Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 91:

  Is A5 > A2?

  (1)

  A is an integer.

  (2)

  A is positive.

  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

  There are 3 cases in which the inequality is not true: when A is negative, when A is a fraction and when A

  is equal to 1. Statements (1) and (2) cover up two of the cases above, yet A=1 fulfills both statements and

  still the inequality will not be true.

  More sufficient data is required.

• Question 92:

  What was the maximum wind speed on January 1998?

  (1)

  The average (arithmetic mean) of the maximum monthly wind speed between March 1997 and January 1998 is 35 knots, which was higher by 12 knots from the average (arithmetic mean) of the maximum monthly wind speed between February 1997 and December 1997.

  (2)

  The maximum wind speed on January 1998 was 8 knots higher than the maximum wind speed on February 1997.

  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

  The question doesn't tell us much, go straight to the statements. From statement (1) we can find the sum

  of the wind speeds between March 1997 and January 1998, which is (11 x 35 = 385 knots). The average

  of the other group of months is (11 x (35 ?12) = 253).

  The difference between the two numbers is the sum of the maximum in January 1998 and February 1997.

  Define J as the maximum on January and F as the maximum on February, you can write the following

  equation: J + F = (385 ?253 = 112). J is what we're looking for.

  Statement (2) can be written as J ?F = 8.

  We have two simple equations with two unknowns, both statements together are sufficient.

• Question 93:

  Last year, what was the average (arithmetic mean) number of cookies consumed by a person in the Swanson family?

  (1)

  Last year, the family consumed 45 boxes of cookies.

  (2)

  Each box of cookies contains 12 delicious cookies.

  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

  We are required to find the number of cookies that each person consumed. Statement (1) and (2) tell us

  that (45 x 12) cookies were consumed by the entire family last year. This data is insufficient because we

  don't know how many members are in the Swanson family.

  More sufficient data is required.

• Question 94:

  Willy the wale receives sugar cubes every time he does something exquisite. How many sugar cubes did Willy get on yesterday's show?

  (1)

  Today, Willy performed the same show as yesterday.

  (2)

  Today, Willy received 11 sugar cubes.

  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

  The question asks about the number of cubes that Willy received on yesterday's show, which is dependent

  on his performance.

  Statement (1) tells us that Willy did the same show but it didn't mention how did he perform, did he do the

  same number of exquisite acts? This statement is insufficient. Statement (2) only completes statement (1)

  by telling us how many cubes of sugar he received.

  More sufficient data is required.

• Question 95:

  A waiter earns a basic amount of 500 pounds per month regardless of her tips. How much did the waiter receive on tips during the month of May?

  (1)

  On May, the waiter earned a total amount of money that was 150% of the basic.

  (2)

  The waiter receives an average amount of 250 pounds on tips per month.

  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

  We need to find the amount of money that the waiter earned on tips. Statement (1) tells us that the total amount money earned is 150% of the basic, therefore the tips are 50% of 500 pounds, thus 250 pounds. This statement is sufficient. Statement (2) is insufficient since the amount of tips earned on may can be over or under the average and so we can't pinpoint the exact amount.

• Question 96:

  An air-balloon is filled with air, how long will it take to fill it assuming that its volume is 30 meters cubed?

  (1)

  Every minute the pump fills 1 meter cubed and emits one fifth of that amount.

  (2)

  The net airflow to the balloon is 0.8-meter cube per minute.

  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

  The volume is given in the question and so we ought to find the rate of fulfillment. Statement (1) tells us that every minute 1 meter cubed is going in and 0.2 is going out, making a total of 0.8 meter cube air going in per minute. Statement (2) gives us right away the net flow of air going in to the balloon. Therefore, each statement is individually sufficient.

• Question 97:

  The town rules in Kid-Town require each house to have at least a ping-pong table or a soccer-table. If there are 50 houses in Kid-Town, how many houses carry both types of tables?

  (1)

  The number of houses that have a ping-pong table only is 20.

  (2)

  The number of houses that have a soccer table is 40.

  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

  Pay attention to the statements, (1) gives you the exact number of houses who have a ping-pong table only as opposed to the other statement, which tells you that 40 houses have a soccer-table. There are two possible answers to the question: there are (40 + 20 ?50 = 10) houses with both tables in them or there are 20 houses (the size of the small group). The answer is not distinct and therefore more sufficient data is required.

• Question 98:

  How many hours will it take ship A and ship B to transfer 50 cars from one side of the river to the next?

  (1)

  Ship A can transfer 5 cars in 10 minutes.

  (2)

  Ship B can transfer twice as many cars in half the time.

  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

  This is a simple rate problem. In order to find the time it will take both ships to finish the job, we need to

  know the output of each ship.

  Statement (1) gives us the output of ship A, which is 30 cars per hour. Statement (2) gives us the output of

  ship A, which is 120 cars per hour.

  Both statements, taken together, are sufficient.

• Question 99:

  There are three sprinters on a racetrack. How much time will it take all three to finish an 800 meters race?

  (1)

  The first runner can run the fastest, he runs at a 110% of the slowest runner.

  (2)

  The slowest runner runs at a constant speed of 7 meters per second.

  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

  The trick to this question is to understand that the time it would take them all to finish the track is the time it would take the slowest sprinter to finish the track. Statement (1) tells us that the first sprinter is the fastest among the three. Statement (2) tells us that the third sprinter runs the slowest and therefore they determine the time it would take all of them to finish the track. The rate of the slowest sprinter is given and so this answer is solvable.

• Question 100:

  How long will it take until Andy and Tim to finish swimming 1500 meters?

  (1)

  Andy can swim at a constant rate of 100 meters in one minute.

  (2)

  Tim can swim faster than Andy.

  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

  There is a trick to this question, the time until both swimmers finish swimming 1500 meters is the time it takes the slower swimmer among the two to finish swimming. Statement (1) tells us the rate of Andy, we can calculate the time it would take him to finish 1500 meters. This statement is insufficient by itself since we don't know that Andy is slower than Tim. Statement (2) completes statement (1) by telling us that Tim is faster and so the time is determined by Andy's time. Both statements, taken together, are sufficient.