Test Prep GMAT Test Exam
Graduate Management Admission Test: Analytical Writing Assessment (AWA), Quantitative section, Verbal section (Page 13 )

Updated On: 19-Jan-2026

Is the intersection of the two lines: (x + y = 8) and (4y – 4x = 16) inside the circle: x2 + y2 = r2?

(1) r = 81.
(2) The center of the circle is at the coordinate (-99, -99).

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): A

Explanation:

The intersection point of the two lines is easy to find, its (2, 6).
In order for us to know if the point is inside the circle we need to know the exact location of the circle. Statement (1) clears the problem by giving us the radius so all the sufficient data is know.
Statement (2) is not sufficient because it tells us nothing about the radius of the circle.



Is there an intersection between the line (Y = aX - b) and the parabola (Y = X2 + b)?

(1) a < 0.
(2) 0 > b.

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): B

Explanation:

First, draw the parabola and the line.
We can see that the thing that determines if the two intersect is b and not a.
If b > 0 there is no intersection but if b<0 there is an intersection no matter what the value of a is. Therefore, statement (2) is sufficient and (1) is not.



Is there a point of intersection between the circle (X2 + Y2 = 4) and the Line ( Y = aX + b) ?

(1) a = b2.
(2) The line intersects the X-axis at (40, 0).

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): C

Explanation:

From statement (1) we learn that the equation of the line can be written as Y = b2X + b.
From statement (2) we learn that the line goes threw the point (40, 0), from that we can find the equation of the line by posting the coordinate in the equation: 0 = b240 + b.
There is no need to solve it, both statements are sufficient to solve the problem.



Eddy gave Q% of the money he earned last year to his first wife Sandra, W% of the money he earned last year went to his second wife Tawana. How much money did Eddy earn this year?

(1) Q = 20, W = 2Q.
(2) All the money Eddy earned last year went to his two wives.

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): E

Explanation:

From statement (1) and (2) taken together we know how much Eddy earned last year but we know
Nothing about this year, we have no connections between them. Therefore, both statements are not sufficient to answer the question.



Of the 10,000 people that went to the state-fair, how many men ate at the fair?

(1) The percentage of men who ate at the state-fair was twice as those who didn’t eat.
(2) 3,500 women ate at the state-fair.

  1. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
  2. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
  3. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
  4. Either statement BY ITSELF is sufficient to answer the question.
  5. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Answer(s): E

Explanation:

From statement (1) we know the ratio between the men who ate to those who didn’t, but we don’t know how many men were at the fair. Statement (2) doesn’t reveal the number of woman that went to the fair, only the number of woman that ate there.
Therefore, more data is needed to answer the question.



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