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Senior Manager
Joined: 04 Sep 2008
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Location: Kolkata
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07 Jun 2009, 21:22
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GMAT PREP 2 questions.doc [99 KiB]

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rampuria

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Joined: 07 Jun 2009
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07 Jun 2009, 23:28
I would do the second question first.
Now, we are to find if x and y are positive. Let us assume that x and y are integers.
According to (1) 2x - 2y = 1
if x= 1 y= 1/2, if x= 3/2 y= 1, if x= 2 y= 3/2, if x= -1 y= -3/2, if x= -1/2 y= -1 and so on... the statement is not self sufficient to conclude.
Second statement, x/y> 1
if x=1 y= 1/2, and when x= -1/2 y=-1, then only we get x/y > 1. Still we don't come to a conclusion.
Now even if we combine the 2 statements, we would not be ale to decide the sign of x and y.
Therefore, I go for 'E'.

The first question. 'k' lies between 1 and 10 inclusive. Since (-1)^k+1, therefore for every even value the term would be odd and for even odd value the term would be even. The terms that we get are 1/2, -1/4, 1/8, -1/16...-1/1024. by subtracting the successive terms we get all positive terms 1/4, 1/16, 1/64... 1/1024. now we add these terms, so if answer would be greater than 1/4 but, since the terms being added to 1/4 are very small, the answer would lie between 1/2 and 1/4, so I go for 'D'.
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Re: GMAT Prep   [#permalink] 07 Jun 2009, 23:28
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