Numbers

This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 6
Joined: Thu Mar 05, 2009 2:54 am

Numbers

by sindhujah_kk » Mon Nov 01, 2010 9:52 am
If X is not equal to 0. Then √(x^2)/x = ?

A. -1
B. 0
C. 1
D. x
E. IxI / x

Ans: [spoiler]E[/spoiler]

Please correct me If i'm wrong.

I got the answer C.
I took √(x^2)/x = |x|/x = x/x= 1

Legendary Member
Posts: 1119
Joined: Fri May 07, 2010 8:50 am
Thanked: 29 times
Followed by:3 members

by diebeatsthegmat » Mon Nov 01, 2010 9:55 am
sindhujah_kk wrote:If X is not equal to 0. Then √(x^2)/x = ?

A. -1
B. 0
C. 1
D. x
E. IxI / x

Ans: E

Please correct me If i'm wrong.

I got the answer C.
I took √(x^2)/x = |x|/x = x/x= 1
this question is posted...
ok, if the squroot of a numbers : 9, 4 , it will be 3, 4
i meant V(9)^2=3
but if Vx^2=|x| and |x|= +,- x
so if x>0 so the answer will be 1 , C
if x<0 the answer will be -1 because |x| when x<0 is still x while x in denominator is -x
thus E makes sense

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pm
Location: Milpitas, CA
Thanked: 447 times
Followed by:88 members

by Rahul@gurome » Mon Nov 01, 2010 10:27 am
sindhujah_kk wrote:If X is not equal to 0. Then √(x^2)/x = ?

A. -1
B. 0
C. 1
D. x
E. IxI / x

Ans: E

Please correct me If i'm wrong.

I got the answer C.
I took √(x^2)/x = |x|/x = x/x= 1
Your mistake is the red one.
|x| means the absolute value of x, thus
  • (1) |x| = x , if x positive
    (2) |x| = -x , if x negative
Therefore, √(x^2)/x = |x|/x
  • = x/x = 1 , if x positive
    = -x/x = -1 , if x negative
The correct answer is E.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)