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# Is x + y negative? (1) x is positive. (2) y is negative.

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Intern
Joined: 05 Sep 2009
Posts: 9
Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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15 May 2011, 06:42
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Difficulty:

5% (low)

Question Stats:

92% (00:20) correct 8% (00:16) wrong based on 64 sessions

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Is x + y negative?

(1) x is positive.

(2) y is negative.

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Manager
Joined: 03 Jun 2010
Posts: 149
Location: United States (MI)
Concentration: Marketing, General Management
Re: Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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15 May 2011, 06:52
hitmoss wrote:
Is X + Y Negative?

i) X is Positive.
ii) Y is Negative.

It's just a easy question, and I got wrong. (My Bad!)

1) and 2) clearly insufficient.
1)+2) still ins.
Consider,
$$x=10, y=-3, -> x+y=7>0$$
$$x=10, y=-35, -> x+y=-25<0$$

(E)
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Re: Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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18 May 2011, 21:57
no relative information between X and Y.
E
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Re: Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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19 May 2011, 05:24
X = 1, Y = +2

X = 2 Y = -1

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Re: Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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19 May 2011, 13:06
x+y<0 if both x & Y are - or x is - and y is + with |x|>|y| or x is + and y is - with |y| > |x|.

Even with the combinaion, since we only know the sign not the magnitude, it is insuff.
Director
Joined: 01 Feb 2011
Posts: 671
Re: Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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19 May 2011, 15:47
1. Not sufficient

x>0
if y>0 then x+y is not less than 0
if y<0 x+y may or may not be less than 0

2. Not sufficient

y<0
if x<0 then x+y<0
if x>0 x+y may or may not be less than 0

together
x>0 y<0

x y
1 -1 => x+y is not less than 0

1 -2 =>x+y <0

Hence not sufficient.

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Joined: 12 Sep 2015
Posts: 2698
Re: Is x + y negative? (1) x is positive. (2) y is negative.  [#permalink]

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30 Mar 2018, 10:09
1
Top Contributor
hitmoss wrote:
Is x + y negative?

(1) x is positive.

(2) y is negative.

Target question: Is x + y negative?

Statement 1: x is positive
Since we have no information about y, there's no way to determine whether x + y is negative.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y is negative
Since we have no information about x, there's no way to determine whether x + y is negative.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 1 and y = -3. In this case, x + y = 1 + (-3) = -2. So, the answer to the target question is YES, x+y IS negative
Case b: x = 2 and y = -1. In this case, x + y = 2 + (-1) = 1. So, the answer to the target question is NO, x+y is NOT negative
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
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Re: Is x + y negative? (1) x is positive. (2) y is negative. &nbs [#permalink] 30 Mar 2018, 10:09
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