DS set 10, Q 11

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emrahinci: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Sat Sep 22, 2007 9:47 am; Location: San Antonio

by emrahinci » Fri Oct 05, 2007 9:35 am

11. Is x between 0 and 1?
(1) x 2 is less than x.
(2) x3 is positive

Answer is A but what if X is -1/2?
Then X square is 1/4 and greater than x. I think the right answer is C.

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Source: Beat The GMAT — Data Sufficiency | Fri Oct 05, 2007 9:35 am

gabriel: Legendary Member; Posts: 986; Joined: Wed Dec 20, 2006 11:07 amFollowed by: 1 member; Location: India; Thanked: 51 times

Re: DS set 10, Q 11

by gabriel » Fri Oct 05, 2007 11:47 pm

emrahinci wrote:11. Is x between 0 and 1?
(1) x 2 is less than x.
(2) x3 is positive

Answer is A but what if X is -1/2?
Then X square is 1/4 and greater than x. I think the right answer is C.

Read the statement carefully, it says, x^2 is less than x, this is only possible when x is between 0 and 1 ...

if x is between -1 and 0, then x^2 > x, and hence negates the given condition, so we can safely say using statement 1 that x is between 0 and 1 ..

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