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When m is divided by n, the remainder is 14. If m/n= 65.4, what is the

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Intern
Joined: 05 Dec 2018
Posts: 9
When m is divided by n, the remainder is 14. If m/n= 65.4, what is the  [#permalink]

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Updated on: 12 Feb 2019, 07:30
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61% (01:44) correct 39% (02:13) wrong based on 72 sessions

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When m is divided by n, the remainder is 14. If m/n= 65.4, what is the value of n?

A) 14
B) 27
C) 35
D) 42
E) 45

Originally posted by sameer986 on 12 Feb 2019, 07:11.
Last edited by Bunuel on 12 Feb 2019, 07:30, edited 1 time in total.
Renamed the topic.
Manager
Joined: 02 Aug 2015
Posts: 153
Re: When m is divided by n, the remainder is 14. If m/n= 65.4, what is the  [#permalink]

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12 Feb 2019, 07:18
1
sameer986 wrote:
When m is divided by n, the remainder is 14. If m/n= 65.4, what is the value of n?

A) 14
B) 27
C) 35
D) 42
E) 45

m/n = 65.4 = 65 + 0.4

The 0.4 is the result of dividing the remainder 14 by n.

So 14/n = 0.4

n= 35. Hence D

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Intern
Joined: 25 Apr 2016
Posts: 2
Location: India
Re: When m is divided by n, the remainder is 14. If m/n= 65.4, what is the  [#permalink]

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12 Feb 2019, 08:02
Diwakar003 wrote:
sameer986 wrote:
When m is divided by n, the remainder is 14. If m/n= 65.4, what is the value of n?

A) 14
B) 27
C) 35
D) 42
E) 45

m/n = 65.4 = 65 + 0.4

The 0.4 is the result of dividing the remainder 14 by n.

So 14/n = 0.4

n= 35. Hence C

Cheers!
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 816
Location: Egypt
GPA: 3.67
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Re: When m is divided by n, the remainder is 14. If m/n= 65.4, what is the  [#permalink]

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12 Feb 2019, 10:15
the remainder = $$14 = 0.4n = \frac{4}{10}n$$
so $$n = \frac{14*10}{4} = 35$$
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Joined: 14 Oct 2015
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Location: United States (CA)
Re: When m is divided by n, the remainder is 14. If m/n= 65.4, what is the  [#permalink]

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13 Feb 2019, 19:51
sameer986 wrote:
When m is divided by n, the remainder is 14. If m/n= 65.4, what is the value of n?

A) 14
B) 27
C) 35
D) 42
E) 45

We can create the equation:

m/n = 65 + 4/10

m/n = 65 + 2/5

Since we are told the remainder is 14, we can also create the equation:

m/n = 65 + 14/n

We now can equate 2/5 and 14/n and determine n.

2/5 = 14/n

2n = 70

n = 35

Alternate Solution:

We can express the remainder as 14/n, and we know this is equal to 0.4. Thus, we have

14/n = 0.4

14 = 0.4n

35 = n

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Manager
Joined: 29 Oct 2019
Posts: 55
Re: When m is divided by n, the remainder is 14. If m/n= 65.4, what is the  [#permalink]

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04 Dec 2019, 02:10
1
We need to know an important idea of division to resolve this problem:

Divisor= Remainder/decimal part of the quotient

Here, Divisor = n
Remainder = 14
The decimal part of the Quotient = .4

So, n = 14/.4 = 35

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Re: When m is divided by n, the remainder is 14. If m/n= 65.4, what is the   [#permalink] 04 Dec 2019, 02:10
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