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Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 3478
GPA: 3.39
When positive integer m is divided by positive integer n, the  [#permalink]

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1 00:00

Difficulty:   35% (medium)

Question Stats: 83% (01:44) correct 17% (01:29) wrong based on 12 sessions

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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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Manager  G
Joined: 07 Aug 2017
Posts: 84
Location: India
GPA: 4
WE: Information Technology (Consulting)
Re: When positive integer m is divided by positive integer n, the  [#permalink]

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1
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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Intern  B
Joined: 05 Nov 2017
Posts: 9
Re: When positive integer m is divided by positive integer n, the  [#permalink]

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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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Senior Manager  P
Joined: 16 Jan 2019
Posts: 426
Location: India
Concentration: General Management
WE: Sales (Other)
When positive integer m is divided by positive integer n, the  [#permalink]

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1
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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VP  P
Joined: 07 Dec 2014
Posts: 1231
Re: When positive integer m is divided by positive integer n, the  [#permalink]

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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 Re: When positive integer m is divided by positive integer n, the   [#permalink] 11 Aug 2019, 11:39
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# When positive integer m is divided by positive integer n, the

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