SajjadAhmad
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 POSITIVEStatement 2 tells us that (w, y) lies in quadrant III. In quadrant III, the y-coordinate is always NEGATIVE. So,
y is NEGATIVEIf
x is POSITIVE and
y is NEGATIVE, then
the point (x,y) lies in quadrant IVSince we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent