DSQ: Graphing an ordered pair - GMAT Quantitative

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Question

What quadrant contains the point , where ?

Statement 1:

Statement 2:

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Answer

Statement 1 alone tells you that and are of the same sign, so the point is in Quadrant I (both positive) or Quadrant III (both negative).

Statement 2 tells you that any of the following hold:

is positive and is negative - example:

is negative and is negative - example:

is positive and is positive - example:

This places the point in any quadrant except Quadrant II (where is negative and is positive).

The two statements together only eliminate two quadrants and leave both Quadrant I and Quadrant III as possibilities.

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