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# Is x > y? (1) x - 5 > y - 5 (2) x^2> xy

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Math Expert
Joined: 02 Sep 2009
Posts: 47001
Is x > y? (1) x - 5 > y - 5 (2) x^2> xy [#permalink]

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23 Nov 2017, 08:46
00:00

Difficulty:

35% (medium)

Question Stats:

71% (00:50) correct 29% (00:36) wrong based on 21 sessions

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Is x > y?

(1) x - 5 > y - 5
(2) x^2> xy

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DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1270
Location: India
Re: Is x > y? (1) x - 5 > y - 5 (2) x^2> xy [#permalink]

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23 Nov 2017, 09:08
(1) x-5 > y-5 .. we can cancel -5 from both sides. This gives us x > y. Sufficient.

(2) x^2 > xy or x^2 - xy > 0 or x*(x-y) > 0
This means either both x>0 and x-y>0 OR both x<0 and x-y<0
So either x>0 & x>y OR x<0 and x<y. So we cannot be sure whether x>y or x<y. Not sufficient.

Re: Is x > y? (1) x - 5 > y - 5 (2) x^2> xy   [#permalink] 23 Nov 2017, 09:08
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