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# Square root of (x-5

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Senior Manager
Joined: 20 Feb 2008
Posts: 292
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
Square root of (x-5 [#permalink]

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01 Dec 2008, 11:27
Hey,
Cant seem to figure this one out.
Your help would be greatly appreciated!
Attachment:
GMATPrepTest 2.doc [104.5 KiB]
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SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
Schools: Hard Knocks
Re: GMAT Prep Test 2 [#permalink]

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01 Dec 2008, 11:32
Just to help you get more replies, here is the question not in attachment form:

Is $$\sqrt{(x-5)^2} = 5 - x$$ ?

(1) -x|x| > 0

(2) 5-x > 0
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J Allen Morris
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Re: GMAT Prep Test 2 [#permalink]

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01 Dec 2008, 11:50
i get D..

1) says X<0
which means |x-5|=5-x only if x<5

sufficient

2) 5-x>0 means x<5 sufficient
SVP
Joined: 17 Jun 2008
Posts: 1502
Re: GMAT Prep Test 2 [#permalink]

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01 Dec 2008, 12:02
Agree with D.

From stmt1: x < 0. Hence, (x-5) < 0 and hence, sqrt((x-5)^2) = |x-5| = 5-x.

Similarly, from stmt2: (x-5) < 0 and hence, sqrt((x-5)^2) = |x-5| = 5-x.
Current Student
Joined: 28 Dec 2004
Posts: 3310
Location: New York City
Schools: Wharton'11 HBS'12
Re: GMAT Prep Test 2 [#permalink]

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01 Dec 2008, 12:03
atletikos wrote:
IMO A

the stem becomes |x-5|=5-x?

so |x-5| the critical point is x=5

so if x>5

x-5=5-x
2x=10 x=5 but thats not possible since x>5

if x<5

-(x-5)=5-x?
-x+5=5-x

x=0 which is true..
Manager
Joined: 18 Nov 2008
Posts: 114
Re: GMAT Prep Test 2 [#permalink]

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01 Dec 2008, 12:31
fresinha12, in 2) we are given that 5-x>0
Consider x=3, then sqrt((x-5)^2) = sqrt((3-5)^2) = sqrt((-2)^2) = sqrt (4) = 2 or -2, which can be either equal to 5-x = 5-3=2, or not (-2), Insuff.
Am I missing smth?
Senior Manager
Joined: 20 Feb 2008
Posts: 292
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
Re: GMAT Prep Test 2 [#permalink]

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01 Dec 2008, 15:26
atletikos wrote:
fresinha12, in 2) we are given that 5-x>0
Consider x=3, then sqrt((x-5)^2) = sqrt((3-5)^2) = sqrt((-2)^2) = sqrt (4) = 2 or -2, which can be either equal to 5-x = 5-3=2, or not (-2), Insuff.
Am I missing smth?

Hi Thanks Jallenmorris, I did get more answers.

The OA is D

atletikos, since S2 says 5-x>0 and the Q stem does not ask you if x-5=5-x.
It asks whether ( x-5)^2= (5-x)^2 and so the sign of x or x-5 is not considered.

Thanks for you Answers!

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: GMAT Prep Test 2   [#permalink] 01 Dec 2008, 15:26
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# Square root of (x-5

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