Absolute Value

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 156
Joined: Sat Sep 04, 2010 2:27 am
Location: Leeds,UK
Thanked: 1 times

Absolute Value

by lokesh r » Wed Oct 13, 2010 3:12 am
Is mod x = y - z

1) x + y = z
2) x < 0

OA.. C
Corrrect me if i am wrong in below thought..

A and B individually are not sufficient.

Given from A x=z-y
Given from B x <0; so x is -ve
From A and B,Equation x=z-y is -ve.
So |x| is +ve by definition, |x| has to be equal to y-z cause z-y is -ve.
So C is OA

User avatar
Community Manager
Posts: 991
Joined: Thu Sep 23, 2010 6:19 am
Location: Bangalore, India
Thanked: 146 times
Followed by:24 members

by shovan85 » Wed Oct 13, 2010 3:17 am
|x| = +x when x>0
= -x when x<0
2 says x<0 so -x
1 says x = z-y

Combine |x| = -x = -(z-y) = y-z (Suff)

Your thought process is correct I believe.

User avatar
GMAT Instructor
Posts: 905
Joined: Sun Sep 12, 2010 1:38 am
Thanked: 378 times
Followed by:123 members
GMAT Score:760

by Geva@EconomistGMAT » Wed Oct 13, 2010 4:22 am
lokesh r wrote:Is mod x = y - z

1) x + y = z
2) x < 0

OA.. C
Corrrect me if i am wrong in below thought..

A and B individually are not sufficient.

Given from A x=z-y
Given from B x <0; so x is -ve
From A and B,Equation x=z-y is -ve.
So |x| is +ve by definition, |x| has to be equal to y-z cause z-y is -ve.
So C is OA
Answer is indeed C, as per your thoughts. But let's complicate things slightly :)
Same question, only now stat. (2) says x>0. What's the answer then?
Geva
Senior Instructor
Master GMAT
1-888-780-GMAT
https://www.mastergmat.com

User avatar
Community Manager
Posts: 991
Joined: Thu Sep 23, 2010 6:19 am
Location: Bangalore, India
Thanked: 146 times
Followed by:24 members

by shovan85 » Wed Oct 13, 2010 4:51 am
Geva Stern wrote:
lokesh r wrote:Is mod x = y - z

1) x + y = z
2) x < 0

OA.. C
Corrrect me if i am wrong in below thought..

A and B individually are not sufficient.

Given from A x=z-y
Given from B x <0; so x is -ve
From A and B,Equation x=z-y is -ve.
So |x| is +ve by definition, |x| has to be equal to y-z cause z-y is -ve.
So C is OA
Answer is indeed C, as per your thoughts. But let's complicate things slightly :)
Same question, only now stat. (2) says x>0. What's the answer then?
Still answer will be C right!!! As we have a SURE NO to the answer.

Master | Next Rank: 500 Posts
Posts: 156
Joined: Sat Sep 04, 2010 2:27 am
Location: Leeds,UK
Thanked: 1 times

by lokesh r » Wed Oct 13, 2010 11:18 am
shovan85 wrote:
Geva Stern wrote:
lokesh r wrote:Is mod x = y - z

1) x + y = z
2) x < 0

OA.. C
Corrrect me if i am wrong in below thought..

A and B individually are not sufficient.

Given from A x=z-y
Given from B x <0; so x is -ve
From A and B,Equation x=z-y is -ve.
So |x| is +ve by definition, |x| has to be equal to y-z cause z-y is -ve.
So C is OA
Answer is indeed C, as per your thoughts. But let's complicate things slightly :)
Same question, only now stat. (2) says x>0. What's the answer then?
Still answer will be C right!!! As we have a SURE NO to the answer.[/quot

Yes i agree with shovan85 since from A and B..z-y is +ve, implies y-z is -ve

As a result |x| cannot be y-z.