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Question from Gmat Prep software

Expert replies
by Prashantbhardwaj » Thu Aug 12, 2010 12:13 am
I couldn't reach a logical explanation regarding the answer for this question, So please help

If xy + z = x ( y + z ),
then which of the following must be true?

A) x=0 and z=0

B) x=1 and y=1

C) y=1 and z=0

D) x=1 or y=0

E) x=1 or z=0
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Source: — Problem Solving |

by kmittal82 » Thu Aug 12, 2010 12:39 am
I think the answer should be (E)

Expand the equation and compare the co-efficients:

xy + z = xy + xz

=> xz = z
=> xz- z = 0
=> z(x-1) = 0

=> either x = 1 Or z = 0

Can you please confirm the OA ?
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by Prashantbhardwaj » Thu Aug 12, 2010 1:01 am
Kmittal

You're right it has been clearly reduced to two basic factors and as such there is no other solution with more surity than this possible.
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by chris@veritasprep » Thu Aug 12, 2010 4:29 am
Here is a recent discussion on the same question: https://www.beatthegmat.com/kindly-expla ... tml#283847 Hope that helps!
Chris Kane
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Veritas Prep

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