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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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Take Away --> "Never take 1 as a factor for granted" :)


Archit3110
Bunuel
If x and y are greater than zero, then what is the value of x^2*y ?

(1) y = 1/2 + 1/4 + 1/8 + 1/16
(2) x has exactly two distinct positive factors, one of which is even.

#1
y=15/16
x not given insufficeint
#2
x has exactly two distinct positive factors, one of which is even.
means x is prime and only +ve even prime is 2 ;
which makes
2^2*y ; y=0,1,2,3 answer will vary insufficient
from 1 & 2
sufficeint
IMO C[/quote]
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Now you want the value of x^2•y and it’s given that x,y are positive

We only need to know the value of x and y
(St1) y= some value (no need to calculate) but what is x=? (So Stat. Not sufficient)

(St2) x has exactly two distinct +ve factors one of which is even—> meaning x=2 since 2 has 1& 2 (even) as its factors but we don’t know what the value of y is =?
(Not sufficient)

(St1&2) y= some value ,x=2 we can get the value of x^2•y (sufficient)

Answer C
cantaffordname
Second statement, Y= 3/2

According to first statement distinct positive factors must be 3*2

Hence, 6^2*3/2 =54

Is this approach rigth?

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