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nh_cryptic: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Sun Apr 10, 2011 6:53 am

by nh_cryptic » Sun Apr 29, 2012 4:20 am

If x and y are positive, is x/y greater than 1 ?
(1) xy > 1
(2) x - y > 0

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Source: Beat The GMAT — Problem Solving | Sun Apr 29, 2012 4:20 am

spartacus1412: Master | Next Rank: 500 Posts; Posts: 110; Joined: Wed Feb 22, 2012 11:28 pmFollowed by: 1 member; Location: India; Thanked: 13 times

by spartacus1412 » Sun Apr 29, 2012 5:45 am

IMO D since x, y >0 is given.

Its do or die this time!
Practise, practise and practise.

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sun Apr 29, 2012 6:50 am

nh_cryptic wrote:If x and y are positive, is x/y greater than 1 ?
(1) xy > 1
(2) x - y > 0

Statement 1: xy > 1
If x=2 and y=1, the x/y = 2, which is greater than 1.
If x=1 and y=2, then x/y = 1/2, which is less than 1.
INSUFFICIENT.

Statement 2: x - y > 0
Thus, x>y.
Thus, x/y = (greater positive)/(smaller positive), which must yield a value greater than 1.
SUFFICIENT.

The correct answer is B.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Apr 29, 2012 10:17 am

nh_cryptic wrote:If x and y are positive, is x/y greater than 1 ?
(1) xy > 1
(2) x - y > 0

Since x and y are positive, so we can say that the question is: Is x/y > 1 or Is x > y?

(1) xy > 1
If x = 4, y = 2, xy = 8 > 1. Here x/y = 4/2 = 2 > 1
If x = 2, y = 4, xy = 8 > 1. Here x/y = 2/4 = 1/2 < 1
No definite answer; NOT sufficient.

(2) x - y > 0 or x > y, which directly answers the question asked; SUFFICIENT.

The correct answer is B.

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