/b = Q + r/b

r/b = 0.125 = 1/8

b=8r

D
Intern
Joined: 07 Nov 2015
Posts: 1
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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08 Jun 2018, 02:02
1
What if we pick numbers 82 for a and 16 for b? Then D isn't true (r = 0.125, b = 16), but the intent of the passage is preserved, right?
Manager
Joined: 08 Sep 2016
Posts: 100
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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08 Jun 2018, 17:51
a/b = q + r
a/b = 5 + .125

r/b = 125/1000

r/b = 1/8

8r=b
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Joined: 26 Mar 2013
Posts: 2344
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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08 Jun 2018, 18:37
1
sakeofall wrote:
What if we pick numbers 82 for a and 16 for b? Then D isn't true (r = 0.125, b = 16), but the intent of the passage is preserved, right?

$$\frac{82}{16} = 5 + \frac{2}{16}$$

r/b = 2/16 = 1/8 = 0.125.........D holds true in that case too. b = 8r (16 = 8 *2)
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Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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12 Jun 2018, 11:09
1
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

We can create the equations:

a/b = q + r/b

and

a/b = 5 + 0.125

a/b = 5 + 125/1000

a/b = 5 + 1/8

Thus,

r/b = 1/8

8r = b

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# Scott Woodbury-Stewart

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Scott@TargetTestPrep.com
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Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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08 Sep 2019, 18:55
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

So are we saying we are dividing 5125/1000? And then we write the equation dividend=(divisor*quotient)+remainder in terms of a,b,q and r; and then we can find what must be true?

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

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12 Sep 2019, 19:39
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

I didnt get this question: According to me A/B=5.125
5 125/1000= 5 1/8
5= q, 1=r, 8=b(divisor) therefore all the above answers looks true to me except the last one. Can somebody explain where I am going wrong???

Intern
Joined: 30 Sep 2019
Posts: 32
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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03 Oct 2019, 11:08
ScottTargetTestPrep wrote:
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

We can create the equations:

a/b = q + r/b

and

a/b = 5 + 0.125

a/b = 5 + 125/1000

a/b = 5 + 1/8

Thus,

r/b = 1/8

8r = b

how did you come on this conclusion?
Target Test Prep Representative
Status: Founder & CEO
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Location: United States (CA)
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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13 Oct 2019, 17:47
breatheanddoit wrote:
ScottTargetTestPrep wrote:
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

We can create the equations:

a/b = q + r/b

and

a/b = 5 + 0.125

a/b = 5 + 125/1000

a/b = 5 + 1/8

Thus,

r/b = 1/8

8r = b

how did you come on this conclusion?

Since a/b = Q + r/b and a/b = 5 + 1/8:

We can say that r/b= 1/8
_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: When positive integer a is divided by positive integer b, yielding quo   [#permalink] 13 Oct 2019, 17:47
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