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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]  26 Aug 2010, 22:14
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87% (01:54) correct 13% (02:41) wrong based on 68 sessions
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
Ms. Big Fat Panda
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1922
Concentration: General Management, Nonprofit
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Kudos [?]: 1702 [0], given: 210

Re: GMAThacks: Similar to OG question [#permalink]  26 Aug 2010, 22:22
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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:

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

$$0.2 n = 12$$

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

Manager
Joined: 24 Dec 2009
Posts: 225
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Kudos [?]: 35 [0], given: 3

Re: GMAThacks: Similar to OG question [#permalink]  26 Aug 2010, 22:47
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.
Senior Manager
Joined: 23 Jan 2013
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Schools: Cambridge'16
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Re: When positive integer m is divided by positive integer n, th [#permalink]  12 Nov 2014, 21:21
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
Re: When positive integer m is divided by positive integer n, th   [#permalink] 12 Nov 2014, 21:21
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