Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 81:

  If X and Y are both integers different from zero, what is the value of (X + Y)?

  (1)

  X3 = Y3.

  (2)

  Y = 10.

  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) gives us the relations between X and Y, they must be equal because the power is odd.

  Statement (2) gives us Y and by using the first statement, we know the value of X also.

  Both statements, taken together, are sufficient.

• Question 82:

  If Z is an integer, is Z/3 an odd integer?

  (1)

  Z/3 is an integer.

  (2)

  Z/6 is an integer.

  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. If Z=6, Z/3 is even and if Z=9, Z/3 is odd. Statement (2) is sufficient. If Z/6 = X (X is an integer according to the statement) then Z/3 = 2X. 2X must be an even integer since it's a multiplication of an integer by 2. Therefore Z/3 is always even. Statement (2) is sufficient.

• Question 83:

  A hose was divided into 3 smaller and different in size hoses. What is the difference between the length of the largest and the smallest hose?

  (1)

  The sum of the two larger hoses is 45 feet.

  (2)

  The sum of the two smaller hoses is 23.

  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

  Translate the statements into variables: Let X, Y and Z be the thee pieces of the hose, X

  Statement (1) can be written as: Z + Y = 45.

  Statement (2) can be written as: X + Y = 23.

  In order to find the difference between Z and X, subtract the second statement from the first to get:

  Z -X = 22, and this is what we were looking for.

  Both statements, taken together, are sufficient.

• Question 84:

  Is X bigger or smaller than Y?

  (1)

  X > Z.

  (2)

  Y > 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: E

  Use both statements. Pick Z = 2.

  X=3, Y=4 fulfill both statements and Y>X.

  X=4, Y=3 fulfill both statements and Y

  Therefore more sufficient data is required.

• Question 85:

  As the new basketball season reopened, 40 players received either a yellow ball or a red ball as a present. How many basketball players received the yellow ball as a present?

  (1)

  16 players received the red ball.

  (2)

  50% more players received the yellow ball than players who received the red ball.

  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 since it gives us the number of players who received red balls. The number of players who received yellow balls is (40 ?16 = 24). Statement (2) is sufficient, Define X as the number of players that received a red ball. X + 3X/2 = 40 X = 16 and so (40 ?16 = 24) is the number of players who received a yellow ball.

• Question 86:

  If B is an odd number, what is the value of B?

  (1)

  20 < B < 30.

  (2)

  (B -1) is divisible by 3.

  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) narrows down B to the following numbers: 21, 23, 25, 27, 29. This statement is insufficient by itself. Statement (2) is also insufficient by itself since more than one numbers fulfill the statement. If you combine the two statements, you will narrow down B to be 25. Therefore both statements, taken together, are sufficient.

• Question 87:

  35% of the students in Cambridge study engineering. How many students in Cambridge study Aerospace engineering with honors?

  (1)

  18% of the total number of students in Cambridge, which is 10,000, study with honors.

  (2)

  One fifth of the honor students study Aerospace engineering.

  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) tells us that (0.18 x 10,000 = 1,800) student's study with honors. Statement (2) tells us that

  (0.2 x 1,800 = 360) is the number of students that study Aerospace engineering with honors. Both statements, taken together, are sufficient.

• Question 88:

  Jean and Jordy each had to wash half of a rectangular floor. If Jean finished his part of the job after 45 minute, how long will it take Jordy to finish his half?

  (1)

  Jean can wash 10 meters square in 5 minutes, which is twice as fast as Jordy.

  (2)

  The area of the rectangular floor is 180 meters squared.

  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 know how much time it took Jean to wash the floor and we need Jordy's time. Statement (1) tells us that the rate of Jean is double than the rate of Jordy and therefore it will take him twice as long to wash his half of the floor. The numbers that describe the rate of Jean are irrelevant to the question and so is statement (2) .

• Question 89:

  Bony and Clyde, each had to translate half of a new blockbuster movie. If Bony finished her half after two hours and 20 minutes, how long will it take Clyde to finish his half?

  (1)

  Bony can translate 3 lines of speech in 1 minute, which is one and a half faster than Clyde.

  (2)

  The movie contains 840 lines of speech.

  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 are told that each of the translators has to finish the same job (each has to finish one half). Statement

  (1) tells us that Bony can translate 1.5 faster than Clyde and therefore it would take him 1.5 times more than Bony's time. This statement is sufficient, the data about the specific translation rate is irrelevant and so is statement (2).

• Question 90:

  X, Y and Z are three numbers. If Y = 5, what is their sum?

  (1)

  X -Z = 10.

  (2)

  Z -Y = 15.

  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

  We need to find the value of X+Y+Z. Y is given to us so we need the value of (X+Z). Statement (1) is insufficient by itself since we are given the value of (X ?Z) and not (X + Z). From statement (2) we can find the value of Z, and from there return to statement (1) and find the value of X. Both statements, taken together, are sufficient.