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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] New post 02 Jul 2008, 22:16
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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: PS - Remainder [#permalink] New post 02 Jul 2008, 22:24
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x /y = 96.12

can be written as 96 + 12/100
the remainder is 9, the fraction part of x/y = 9/y

9/y = 12/100

y = 75

answer B.
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Re: PS - Remainder [#permalink] New post 02 Jul 2008, 22:31
[quote="durgesh79"]x /y = 96.12

can be written as 96 + 12/100
the remainder is 9, the fraction part of x/y = 9/y

9/y = 12/100

y = 75

Last edited by cheeseburst on 28 Mar 2010, 06:29, edited 1 time in total.
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Re: PS - Remainder [#permalink] New post 02 Jul 2008, 22:39
cheeseburst wrote:
Can u pls explain,how can we compare x/y to 9/y??
Thanx


i'mnot saying x/y = 9/y

i said fraction part of x/y = 9/y

96.12 can be divided into two parts integer part is 96 and fractional part is 12/100 -------------(1)

when x is divided by y, remainder is 9. it means x can be written as x = ky + 9, wher k is an integer.
we can write this as x/y = k + 9/y, where 9/y is the fraction part ---------------- (2)

from (1) and (2)
12/100 = 9/y
Re: PS - Remainder   [#permalink] 02 Jul 2008, 22:39
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