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Manager
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When positive integer x is divided by positive integer y, [#permalink]
 22 Sep 2006, 17:09
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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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Manager
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X/Y=96.12 --> Y=X/96.12 --(1)
X-Y(96.12)=9 --(2)
No solution by using (1) and (2)….
Any other approach?
_________________
Who is John Galt?
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VP
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x =k*y + 9
x/y = k +9/y
96.12 - 9/y = k where k is a +ve int
So plug in vals you get B
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VP
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Given x = y*m +9.
x/y = m + 9/y
or 96.12 = 96 +0.12 = m + 9/y
where m =96, and 9/y = 0.12
i.e. 9/y = 0.12
or y = 9/0.12 = 900/12 = 75.
Answer: D
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VP
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haas_mba07 wrote: Given x = y*m +9.
x/y = m + 9/y
or 96.12 = 96 +0.12 = m + 9/y
where m =96, and 9/y = 0.12
i.e. 9/y = 0.12
or y = 9/0.12 = 900/12 = 75.
Answer: D
u meant B 
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VP
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Ofcourse... B 
trivikram wrote: haas_mba07 wrote: Given x = y*m +9.
x/y = m + 9/y
or 96.12 = 96 +0.12 = m + 9/y
where m =96, and 9/y = 0.12
i.e. 9/y = 0.12
or y = 9/0.12 = 900/12 = 75.
Answer: D u meant B |
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Senior Manager
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Guys, one more simple funda. 5/2= 2.5 now .5 x2 =1 is the remainder 25/4 = 6.25 now .25x4=1 is the remainder 32/5=6.4 now.4x5 = 2 is the remainder given x/y = 96.12 and remainder is 9 So .12 X y = 9 hence y= 75
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Averages Accelerated:Guide to solve Averages Quickly(with 10 practice problems)
Last edited by cicerone on 25 Sep 2008, 01:20, edited 1 time in total.
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Senior Manager
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B, Used the same logic as cicerone
First, which value to pick?
.12 multiplied by which value gives you an integer ?
went with 75 and 25
Plugged in 75 , got remainder 9. Answer 75
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