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

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Joined: 04 May 2006
Posts: 1567
Schools: CBS, Kellogg
If s and t are positive integers such that s/t=64.12  [#permalink]

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29 Apr 2008, 02:51
1
7
00:00

Difficulty:

45% (medium)

Question Stats:

72% (01:00) correct 28% (01:27) wrong based on 195 sessions

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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

 Question: 13 Page: 22 Difficulty: 750

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Joined: 17 Jan 2008
Posts: 567
Location: Ann Arbor, MI
Schools: Ross '12 (MBA/MS)

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29 Apr 2008, 03:06
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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Joined: 14 Jan 2007
Posts: 704

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29 Apr 2008, 10:31
1
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.
Intern
Joined: 11 Jun 2010
Posts: 2
Re: If s and t are positive integers such that s/t=64.12  [#permalink]

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24 Dec 2011, 01:02
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. =)
Manager
Joined: 26 Apr 2011
Posts: 209
Re: If s and t are positive integers such that s/t=64.12  [#permalink]

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26 Dec 2011, 05:25
this is based on experience
Math Expert
Joined: 02 Sep 2009
Posts: 55732
Re: If s and t are positive integers such that s/t=64.12  [#permalink]

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20 Jan 2014, 05:45
2
1
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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Posts: 11398
Re: If s and t are positive integers such that s/t=64.12  [#permalink]

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18 Aug 2018, 02:43
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Re: If s and t are positive integers such that s/t=64.12   [#permalink] 18 Aug 2018, 02:43
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