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value of x?

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by kishokbabu » Thu Dec 29, 2011 12:41 pm
If x=0.rstu, where r,s,t and u each represent a non zero digit of x, what is the value of x?

a) r= 3s=2t=6u
b) The product of r & u is equal to the product of s & t.
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Source: — Data Sufficiency |
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by neelgandham » Thu Dec 29, 2011 12:57 pm
If x=0.rstu, where r,s,t and u each represent a non zero digit of x, what is the value of x?
a)r= 3s=2t=6u
let u = 1 then r =6
let u = 2 then r = 12, which is not possible because r is a non-zero single digit. So u = 1 is the only possibility. If u =1 then
r = 6
s = 2
t = 3 and x =0.6231. hence sufficient!
b)The product of r & u is equal to the product of s & t.
The value of x can be
0.2613 or
0.2163 or
0.6231 or
0.6321 or ... So, we don't have a definite answer. Hence Insufficient!

IMO A
Anil Gandham
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