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# Is x greater than y? (1) x - y^2 >0 (2) xy < 0

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Math Expert
Joined: 02 Sep 2009
Posts: 56303
Is x greater than y? (1) x - y^2 >0 (2) xy < 0  [#permalink]

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15 Jul 2018, 21:38
00:00

Difficulty:

45% (medium)

Question Stats:

58% (01:25) correct 42% (01:35) wrong based on 35 sessions

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Is x greater than y?

(1) x - y^2 >0
(2) xy < 0

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Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: Is x greater than y? (1) x - y^2 >0 (2) xy < 0  [#permalink]

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15 Jul 2018, 22:47
Bunuel wrote:
Is x greater than y?

(1) x - y^2 >0
(2) xy < 0

Question stem:- x>y ? (Y/N)

St1:- $$x - y^2 >0$$
Or,$$x>y^2$$
This is valid;
(a) when x=1/2, y=1/2. Answer to question stem is No.
(b) when x=3, y=1. Answer to question is Yes.
There are many cases(x will be always positive since $$x>y^2$$) but we need 1Y & 1N to prove the insufficiency.
Insufficient.

St2:-xy < 0
Implies x>0 and y<0 or x<0 and y>0
So, insufficient.

(1)+(2),
So, x>0 and y<o is the only possible case.
Hence, x>y.

Sufficient.

Ans (C)
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Joined: 15 Jul 2018
Posts: 1
Is x greater than y? (1) x - y^2 >0 (2) xy < 0  [#permalink]

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15 Jul 2018, 23:47
X>y^2

And given that XY<0

There will be two cases

Case1: X>0, y<0
X>y^2 if X>0 then y^2>0 but y<0 hence true

Case2:X<0, y>0 insufficient

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Is x greater than y? (1) x - y^2 >0 (2) xy < 0   [#permalink] 15 Jul 2018, 23:47
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