Does x = y?

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kanha81: Master | Next Rank: 500 Posts; Posts: 431; Joined: Sat Jan 10, 2009 9:32 amFollowed by: 1 member; Thanked: 16 times

by kanha81 » Tue May 26, 2009 4:32 pm

Does x = y?
(1) |x| = |y|
(2) x^2 = y^2

OA is [spoiler][E][/spoiler]. Please explain.

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Source: Beat The GMAT — Data Sufficiency | Tue May 26, 2009 4:32 pm

raleigh: Master | Next Rank: 500 Posts; Posts: 103; Joined: Mon May 18, 2009 9:47 am; Thanked: 19 times

by raleigh » Tue May 26, 2009 4:51 pm

(1) Consider x = 1, y = 1. |1| = |1| and 1 = 1 so x=y.

Now consider x = 1, y=-1. |1| = |-1| but 1 does not equal -1.

Insufficient.

(2) Again, consider x = 1, y = 1. 1^2 = 1^ and 1 = 1.

Now consider x = 1, y = -1. 1^2 = (-1)^2 but 1 does not equal -1.

Insufficient.

(1)+(2) Apply the same cases that were used in (1) and (2) and you'll get the same outcome. So the answer is E.

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