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## gmat prep questions

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swativerma1103 Just gettin' started!
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gmat prep questions Mon Jul 23, 2012 1:14 pm
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
if xis not equal to 0, then sqrt(x^2)/x is equal to

a) -1
b) 0
c) 1
d) x
e) |x|/x

please explain the ans for this question

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eagleeye GMAT Destroyer!
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Mon Jul 23, 2012 1:21 pm
swativerma1103 wrote:
if xis not equal to 0, then sqrt(x^2)/x is equal to

a) -1
b) 0
c) 1
d) x
e) |x|/x

please explain the ans for this question
sqrt(x^2) is always equal to |x|. E is correct.

http://www.beatthegmat.com/squares-square-roots-inequalities-and-modulus-t113333.html#476551

tisrar02 Really wants to Beat The GMAT!
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Mon Jul 23, 2012 7:08 pm
If you go through the answer choices as well, you can tell very quickly that E would be the correct answer.

Anything in the absolute brackets has to be positive so whenever you see the absolute brackets, the number inside is positive but when the sign is not there, the number can be positive or negative. X^2 is also always positive. Any number squared will yield a positive answer.

Process of elimination on questions like these is usually the best method in my opinion.

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