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X = 0.r s t u

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by sanju09 » Thu Apr 01, 2010 3:51 am
If X = 0.r s t u, where r, s, t, and u each represent a non-zero digit of X, what is the value of X?

(1) r = 3 s = 2 t = 6 u.

(2) the product of r and u is equal to the product of s and t.
The mind is everything. What you think you become. -Lord Buddha



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Source: — Data Sufficiency |

by pops » Thu Apr 01, 2010 5:11 am
sanju09 wrote:If X = 0.r s t u, where r, s, t, and u each represent a non-zero digit of X, what is the value of X?

(1) r = 3 s = 2 t = 6 u.

(2) the product of r and u is equal to the product of s and t.
x=0.rstu

we need all the digits r,s,t,u to get x

statement1.
r=6u
so, u can only be 1 to have r a single digit number (hence r=6)
r=6
u=1
s=2
and t=3
x=0.6231
sufficient

statement2. r*u=s*t
doesn't give any specific information of r,s,t and u
hence insufficient
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