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# Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0

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Joined: 06 Mar 2017
Posts: 192
Concentration: Operations, General Management
Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0  [#permalink]

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14 Aug 2018, 06:09
1
1
00:00

Difficulty:

75% (hard)

Question Stats:

64% (02:23) correct 36% (01:50) wrong based on 48 sessions

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Is x + y > 0 ?

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

(2) (x/y) + 1 > 0
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0  [#permalink]

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14 Aug 2018, 07:32
1
1
Is x + y > 0 ?

(1) x^2 - y^2 > 1
Both X and y >0 will satisfy.. say 8^2-2^2 and 8+2=10>0......Yes
But both negative can also satisfy...say (-8)^2-(-2)^2 and -8-2<0.....so NO
Insufficient

(2) (x/y) + 1 > 0
Again X/y will be positive for both X and y as positive and also for both as negative..
8/2+1=4+1>0.....yes and 8+2=10>0
(-8)/(-2)+1=4+1>0 but -8-2<0
Insufficient

Combined
Same values 8&2 and -8&-2 will satisfy both statements
Insufficient

E

Pl check your OA. Request be careful while posting OA
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Director
Joined: 27 May 2012
Posts: 814
Re: Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0  [#permalink]

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12 Jun 2019, 00:15
Is x + y > 0 ?

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

(2) (x/y) + 1 > 0

lets take x=5 and y=3 , satisfies both the statements and answer to the stem is yes.
lets take x=-5 and y=-3,satisfies both the statements and answer to the stem is No.

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- Stne
Re: Is x + y > 0 ? (1) x^2 - y^2 > 1 (2) (x/y) + 1 > 0   [#permalink] 12 Jun 2019, 00:15
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