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# If x is a positive number, what is the value of x? (1) | x

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If x is a positive number, what is the value of x? (1) | x [#permalink]  15 Jan 2004, 11:27
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If x is a positive number, what is the value of x?

(1) | x тАУ 2 | = 1
(2) x^2 = 4x-3

And, pitts, if you're out there, stop hanging out at the enemy site!
Senior Manager
Joined: 30 Aug 2003
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I guess..its C ..coz (2) stat gives two values of X as 3 and 1
and (1) stat shows that its X should be 3 to get the value 1..
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shubhangi

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For A: |3-2|=1 and |1-2|=1 so x can be 3 or 1
For B: (x-3)(x-1)=0 so x can be 3 or 1

so...E?
VP
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(1) |x-2| = 1
=> x-2 =1 or (x-2) = -1
=> x = 3 or x =1
(2) x^2 = 4x-3 also gives x=1 or x=3

When you pick x=1 from (1) (which means you reject the value x=3). And using this value in (2) confirms x=1.

When you pick x=3 from (1) it's a similar argument.

If the above is correct, the answer is (C).
Intern
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The answer has to be ONE unique solution right?

Doesnt statement 1 and 2 give 2 possible solutions for x?
X can be 1 or 3

Am I totally wrong here?
GMAT Club Legend
Joined: 15 Dec 2003
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Ok, I'm again a bit late but the answer is E
from 1) it's 1 or 3
from 2) it's 1 or 3
Therefore, since you cannot choose EXACTLY ONE answer, the answer is E, inconclusive.
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Best Regards,

Paul

VP
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Paul wrote:
Ok, I'm again a bit late but the answer is E
from 1) it's 1 or 3
from 2) it's 1 or 3
Therefore, since you cannot choose EXACTLY ONE answer, the answer is E, inconclusive.

Thanks for the clarification Paul. I was not sure about the conclusion that needs to be drawn from the results of (1) and (2).
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