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saurabhmahajan: Master | Next Rank: 500 Posts; Posts: 250; Joined: Thu Jan 07, 2010 2:21 am; Thanked: 10 times

by saurabhmahajan » Sat Oct 23, 2010 9:33 am

Please explain

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Saurabh Mahajan

I can understand you not winning,but i will not forgive you for not trying.

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Source: Beat The GMAT — Problem Solving | Sat Oct 23, 2010 9:33 am

diebeatsthegmat: Legendary Member; Posts: 1119; Joined: Fri May 07, 2010 8:50 amFollowed by: 3 members; Thanked: 29 times

by diebeatsthegmat » Sat Oct 23, 2010 11:10 am

saurabhmahajan wrote:Please explain

xyz>0 if x>0
1/ x*y>0 => (1) x>0 and y>0 => z>0 (xyz>0)
or (2) x<o ,y<0 => z<0 cos xyz>0 insufficient
2/ xz>0 => or x>0 z>0 => y>0 or x<0 z<0 y>0 insufficient
(1+2) we see that we can take z>0 so y>0 and x>0 sufficient
C

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