test 19 #20

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dunkin77: Master | Next Rank: 500 Posts; Posts: 269; Joined: Sun Apr 01, 2007 5:41 am

by dunkin77 » Tue May 01, 2007 7:32 am

Hi,

I think to meet the condition, x must be positive, but why 2) meet the condition?? the answer is B but could not figure out,..

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Source: Beat The GMAT — Data Sufficiency | Tue May 01, 2007 7:32 am

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

Re: test 19 #20

by jayhawk2001 » Tue May 01, 2007 9:00 pm

dunkin77 wrote:Hi,

I think to meet the condition, x must be positive, but why 2) meet the condition?? the answer is B but could not figure out,..

sqrt [ (x-3)^2 ] will yield a positive answer. Now, depending on the
sign of x, it will be either x-3 or 3-x.

1 - insufficient. x can be > 3 or < 3. So, we don't know if it will be
equal to 3-x

2 - sufficient. -x|x| will be positive when x is negative. Since x is
negative, the final answer will be 3-x and hence sufficient.

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