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When positive integer m is divided by positive integer n, the

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When positive integer m is divided by positive integer n, the  [#permalink]

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New post 11 Aug 2019, 05:10
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When positive integer \(m\) is divided by positive integer \(n\), the remainder is 27. If \(\frac{m}{n} = 75.018\), what is the value of \(n\)?

A. 1800

B. 1500

C. 1280

D. 750

E. 480

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Re: When positive integer m is divided by positive integer n, the  [#permalink]

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New post 11 Aug 2019, 05:42
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IMO B

"When positive integer m is divided by positive integer n, the remainder is 27"
m=nx+27
x is quotient

m=75.018n
75.018n=nx+27
75.018n=75n+27
n(75.018-75)=27
n=27/0.018
n=1500

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Re: When positive integer m is divided by positive integer n, the  [#permalink]

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New post 11 Aug 2019, 05:55
m/n = 75.018 = 75 + 0.018
Remainder of m/n = 27 = n*0.018
18n/1000 = 27
n = 3/2 * 1000 = 1500


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When positive integer m is divided by positive integer n, the  [#permalink]

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New post 11 Aug 2019, 05:59
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A division can be expressed in the form

\(\frac{Dividend}{Divisor} = Quotient + \frac{Remainder}{Divisor}\)

\(\frac{m}{n}=75+0.018=75+\frac{18}{1000}=75+\frac{9}{500}=75+\frac{27}{1500}\)

So n=1500

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Re: When positive integer m is divided by positive integer n, the  [#permalink]

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New post 11 Aug 2019, 11:39
SajjadAhmad wrote:
When positive integer \(m\) is divided by positive integer \(n\), the remainder is 27. If \(\frac{m}{n} = 75.018\), what is the value of \(n\)?

A. 1800

B. 1500

C. 1280

D. 750

E. 480


18/1000=27/n→
n=1500
B
GMAT Club Bot
Re: When positive integer m is divided by positive integer n, the   [#permalink] 11 Aug 2019, 11:39
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