Data Sufficiency -
Is |x-z| > |x-y| ?
(1) |z| > |y|
(2) x < 0
What should be the general approach for such problems ?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Modulus + Inequality
This topic has expert replies
-
TanmayShah
- Newbie | Next Rank: 10 Posts
- Posts: 6
- Joined: Thu Nov 29, 2012 9:18 pm
-
aditya8062
- Legendary Member
- Posts: 774
- Joined: Mon Jan 23, 2012 4:32 am
- Thanked: 46 times
- Followed by:14 members
-
srcc25anu
- Master | Next Rank: 500 Posts
- Posts: 423
- Joined: Fri Jun 11, 2010 7:59 am
- Location: Seattle, WA
- Thanked: 86 times
- Followed by:2 members
is |x-z| > |x-y|?
1. |z| > |y|
if x = 5, y = 2, z = 6 |x-z| = 1 < |x-y| = 4 (not true)
if x = 5, y = 2 and z = 12, |x-z| = 7 > |x-y| = 4 (true)
Not SUfficient
2. x < 0
No info anout y and Z
Not SUfficient
Together:
if x = -5, y = -3, z = -6 |x-z| = 1 < |x-y| = 2 (not true)
if x = -5, y = -3 and z = -10, |x-z| = 5 > |x-y| = 2 (true)
Not SUfficient
hence E
1. |z| > |y|
if x = 5, y = 2, z = 6 |x-z| = 1 < |x-y| = 4 (not true)
if x = 5, y = 2 and z = 12, |x-z| = 7 > |x-y| = 4 (true)
Not SUfficient
2. x < 0
No info anout y and Z
Not SUfficient
Together:
if x = -5, y = -3, z = -6 |x-z| = 1 < |x-y| = 2 (not true)
if x = -5, y = -3 and z = -10, |x-z| = 5 > |x-y| = 2 (true)
Not SUfficient
hence E
