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DS - Quadrant - (bet it is confusing!!!)

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DS - Quadrant - (bet it is confusing!!!)

by karthikpandian19 » Tue Jun 12, 2012 7:10 pm
In what quadrant of the coordinate plane does point (w, z) lie, if wz ≠ 0?

(z, w) is in quadrant III.
(-w, z) is in quadrant IV
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by sam2304 » Tue Jun 12, 2012 9:30 pm
1.(z, w) is in quadrant III.

Both z and w are -ve. So (w,z) will also have -ve values and will lie in quad III. SUFF

2.(-w, z) is in quadrant IV

Quad IV has x +ve and y -ve. So -w is +ve and z is -ve => w -ve and z -ve (Quad III). SUFF

IMO D.
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by karthikpandian19 » Tue Jun 12, 2012 11:19 pm
OA is D
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by karthikpandian19 » Tue Jun 12, 2012 11:20 pm
The question asks us to determine which quadrant (w, z) is in, given that neither w nor z is equal to 0. Note that points in quadrant I have positive x and y values, points in quadrant II have negative x values and positive y values, points in quadrant III have negative x and y values, and points in quadrant IV have positive x values and negative y values.

Statement 1 tells us that (z, w) is in quadrant III. As we just observed above, points in quadrant III have negative x values and negative y values, and therefore both w and z are negative and therefore (w, z) is also in quadrant III. Statement 1 alone is sufficient to answer the question. The answer is A or D.

Statement 2 tells us that (-w, z) is in quadrant IV. As we've said, all points in quadrant IV have positive x values and negative y values. This tells us that -w is positive and so w is negative, and that z is negative. Since w and z are both negative, (w, z) is in quadrant III. Statement 2 alone is also sufficient to answer the question.

Answer choice D is correct.
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by khandelwal.ab » Wed Jun 13, 2012 7:22 am
Interesting question..thanks for posting Karthik!
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by Jim@StratusPrep » Fri Jun 15, 2012 6:25 am
spot on, answer is D. If you know the sign of the numbers, you know the quadrant.
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