If x/2 = 3/y, is x less than y?

x/2 = 3/y

xy = 6

is x<y?

1. y>=3

If you consider x and y as integers, x can have a max value of 2 to satisfy xy=6.
Even if you consider x and y as fractions, x will never have more than 2. So, x is less than y in any case.
Sufficient.

2. y<=4

If y=3, x=2. x < y
If y=1, x=6. x > y
Insufficient.

A

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thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 am; Thanked: 137 times; Followed by:5 members

by thephoenix » Sun Apr 04, 2010 6:14 pm

bhumika.k.shah wrote:If x/2 = 3/y, is x less than y?

(1) y >=3

(2)y<=4

Source GMAT prep

x/2 = 3/y--->x=6/y

1) since y >=3 for any value in this range x<y hence suff

2) y<=4 for y=3 x<y and for y=2 x>y hence insuff
A

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