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Manager
Joined: 07 Jun 2006
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When positive integer x is divided by positive integer y, [#permalink]
 07 Nov 2006, 11:53
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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0.12 y =9
thus y=75
What is OA?
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Manager
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From question stem, x=ky+9....(A)
and
x/y =96.12
hence, x=96 y+0.12 y....(B)
Comparing A and b
0.12y=9
y=75
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GMAT Club Legend
Joined: 07 Jul 2004
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x = qy + 9
We also know x/y = 96.12, so x = 96.12y
96.12y = qy + 9
96.12y - 9 = qy
q = 96.12 - 9/y
q is an integer, so 9/y must yield x.12 in order to cancel the .12 in 96. Only B fits the bill.
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