X and Y both positive?

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 70
Joined: Mon Oct 05, 2009 9:33 am

X and Y both positive?

by chipbmk » Tue Nov 17, 2009 10:11 pm
Are x and y both positive?

a. 2x - 2y = 1
b. x�y > 1

OA: C

Detailed explanations would be helpful! Thanks :)

Master | Next Rank: 500 Posts
Posts: 371
Joined: Fri Mar 06, 2009 2:48 am
Thanked: 27 times
GMAT Score:740

by 2010gmat » Wed Nov 18, 2009 7:04 am
i have seen a similar question where 1. is 2x - 2y = 1 .... are your sure 1. says 2x.2y = 1???

Master | Next Rank: 500 Posts
Posts: 379
Joined: Wed Jun 03, 2009 3:05 am
Thanked: 19 times
Followed by:1 members
GMAT Score:690

by sreak1089 » Wed Nov 18, 2009 7:28 am
I am not able to figure out what a) means in this question.....

Senior | Next Rank: 100 Posts
Posts: 70
Joined: Mon Oct 05, 2009 9:33 am

by chipbmk » Wed Nov 18, 2009 8:32 am
2010gmat wrote:i have seen a similar question where 1. is 2x - 2y = 1 .... are your sure 1. says 2x.2y = 1???
You are correct, it is 2x-2y = 1 ... I dont know what happened when I copied and pasted it.

Solutions?

Master | Next Rank: 500 Posts
Posts: 379
Joined: Wed Jun 03, 2009 3:05 am
Thanked: 19 times
Followed by:1 members
GMAT Score:690

by sreak1089 » Wed Nov 18, 2009 8:52 am
Qn: Are x & y both +ve?

Stmt # 1: 2x - 2y = 1
=> 2(x-y) = 1
=> x-y = 1/2
it means (x-y) > 0
we can further deduce that x > y

This is still NOT SUFFICIENT as x & y can both be +ve or can both be -ve.

Stmt # 2: x/y > 1

Two cases exist: a) x & y both +ve with x > y
b) x & y both -ve with x < y

This is still NOT SUFFICIENT as x & y can both be +ve or both can be -ve.

Combining 1 & 2, we have can only have one case which is x & y both +ve with x > y.
Hence the answer is C