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Is x+y > 0?

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Director
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Is x+y > 0?  [#permalink]

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New post 26 Jul 2016, 07:07
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Question Stats:

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Is x+y > 0?

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

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Re: Is x+y > 0?  [#permalink]

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New post 26 Jul 2016, 07:34
NandishSS wrote:
Is x+y > 0?

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


Stat 1: X > Y...

Here X and Y can be positive or negative.

3 > 1 => 4+1 > 0
or -1 > -2 => -3 < 0. Two different answer.. Insufficient.

Stat 2 : x + y -1 >0 => x + y > 1. Sufficient..

B is correct answer..
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Re: Is x+y > 0?  [#permalink]

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New post 26 Jul 2016, 10:55
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NandishSS wrote:
Is x+y > 0?

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


Target question: Is x+y > 0?

Statement 1:x > y
This statement doesn't FEEL sufficient, so I'll TEST some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 1 and y = 0, in which case x + y = 1 + 0 = 1. Here, x + y > 0
Case b: x = 0 and y = -1, in which case x + y = 0 + (-1) = -1. Here, x + y < 0
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: x + y -1 >0
Add 1 to both sides of the inequality to get: x + y > 1
Since we also know that 1 > 0, we can write: x + y > 1 > 0
At this point, we can see that x + y > 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer =

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Re: Is x+y > 0?  [#permalink]

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New post 27 Jul 2016, 04:25
NandishSS wrote:
Is x+y > 0?

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



(1) x > y

if x and y both are +ve no then x+y > 0
if x = -3 and y = -4
x+y < 0

Insufficient

(2) x + y -1 > 0
or
x+y > 1

sufficient
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Re: Is x+y > 0?  [#permalink]

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New post 16 Sep 2018, 05:49
NandishSS wrote:
Is x+y > 0?

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


Question: Is x+y > 0?

Statement 1: x > y
Case 1: x = 2, y = -3 and x+y < 0
Case 2: x = 2, y = -1 and x+y < 0
NOT SUFFICIENT

Statement 2: x+y > 1
i.e. x+y is definitely greater than 0
SUFFICIENT

Answer: Option B
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Re: Is x+y > 0?   [#permalink] 16 Sep 2018, 05:49
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