# GMAT Math : DSQ: Graphing an ordered pair

## Example Questions

### Example Question #30 : Graphing

What quadrant contains the point , where ?

Statement 1: Statement 2: BOTH statements TOGETHER are insufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

Explanation:

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.

### Example Question #31 : Graphing

Graph the point .

I) is in quadrant IV.

II)  .

Statement II is sufficient to answer the question, but statement I is not sufficient to answer the question.

Either statement is sufficient to answer the question.

Both statements are needed to answer the question.

Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.

Both statements are needed to answer the question.

Explanation:

Graph the point (a,b)

I) (a,b) is in quadrant 4

II)  To graph (a,b) we need to know a and b

I) Tells us which quadrant the point is in. In quadrant 4, the x value is positive and the y value must be negative.

II) Lets us find the following:  So the only possible location of is .

Therefore, both statements are needed to answer the question.

Tired of practice problems?

Try live online GMAT prep today. 