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s/t = 64.12

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s/t = 64.12

by sanju09 » Sat Aug 14, 2010 2:29 am
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


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by selango » Sat Aug 14, 2010 2:45 am
s=qt+r

s/t=q+r/t

64.12=q+r/t

64+12/100=q+r/t

r/t=12/100=3/25

t=25/3*r

r must be divisible by 3 since t is an integer.

Only 45 is divisible by 3.

Pick E
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