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# When positive integer m is divided by positive integer n, th

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Manager
Joined: 16 Feb 2010
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When positive integer m is divided by positive integer n, th [#permalink]

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26 Aug 2010, 23:14
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When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?

(A) 120
(B) 60
(C) 30
(D) 24
(E) 12

This is a very similar question but the same method does not apply....

[Reveal] Spoiler: OA

Kudos [?]: 370 [1], given: 16

Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1915

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Concentration: General Management, Nonprofit
Re: GMAThacks: Similar to OG question [#permalink]

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26 Aug 2010, 23:22
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Okay so when you're given that the remainder is 12 you can rephrase it as:

m = k*n + 12 where k is the quotient.

But we are given that m = 24.2n.

The quotient in the first part is a whole number, and hence k = 24. We can assume this because the decimal part in the second statement given to us, i.e the 0.2 corresponds to the remainder. We get the decimal since the remainder is smaller than the divisor.

So if we substitute the value of k into this equation, we get:

$$24.2n = 24*n + 12$$

$$0.2 n = 12$$

$$n = \frac{12}{0.2} = 60$$

Kudos [?]: 2203 [0], given: 210

Manager
Joined: 24 Dec 2009
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Re: GMAThacks: Similar to OG question [#permalink]

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26 Aug 2010, 23:47
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n = decimal part of 24.2 * remainder i.e. (12)

Hence 0.2 * n = 12
n = 60.

sample data - 33/6 == 5.5 here the decimal of answer part is 0.5.

0.5 * 6 = remainder

I hope this explains. Thank You.

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Director
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Schools: Cambridge'16
Re: When positive integer m is divided by positive integer n, th [#permalink]

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12 Nov 2014, 22:21
24.2 = 24+2/10 and 2/10 is when we remainder 2 divide by 10.

If remaiinder 12 we should also 10*6=60

B

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

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15 Mar 2017, 13:33
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Re: When positive integer m is divided by positive integer n, th [#permalink]

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21 Mar 2017, 06:11
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Expert's post
zisis wrote:
When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?

(A) 120
(B) 60
(C) 30
(D) 24
(E) 12

This problem will be best solved using the remainder formula. Let’s first state the remainder formula:

When positive integer x is divided by positive integer y, if integer Q is the quotient and r (in which 0 ≤ r < y) is the remainder, then x/y = Q + r/y.

In this problem, we are given that when positive integer m is divided by positive integer n, the remainder is 12. So, we can say:

m/n = Q + 12/n

We also are given that m/n = 24.2. Using the remainder formula, we can say:

m/n = 24.2

m/n = 24 + 0.2

m/n = 24 + 2/10

m/n = 24 + 1/5

Because Q is always an integer, we see that Q must be 24, and thus the remainder 12/n must be 1/5. We can now equate 12/n to 1/5 and determine the value of n.

12/n = 1/5

n = 60

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Re: When positive integer m is divided by positive integer n, th   [#permalink] 21 Mar 2017, 06:11
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