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

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Bunuel
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When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   09 Oct 2016, 03:01
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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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chetan2u
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   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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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   09 Oct 2016, 05:30
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a/b = Q + r/b

r/b = 0.125 = 1/8

b=8r

D
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   08 Jun 2018, 02:02
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?
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   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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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   08 Jun 2018, 18:37
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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] New post   12 Jun 2018, 11:09
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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


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

Answer: D
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   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?

Thank you in advance!
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   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???

Thanks in Advance
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   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

Answer: D



how did you come on this conclusion?
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   13 Oct 2019, 17:47
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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

Answer: D



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
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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   02 Aug 2021, 23:41
Rule to remember with respect to remainders and a terminating decimal. It will always be true that:


(Decimal Portion of Quotient) * (Divisor) = Integer Remainder

a/b = 5.125


Decimal Version of the Remainder = .125

Divisor = b

We are told that the integer remainder = r


(.125) (b) = r

Fraction Conversion to memorize: 1/8 = .125


(b) / (8) = r

—-multiply both sides by *8—-

b = 8r

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Re: When positive integer a is divided by positive integer b, yielding quo [#permalink] New post   10 May 2023, 05:35
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