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If wxyz ≠ 0, in what quadrant of the coordinate system above does poin

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Sajjad1994
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If wxyz ≠ 0, in what quadrant of the coordinate system above does poin [#permalink] If wxyz ≠ 0, in what quadrant of the coordinate system above does poin   19 Feb 2017, 07:58
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If wxyz ≠ 0, in what quadrant of the coordinate system above does point (x, y) lie?

(1) (x, z) lies in quadrant I.
(2) (w, y) lies in quadrant III.
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C
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BrentGMATPrepNow
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Re: If wxyz ≠ 0, in what quadrant of the coordinate system above does poin [#permalink] If wxyz ≠ 0, in what quadrant of the coordinate system above does poin   19 Feb 2017, 10:00
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SajjadAhmad wrote:
If wxyz ≠ 0, in what quadrant of the coordinate system above does point (x, y) lie?

(1) (x, z) lies in quadrant I.
(2) (w, y) lies in quadrant III.


Target question: In what quadrant of the coordinate system above does point (x, y) lie?

Statement 1: (x, z) lies in quadrant I
Since there is no information about the value of y, we cannot determine the quadrant in which the point (x,y) lies.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: (w, y) lies in quadrant III.
Since there is no information about the value of x, we cannot determine the quadrant in which the point (x,y) lies.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that (x, z) lies in quadrant I. In quadrant I, the x-coordinate is always POSITIVE. So, x is POSITIVE
Statement 2 tells us that (w, y) lies in quadrant III. In quadrant III, the y-coordinate is always NEGATIVE. So, y is NEGATIVE

If x is POSITIVE and y is NEGATIVE, then the point (x,y) lies in quadrant IV
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

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Re: If wxyz ≠ 0, in what quadrant of the coordinate system above does poin [#permalink] If wxyz ≠ 0, in what quadrant of the coordinate system above does poin   19 Feb 2017, 21:54
C.

1. --> We can only say that x & z are positive. Not sufficient.
2. --> We can only say that w & y are negative. Not sufficient.

Combining both statements, we can find out that (x,y) lies in 4th quadrant since x is +ve and y is -ve.
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Re: If wxyz ≠ 0, in what quadrant of the coordinate system above does poin [#permalink] If wxyz ≠ 0, in what quadrant of the coordinate system above does poin   20 Feb 2017, 07:07
Answer : C

Stmnt implies that x & z are both positive. >>1 Insufficient.
Stmnt 2 implies that w & y are both negative. >>2 Insufficient.

Combining, x is +ve and y is -ve. Therefore (x,y) lies in 4th Quadrant. >> Together Sufficient
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Re: If wxyz ≠ 0, in what quadrant of the coordinate system above does poin [#permalink] If wxyz ≠ 0, in what quadrant of the coordinate system above does poin   10 Mar 2017, 15:05
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SajjadAhmad wrote:
If wxyz ≠ 0, in what quadrant of the coordinate system above does point (x, y) lie?

(1) (x, z) lies in quadrant I.
(2) (w, y) lies in quadrant III.

Dear [url]SajjadAhmad[/url]

I'm happy to respond. :-)

My friend, this question is a very easy question, and therefore not really representative of what the GMAT would ask, except on perhaps the low-level Quant questions.

Here's a far more challenging question
Quadrant from signs

Let me know if there are any questions.
Mike :-)
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Re: If wxyz ≠ 0, in what quadrant of the coordinate system above does poin [#permalink]
10 Mar 2017, 15:05
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