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# If s and t are positive integers such that s/t=64.12

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If s and t are positive integers such that s/t=64.12 [#permalink]  29 Apr 2008, 01:51
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If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-s-and-t-are-positive-integers-such-that-s-t-64-12-which-135190.html

Official Guide 12 Question

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Re: Remainder [#permalink]  29 Apr 2008, 02:06
sondenso wrote:
if s and t ar positiv integrs such that s/t=64.12, which of the following could be the remainder when s is divided by t?

a. 2
b. 4
c. 8
d. 20
e. 45

The remainder is 0.12 or 12/100. You can go one step further and say that X/Y=12/100, where X and Y are whole numbers. Plug in all the answer choices for X and see which one makes Y a whole number.

One thing that jumps out at me is that A, B, C, and D are all even. E on the other hand is odd. Why? Maybe I'll start plugging in here first.

45/Y=12/100
12Y=4500
Y=375

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Re: Remainder [#permalink]  29 Apr 2008, 09:31
s=64t + 0.12t
0.12t is remainder, which is a +ve integer.
Try values so that t = integer.
0.12t=45 satisfies the conditions.
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Re: If s and t are positive integers such that s/t=64.12 [#permalink]  24 Dec 2011, 00:02
Hey, all. I am just starting out my GMAT prep. I see that some of the OG 12 questions' explanations are posted on this forum along with the difficulty level. For example: This question is listed as a 750 level question. So, my question is this: Where are these difficulty level ratings coming from? Is it based on the poster's estimate or is it an "official" difficulty rating? Just wondering, is all. =)
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Re: If s and t are positive integers such that s/t=64.12 [#permalink]  26 Dec 2011, 04:25
this is based on experience
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Re: If s and t are positive integers such that s/t=64.12 [#permalink]  20 Jan 2014, 00:48
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Re: If s and t are positive integers such that s/t=64.12 [#permalink]  20 Jan 2014, 04:45
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If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

$$s$$ divided by $$t$$ yields the remainder of $$r$$ can always be expressed as: $$\frac{s}{t}=q+\frac{r}{t}$$ (which is the same as $$s=qt+r$$), where $$q$$ is the quotient and $$r$$ is the remainder.

Given that $$\frac{s}{t}=64.12=64\frac{12}{100}=64\frac{3}{25}=64+\frac{3}{25}$$, so according to the above $$\frac{r}{t}=\frac{3}{25}$$, which means that $$r$$ must be a multiple of 3. Only option E offers answer which is a multiple of 3

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-s-and-t-are-positive-integers-such-that-s-t-64-12-which-135190.html
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Re: If s and t are positive integers such that s/t=64.12   [#permalink] 20 Jan 2014, 04:45
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