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DS - is the OA right?

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gmatrant: Master | Next Rank: 500 Posts; Posts: 416; Joined: Wed Oct 03, 2007 9:08 amFollowed by: 1 member; Thanked: 10 times

by gmatrant » Sat Oct 27, 2007 9:15 am

Is xy <6?
1) x<3 and y<2
2)1/2 <x <2/3 and y^2 <6

OA is B
But isnt D the answer even A suggests that xy is less than 6

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Source: Beat The GMAT — Data Sufficiency | Sat Oct 27, 2007 9:15 am

me4mba: Junior | Next Rank: 30 Posts; Posts: 26; Joined: Wed Apr 11, 2007 10:33 am; Thanked: 8 times

by me4mba » Sat Oct 27, 2007 9:46 am

Statement 1 is insufficient because if both x and y are negative numbers, their product could be a positive number larger than 6. Say, if x = -5 and y = -10 then xy = 50 which is greater than 6. However, if x = 1 and y = 2, xy = 2 which is less than 6.

Statement 2 is sufficient because first we know that x is less than 1. And second, y is positive or negative squrt of 6. No matter which way y goes (negative or positive), xy will always be less than 6.

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