Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 191:

  What is the value of (A + B) ?

  (1)

  B = 12 -3B.

  (2)

  A2 + 4A -16 = 0.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  From statement (1) we can find the exact value of B.

  From statement (2), we can find two answers for variable A, therefore the answer is not unequivocally and

  both statements taken together are not enough, more sufficient data is needed.

• Question 192:

  What is the value of A + B?

  (1)

  A = 8 -B.

  (2)

  (A + B)2 -64 = 0.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: A

  From statement (1) we know right away that A + B = 8.

  From statement (2) we don't know if A + B = 8 or -8.

  Therefore only statement one is sufficient to answer the question.

• Question 193:

  Is the sum of X consecutive numbers zero?

  (1)

  The largest number is 5.

  (2)

  The median number is zero.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: B

  Statement (1) is not sufficient because the series of numbers is not blocked from the smaller numbers. Statement (2) is sufficient by itself because we know that if the median number is 0, then the sum of the numbers must be even.

• Question 194:

  990 people went to the GMAT exam, how many boys didn't pass the test?

  (1)

  321 girls didn't pass the test, which is the number of boys that did.

  (2)

  One fifth of the people that went to the GMAT exam were boys who eventually didn't pass the test.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: B

  Statement (1) gives us information about the number of boys that passed the test but no useful information

  about the other part of the boys.

  Statement (2) by itself gives us the answer to the question (1/5 x 990).

  Therefore, the answer is B.

• Question 195:

  Out of the 100 kids that went to the party, how many girls danced there?

  (1)

  25 girls don't like to dance and so they didn't.

  (2)

  The number of boys that danced is twice the number that didn't dance.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  From statement (1) we know that 25 out of X girls didn't dance. We need to know how many girls in total were in the party. Statement (2) doesn't tell us anything about the number of boys or girls that went to the party but only the ratio between those who danced to those who didn't. Therefore, more sufficient data is needed to solve the problem.

• Question 196:

  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.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  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.

• Question 197:

  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.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: E

  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.

• Question 198:

  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).

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: C

  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.

• Question 199:

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

  (1)

  a < 0.

  (2)

  0 > b.

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: B

  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.

• Question 200:

  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).

  A.

  Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

  B.

  Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

  C.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: A

  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.