When positive integer x is divided by positive integer y,

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When positive integer x is divided by positive integer y, [#permalink]

18 Dec 2010, 08:13

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Question Stats:

52% (01:41) correct

47% (00:43) wrong

based on 16 sessions

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12

[Reveal] Spoiler: OA

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Last edited by Bunuel on 09 Feb 2013, 01:56, edited 2 times in total.

Renamed the topic and edited the question.

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Re: Remainder problem [#permalink]

18 Dec 2010, 08:28

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ajit257 wrote:

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?

When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);

0.12y=9 --> y=75.

Answer: B.
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Re: Remainder problem [#permalink]

18 Dec 2010, 12:08

ajit257,
That is the easiest way - as Bunuel solved.

Now try to solve the same question with one change that you don't know the remainder. Believe me, that would be an even better question (and you have the same options as answers).

It will make your concepts more clear.

Thanks

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Re: Remainder problem [#permalink]

18 Dec 2010, 19:03

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ajit257 wrote:

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?

Think of it this way:
\frac{x}{y} = 96.12 = 96 \frac{12}{100} (in mixed fraction format)= 96 \frac{3}{25}
This means when x is divided by y, quotient obtained is 96 and remainder is 3 if y is 25. If remainder is 9, y must be 75.
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Re: Remainder problem [#permalink]

19 Dec 2010, 13:44

thanks guys....

anshumishra....thanks for the hint. i feel better now.
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Re: Remainder problem [#permalink]

19 Dec 2010, 13:49

ajit257 wrote:

thanks guys....

anshumishra....thanks for the hint. i feel better now.

Great ! I am happy that it helped.

Here is another similar problem. Try to solve yourself first.

If s and t are positive integer 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

[Reveal] Spoiler:

Ans: E
0.12 = 12/100 = r/t => t = 100*r/12 (where r & t are both integers)
Only E has the integral soln.

Thanks

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Re: Remainder problem [#permalink]

19 Dec 2010, 14:11

anshumishra wrote:

ajit257 wrote:

thanks guys....

anshumishra....thanks for the hint. i feel better now.

[Reveal] Spoiler:

Ans: E
0.12 = 12/100 = r/t => t = 100*r/12 (where r & t are both integers)
Only E has the integral soln.

Thanks

Please try to discuss one question per thread. This question was discussed here: remainders-105400.html#p823773
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Re: When positive integer x is divided by positive integer y, [#permalink]

08 Feb 2013, 09:29

I chose option B, however the OA says D..can someone please explain why is it so ?

P.s: The Q. seems pretty straightforward and I don't see any trap in it !

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Re: When positive integer x is divided by positive integer y, [#permalink]

08 Feb 2013, 22:11

I got B as well but I set it up a little bit differently.

If x/y has remainder 9, then the remainder is 9 "Y-ths"
Also, if the remainder is .12 then .12 = 12/100 = 3/25.

I set up the equation 9/Y = 3/25 therefore Y= (9*25)/3 after cancellation Y=3*25=75

That said, the correct answer is supposed to be D but everyone else also seems to be getting B so I have no idea what's going on. I would love to hear from someone who got D

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Re: When positive integer x is divided by positive integer y, [#permalink]

09 Feb 2013, 01:57

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VikramYIF wrote:

I chose option B, however the OA says D..can someone please explain why is it so ?

P.s: The Q. seems pretty straightforward and I don't see any trap in it !

OA edited. It's B, not D.
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When positive integer x is divided by positive integer y [#permalink]

09 May 2013, 20:06

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

A) 96
B) 75
C) 48
D) 25
E) 12

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Re: When positive integer x is divided by positive integer y [#permalink]

09 May 2013, 21:01

laythesmack23 wrote:

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

A) 96
B) 75
C) 48
D) 25
E) 12

As we know, Decimal Part = \frac{Remainder}{Divisor}

Therefore, .12 = \frac{x}{y}

or \frac{12}{100} = \frac{x}{y}

or \frac{3}{25} = \frac{x}{y}

or \frac{9}{75} = \frac{x}{y}

Hence, 75 ... Hence, B ..........
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Re: When positive integer x is divided by positive integer y [#permalink]

10 May 2013, 01:02

laythesmack23 wrote:

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

A) 96
B) 75
C) 48
D) 25
E) 12

Merging topics.

Similar question to practice: if-s-and-t-are-positive-integers-such-that-s-t-64-12-which-135190.html

All OG13 questions: the-official-guide-quantitative-question-directory-143450.html

Hope it helps.
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Re: When positive integer x is divided by positive integer y [#permalink] 10 May 2013, 01:02

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