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Math Expert V
Joined: 02 Sep 2009
Posts: 59182
When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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24 00:00

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

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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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##### General Discussion
Retired Moderator P
Joined: 04 Aug 2016
Posts: 475
Location: India
GPA: 4
WE: Engineering (Telecommunications)
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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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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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  B
Joined: 08 Sep 2016
Posts: 100
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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a/b = q + r
a/b = 5 + .125

r/b = 125/1000

r/b = 1/8

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

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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)
Target Test Prep Representative V
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Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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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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Director  P
Joined: 18 Dec 2017
Posts: 715
Location: United States (KS)
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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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

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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Intern  B
Joined: 03 Oct 2016
Posts: 29
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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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

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

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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 V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8427
Location: United States (CA)
Re: When positive integer a is divided by positive integer b, yielding quo  [#permalink]

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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

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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