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505-555 (Easy)|   Remainders|      
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Bunuel
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When positive integer m is divided by positive integer n, the remainde 13 Sep 2021, 02:11
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87% (01:53) correct 13% (02:19) wrong based on 99 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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When positive integer m is divided by positive integer n, the remainde 22 Sep 2021, 00:08
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Bunuel
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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\(\frac{m}{n} = 75.018\)

\(m= n*75 + n *.018 \)

Given \(n*0.018 = 27\)

\(n =\frac{27}{.018} = 1500\)

Ans-B

Hope it's clear.
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When positive integer m is divided by positive integer n, the remainde 22 Sep 2021, 03:50
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stne
Bunuel
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

\(\frac{m}{n} = 75.018\)

\(m= n*75 + n *.018 \)

Given \(n*0.018 = 27\)

\(n =\frac{27}{.018} = 1500\)

Ans-B

Hope it's clear.
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Can you please explain the last part, please?
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When positive integer m is divided by positive integer n, the remainde 22 Sep 2021, 09:02
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satyam43298
stne
Bunuel
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

\(\frac{m}{n} = 75.018 * n\)

\(m= n*75 + n *.018 \)

Given \(n*0.018 = 27\)

\(n =\frac{27}{.018} = 1500\)

Ans-B

Hope it's clear.








Can you please explain the last part, please?
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Dear satyam43298,

We know \(\frac{m}{n} = 75.018\)

\(m = 75.018n\)

\(m= 75 n + .018n\)

Where \(.018n =\) remainder

Also we are given that remainder is \(= 27 \)

hence \(.018n =27\)

Hence \(n =\frac{27}{.018} = \frac{27000}{18} = \frac{3000}{2} = 1500\)

Hope it's clear.
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Schools: XLRI (A)
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When positive integer m is divided by positive integer n, the remainde 27 Dec 2023, 12:26
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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?

\(\frac{m}{n}\) = 75.018
=> m = 75.018n = (75 + 0.018)n = 75n + 0.018n

=> m when divided by n gives 75 as the quotient and 0.018n as the remainder
=> 0.018n = 27
=> n = \(\frac{27}{0.018}\) = \(\frac{27000}{18}\) = \(\frac{3000}{2}\) = 1500

So, Answer will be B
Hope it helps!

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