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

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by BTGmoderatorDC » Thu Jan 28, 2021 4:55 pm

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D

E

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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.



OA D


Source: GMAT Prep
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Source: — Data Sufficiency |
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Re: Are the two nonzero integers x and y on opposite sides of 0 on the number line?

by swerve » Thu Jan 28, 2021 5:40 pm
BTGmoderatorDC wrote: ↑
Thu Jan 28, 2021 4:55 pm
 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.



OA D


Source: GMAT Prep
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 \(\Large{\color{green}\checkmark}\)

Statement 2 \(: xy < 0\)
This indicates that \(x \& y\) are on opposite sides of \(0\) on the number line. Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, D
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