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SUNGMAT710
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Are the two nonzero integers x and y on opposite sides of 0 on the num 24 Aug 2013, 23:36
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5% (low)

Question Stats:

82% (00:43) correct 18% (00:46) wrong based on 345 sessions

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Are the two nonzero integers x and y on opposite sides of 0 on the number line?

(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.
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D
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fameatop
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Are the two nonzero integers x and y on opposite sides of 0 on the num 24 Aug 2013, 23:49
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SUNGMAT710
Are the two nonzero integers x and y on opposite sides of 0 on the number line?
(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.
Show more

Statement 1
It is given that x & y are non-zero.
x+y = 0
x=-y
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Statement 2
xy < 0
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Answer D
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Are the two nonzero integers x and y on opposite sides of 0 on the num 05 Feb 2017, 02:54
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fameatop
SUNGMAT710
Are the two nonzero integers x and y on opposite sides of 0 on the number line?
(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.

Statement 1
It is given that x & y are non-zero.
x+y = 0
x=-y
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Statement 2
xy < 0
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Answer D
Show more


Great Solution, Can we do this problem by number plugging as well?
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Are the two nonzero integers x and y on opposite sides of 0 on the num 06 Feb 2017, 04:25
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anairamitch1804
fameatop
SUNGMAT710
Are the two nonzero integers x and y on opposite sides of 0 on the number line?
(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.

Statement 1
It is given that x & y are non-zero.
x+y = 0
x=-y
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Statement 2
xy < 0
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Answer D


Great Solution, Can we do this problem by number plugging as well?
Show more


1. sum of X and y is 0 -only possible when x and Y have opposite sign and equal in value (as in question stem it is given x and y are non zero , else we can have one more possibility x=y=0)..
lets take few examples 2 + 2 = not equals 0
-2 + (-2) , again not equals 0 ..
-2 + 2 , yes ...both must have opposite sign.

2.
product of two number will be less than 0 only when one number is negative and one positive...
2*1 =2
-2*-1 =2
-2 * 1 = -2--yes

So D..
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anairamitch1804
Great Solution, Can we do this problem by number plugging as well?
Show more
Dear anairamitch1804,

I'm happy to respond. :-) I see that sobby already demonstrated a picking-numbers solutions.

I will just caution you to be careful about relying too heavily on picking numbers. This is a problem that is very easy with number sense. I would say that, by far, the most important thing to appreciate about this problem is the number-sense perspective. In that sense, a picking-numbers solution is almost a distraction from what's most important. Here, picking numbers is relatively straightforward, but number sense is a much more powerful perspective that will help you in a larger number of problems.
See this post:
Number Sense for the GMAT

Does all this make sense?
Mike :-)
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Are the two nonzero integers x and y on opposite sides of 0 on the num 08 Feb 2017, 18:50
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mikemcgarry
anairamitch1804
Great Solution, Can we do this problem by number plugging as well?
Dear anairamitch1804,

I'm happy to respond. :-) I see that sobby already demonstrated a picking-numbers solutions.

I will just caution you to be careful about relying too heavily on picking numbers. This is a problem that is very easy with number sense. I would say that, by far, the most important thing to appreciate about this problem is the number-sense perspective. In that sense, a picking-numbers solution is almost a distraction from what's most important. Here, picking numbers is relatively straightforward, but number sense is a much more powerful perspective that will help you in a larger number of problems.
See this post:
Number Sense for the GMAT

Does all this make sense?
Mike :-)
Show more


Thank You Mike for your Insight it was helpful.
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Are the two nonzero integers x and y on opposite sides of 0 on the num 17 Apr 2020, 11:15
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Are the two nonzero integers x and y on opposite sides of 0 on the number line?
Statement 1 : x+y = 0
or, x=-y
This indicates that x & y are on opposite sides of 0 on the number line (x & y are non-zero.) Sufficient

Statement 2 : xy < 0
This indicates that x & y are on opposite sides of 0 on the number line Sufficient

correct answer D
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Are the two nonzero integers x and y on opposite sides of 0 on the num 27 Jan 2023, 03:44
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