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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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11 Aug 2019, 04:10
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79% (01:32) correct 21% (01:48) wrong based on 29 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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WE: Information Technology (Consulting)
Re: When positive integer m is divided by positive integer n, the  [#permalink]

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11 Aug 2019, 04:42
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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Re: When positive integer m is divided by positive integer n, the  [#permalink]

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11 Aug 2019, 04:55
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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11 Aug 2019, 04:59
2
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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11 Aug 2019, 10:39
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, 10:39