Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 41:

  Is X negative?

  (1)

  X + 12 < 0.

  (2)

  12X > 14X.

  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: D

  Statement (1) is sufficient. Subtract 12 from both sides to get X < -12 and therefore X is negative. Statement (2) is also sufficient. In order for the left side of the inequality to be bigger than the right side, X must be negative.

• Question 42:

  The Ponds basketball team played 45 games this season, how many did they win?

  (1)

  The Ponds won their first 25 games in this season. (2) The team won none of their last 5 games and of the rest they won 75%.

  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) only refers to the first 25 games, all the others are unknown and therefore this statement is

  insufficient by itself.

  Statement (2) is sufficient. The rest of the games after reducing the 5 last ones that were lost is 40 games.

  75% of the 40 games give 30 games that the team won.

• Question 43:

  From January 1948 to March 1981, the value of an antique house in the downtown area tripled. What was its value back in January 1948?

  (1)

  From March 1981 to September 2001, the value of the house doubled.

  (2)

  The value of the house in September 2001 was $300,000.

  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

  Use both statements and solve the problem backwards.

  In 2001 the value was $300,000, which is double the value in 1981. In 1981, the value of the house was

  $150,000, which is triple the value in 1948.

  In 1948, the value of the house was $50,000.

  Both statements, taken together, are sufficient.

• Question 44:

  12 liters of a certain water-based color contain A liters of water and B liters of color. How many liters of water are in the water-based color?

  (1)

  A2 + 16 = 8A.

  (2)

  B2 -2B = 48.

  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: D

  Statement (1) can be written as: (A -4)2 -->; A = 4 and B = 12 ?4 = 8. Sufficient. Statement (2) can be written as: (B + 6)(B -8) -->; B = -6 or B = 8 but B must be a positive, so B = 8 ---> A = 12 -8 = 4. Either statement by itself is sufficient.

• Question 45:

  Travis parked at a certain parking lot that charges more for the first hour of parking than any other hour. If it cost Travis 5.5 dollars, how much time total did he park in the parking lot?

  (1)

  Parking charges are $1.5 for the first hour and $1 for any additional hour of parking or a part of it.

  (2)

  If the charges for the first hour were $2 then Travis would have paid $6 for parking.

  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

  Statement (1) gives the data on the charges but it says that every fraction of an hour is rounded up and therefore, even if Travis was 4 and 10 minutes, he still has to pay for 5 hours. We cannot determine the exact time that Travis parked. Statement (2) is insufficient since it doesn't change the accuracy problem introduced in (1). More data is required.

• Question 46:

  The line Y = 3X is drawn on a rectangular axis system. If the line is rotated, on which quadrant will it be found?

  (1)

  The rotation is done clockwise.

  (2)

  The line is rotated 180 degrees.

  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

  Draw an axis system and draw a line from the coordinate (0, 0) in the first quadrant. From (1) we can learn that the rotation is done clockwise which is insufficient. From (2) we can learn that the rotation is 180 degrees, but in which way? It doesn't matter since the rotation is half a circle, which in both ways will be parallel to the original position. This statement is sufficient and the line will be in the third quadrant.

• Question 47:

  The line Y = X/2 is drawn on a rectangular axis system. If the line is rotated, on which quadrant will he be found?

  (1)

  The rotation is done counter clockwise.

  (2)

  The line is rotated 270 degrees.

  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

  Draw an axis system and draw a line from the coordinate (0, 0) in the first quadrant. From (1) we can learn that the rotation is done counter clockwise which is insufficient. From (2) we can learn that the rotation is 270 degrees, but in which way? Join the statements, we know that a 270 degrees turn counter clockwise was made and therefore the line is now in the fourth quadrant.

• Question 48:

  A map is divided into blocks. Each block is 1 inch long and 1 inch wide. Every inch on the map represents 20 miles. What is the maximum actual total distance that the Flanders family traveled?

  (1)

  The Flanders were on three different adjacent blocks on the map.

  (2)

  The Flanders traveled in a straight line through the blocks.

  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

  Statement (1) is insufficient since we don't know how many times the family was in each block and how their trip looked like. Statement (2) is also insufficient. It is not known through how many blocks the Flanders drove. Both statements together are sufficient since the longest distance traveled through three blocks is the diagonal starting at the bottom corner of the lowest block and ending at the top opposite corner of the top block. The length of this line can be calculated using the Pythagorean theorem.

• Question 49:

  How much did Nancy pay for her new air-conditioner?

  (1)

  Nancy paid 12 payments, one every month.

  (2)

  On April, Nancy paid $130.

  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

  Statement (1) tells us that Nancy paid one statement every month. Statement (2) gives us a specific payment on a specific month. Each statement by itself is insufficient and (1) and (2) together are also insufficient since it is not mentioned that the all the payments are equal.

• Question 50:

  Nicola bought a new cellular phone. How much did it cost him?

  (1)

  Every month Nicola pays 45 franks to the cellular company, which includes the calls and the cellular device itself.

  (2)

  Every month, Nicola spends twice on calls than on the cellular device.

  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

  Statement (1) gives the total cost of the device and the calls, define C as calls and D as device. You can write the following equation: C + D = 45. (1) is insufficient. Statement (2) is also insufficient by itself, it implies that C = 2D. (1) and (2) together are sufficient to find D and C but that is not enough. D is the money spent on the device per month while we want the total price of the device. If we knew how many months he paid we would have enough data.