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

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When positive integer m is divided by positive integer n, th [#permalink] New post 26 Aug 2010, 22:14
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (02:10) correct 14% (02:53) wrong based on 21 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....

please explain method....
[Reveal] Spoiler: OA
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Re: GMAThacks: Similar to OG question [#permalink] New post 26 Aug 2010, 22:22
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

So the answer is B.
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Re: GMAThacks: Similar to OG question [#permalink] New post 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.
Re: GMAThacks: Similar to OG question   [#permalink] 26 Aug 2010, 22:47
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When positive integer m is divided by positive integer n, th

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