Admission Test Admission Test Certification GMAT-QUANTITIVE Questions & Answers

• Question 31:

  What percent is A of B?

  (1)

  B is 32 more than the square root of A.

  (2)

  A is more than 12 less than B/2.

  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

  In this question you have two unknowns, A and B, and thus you need two equations.

  Statement (1) is not enough to find A and B.

  Statement (2) can be written as: A > B/2 -12.

  The second statement is an inequality and not an equation and another equation is needed to solve the question.

• Question 32:

  What kind of flowers does a florist have more of, lilacs or roses?

  (1)

  The number of roses he has is less than 6 times the number of lilacs that he has.

  (2)

  One fifth of the number of Lilacs is less than the number of roses that he has.

  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

  Define R as the number of roses and L as the number of lilacs. From the first statement we can write the following inequality: R < 6L. Both L = 1 and R = 2, L = 2 and R = 1 fit the inequality and therefore this statement is insufficient. From statement (2) we can write the following inequality: L/5 < R. Both L = 1 and R = 2, L = 2 and R = 1 fit the inequality and therefore this statement is insufficient. Both statements combined are also insufficient, use the same numbers to prove it and therefore more data is required.

• Question 33:

  There are two bus routes that go through the chapel and the cemetery. For each route, the bus company may use one of two types of buses, a standard bus or a duplex bus. How many passengers total can travel in the duplex bus?

  (1)

  When both buses are used for the routes, as many as 90 passengers can travel from the chapel to the cemetery.

  (2)

  On Saturday, the busiest day of the week, two duplex buses are used for each of the routes and as many as 120 passengers can travel from the chapel to the cemetery.

  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

  Define S as the number of passengers that can travel in the standard bus and D as the number of

  passengers in the duplex bus.

  Statement (1) can be written as S + D = 90. Insufficient.

  Statement (2) can be written as 2D = 120.

  Combine the statements, you got all the data you need to solve the question and therefore they are

  sufficient together.

• Question 34:

  What is the value of the integer X?

  (1)

  X2 = 81.

  (2)

  X is a square of a prime number.

  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 X can be either 3 or -3. Statement (2) is insufficient since X can be 22,

  32, ... Both statements together are sufficient since (2) eliminates the negative option of (1).

  X is 3.

• Question 35:

  Bob earns twice as much as Bobby and Bobby earns two thirds as much as Buddy does. How much did Bob earn?

  (1)

  All three earn a total of 18,000 dollars.

  (2)

  Buddy earns $6,000.

  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: D

  Pay attention, the question presents two equations with three unknowns and therefore one more equation

  is required in order to solve the question.

  Statement (1) is sufficient since it presents another equation. Statement (2) is also sufficient since it tells us

  one of the unknowns.

  Either statement alone is sufficient.

• Question 36:

  A certain basketball player receives a $700 bonus for every dunk that he performs and a $1,000 bonus for every game that the team wins. Last month, the player earned $9,100 on bonuses only, how many dunks did he preform last month?

  (1)

  Last month the player preformed at least 3 dunks.

  (2)

  The number of dunks, last month, was two and a half times smaller than the number of wins.

  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 insufficient since it gives two possible options: 13 dunks or 3 dunks and 7 wins. Statement

  (2) is sufficient since it eliminates all the answers but one: 7 wins and 3 dunks.

• Question 37:

  Mike spends 50% of his time studying and 20% of the rest of his time going to the Jym. Jim spends 60% of his time in the Jym and 85% of the rest of his time studying. How many hours more does Mike spend on studying than Jim?

  (1)

  Jim spends 22 hours a week on working out.

  (2)

  Mike spends 18 hours a week on studying for the finals.

  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

  (1) Is insufficient since it gives us information regarding Jim only. (2) Is insufficient since it gives us information regarding Mike only. In order to compare the number of hours Mike and Jim spend studying, we need a real data regarding the number of hours each spends on any activity. Therefore, we need to use both statements.

• Question 38:

  In the past few years, the import of cars to Italy increased significantly. In the years 1994 to 2001 the number of imported cars increased by 12% each year. How many cars were imported to Italy in the year 2000?

  (1)

  In 1997, 12,500 cars were imported to Italy.

  (2)

  During the years 1997 to 1999, 42,180 cars total were shipped to Italy.

  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

  From the question we know that the number of cars grew by 12% each year. From (1) we can learn that if in 1997 12,500 cars were shipped then in 1998 (1.12 x 12.500) cars were shipped and so on until 2000. This statement is sufficient. From (2) we can learn that during a certain period 42,180 cars were shipped, if you define X as the number of cars that were shipped in 1997 then: 42,180 = X + 1.2X + 1.2(1.2X) and so we can find X and anything else we wish to find. Either statement alone is sufficient.

• Question 39:

  Is A an odd integer?

  (1)

  AB + AC is an even integer.

  (2)

  B = 15 -C.

  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) can be written as A(B + C), which means that A or (B+C) must be even. Statement (2) tells

  you that (B + C) is odd and therefore, using statement (1) A must be even.

  Both statements, taken together, are sufficient.

• Question 40:

  Is Y even?

  (1)

  WX + YW + ZW is an odd number.

  (2)

  X = 8 -Z.

  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 (1) we can learn that W(X + Y + Z) is odd and therefore W is odd and also (X+Y+Z).

  From (2) we can learn that (X+Z) is even.

  Use both statements together: (X + Y + Z) is odd yet (X + Z) is even and therefore Y must be odd.