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# If the product of j and k does not equal zero, is j<0 and k>0?

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SVP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
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GPA: 3.39
If the product of j and k does not equal zero, is j<0 and k>0?  [#permalink]

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24 Sep 2017, 12:25
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Difficulty:

35% (medium)

Question Stats:

65% (01:10) correct 35% (01:01) wrong based on 20 sessions

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If the product of j and k does not equal zero, is j<0 and k>0?

(1) (-j, k) lies above the x-axis and to the right of the y-axis.
(2) (j, -k) lies below the x-axis and to the left of the y-axis.

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Manager
Joined: 06 Aug 2017
Posts: 88
GMAT 1: 570 Q50 V18
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GMAT 3: 640 Q48 V29
Re: If the product of j and k does not equal zero, is j<0 and k>0?  [#permalink]

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24 Sep 2017, 14:34
If the product of j and k does not equal zero, is j<0 and k>0?

(1) (-j, k) lies above the x-axis and to the right of the y-axis.
(2) (j, -k) lies below the x-axis and to the left of the y-axis.

The answer should be D as follows.

(1) (-j, k) lies above the x-axis and to the right of the y-axis. : This gives unique position of the point, hence the unique value for both j and k - Sufficient

(2) (j, -k) lies below the x-axis and to the left of the y-axis: This also gives unique position of the point, hence the unique value for both j and k - Sufficient

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Re: If the product of j and k does not equal zero, is j<0 and k>0?  [#permalink]

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24 Sep 2017, 15:13
If the product of j and k does not equal zero, is j<0 and k>0?

(1) (-j, k) lies above the x-axis and to the right of the y-axis.
(2) (j, -k) lies below the x-axis and to the left of the y-axis.

Statement 1 means that (-j,k) lies on the specific quadrant : Q IV. Sufficient.
Statement 2 means that (j,-k) lies on the specific quadrant : Q III. Sufficient.

D.
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Re: If the product of j and k does not equal zero, is j<0 and k>0? &nbs [#permalink] 24 Sep 2017, 15:13
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