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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).

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.
_________________

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

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

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

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08 Feb 2013, 21:11

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

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

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

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04 Oct 2013, 09:10

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

A concept that can be applied here is: -

Remainder = Divisor * decimal part

For example, 5/2 = 2.5. Here, 2 is quotient and 1 is remainder. So, Remainder/Divisor --> 1/2 = 0.5.

In the question, it is given that remainder is 9, divisor is y and decimal part is 0.12. Applying the concept, 9 = y * 0.12. On solving this, y comes out to be 75.
_________________

--------------------------------------------------------------- Consider to give me kudos if my post helped you.

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.

Are there any other questions similar to this one? I just simply cannot seem to wrap my head around the concept, so practicing on more examples would probably help.

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.

Are there any other questions similar to this one? I just simply cannot seem to wrap my head around the concept, so practicing on more examples would probably help.

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