Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 101:

  How many days will it take two windows cleaners to clean the entire 30 stories building?

  (1)

  The first window cleaner can clean 15 windows in 10 minutes.

  (2)

  The second window cleaner can clean twice as much as the first cleaner in 15 minutes.

  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

  Both statements, taken together, are not sufficient. There is no data on how many windows are in each story of the building and so we can't calculate the time it would take the two cleaners to finish the job. More sufficient data is required.

• Question 102:

  What is the value of AB?

  (1)

  A + 4 = 3A -8.

  (2)

  B2 -12B + 36 = 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

  Statement (1) is insufficient by itself. The value of A from this statement is 6. Statement (2) can be written as (B -6)2 = 0 and therefore the value of B is 6. Combine both statements to calculate the value of the required expression AB.

• Question 103:

  If X and Y are integers, what is the value of Y/X?

  (1)

  X3 + X2 + 2X = 0.

  (2)

  Y -4 = 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

  In order to find the value of Y/X, you need to use both statements to find each of the variables. Statement

  (1) gives only one possible root for X, the expression in statement (1) can be written as X(X2 + X + 2) the

  only solution for X which is an integer is 0, the other two are complex numbers.

  Statement (2) tells us that Y = 4.

  The value of Y/X is undefined, because the denominator is zero and therefore both statements are not

  sufficient in order to determine the value of Y/X.

• Question 104:

  What is the value of X?

  (1)

  4X + 18 = 2X + 22.

  (2)

  8/X + 14 = 6/X + 16.

  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

  We ought to find the value of the unknown X.

  Statement (1) is sufficient because it presents us an equation where the only unknown is X. Statement (2)

  is also sufficient for the same reasons as the first one and therefore each statement is sufficient by itself.

• Question 105:

  47 people are standing behind a large dais, what is least number of people, behind the dais, that are blonde haired and over 6 feet tall?

  (1)The number of blond people is 35.

  (2)

  The number of people who are less than 6 feet tall is 25.

  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 statements (1) and (2) together. You can see that the number of people in each of the groups together

  sums up to a number, which is more than 47 and therefore there must be an overlapping between the

  groups.

  The maximum number of people in both groups is the size of the smaller group, thus 25 people. The

  minimum number of people in both groups is (25 + 35 -47 = 13).

  Both statements, taken together, are sufficient.

• Question 106:

  There are 45 people on the quay, what is the most and the least number of people that are both sailors and erudite?

  (1)

  The number of sailors is 28.

  (2)

  The number of erudite people is 30.

  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 statements (1) and (2) together. You can see that the number of people in each of the groups together

  sums up to a number, which is more than 45 and therefore there must be an overlapping between the

  groups.

  The maximum number of people in both groups is the size of the smaller group, thus 28 people. The

  minimum number of people in both groups is (28 + 30 -45 = 13).

  Both statements, taken together, are sufficient.

• Question 107:

  In a group of 350 academics, how many are either British or French?

  (1)

  There are 100 British in the group.

  (2)

  There are 180 French in the group.

  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 asks, how many are either British or French. In other words, how many people are British or French. Statement (1) is insufficient because it tells us nothing about the French. Statement (2) is insufficient for the same reason, only that it doesn't say anything about the British. Combine the two statements, you know that (100 + 180 = 280) is the number of people that are either British or French.

• Question 108:

  In a group of 200 foreign workers, how many workers can read and write?

  (1)

  80 workers can write.

  (2)

  90 workers can read.

  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) is insufficient because it tells us nothing about workers who can read. Statement (2) is insufficient because it tells us nothing about workers who can write. Combine the two, still you don't know if there is any overlapping between the two groups and thus more sufficient data is required.

• Question 109:

  A CNC machine produces metal parts through the machining process. How many aluminum cubes can the machine produce in 40 minutes?

  (1)

  The CNC machine produces 3 steel cubes in 20 minutes.

  (2)

  The rate in which the machine produces steel cube is three times slower than the rate of producing aluminum cubes due to the lower density of aluminum relative to steel.

  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 are to find the rate in which the CNC machine produces aluminum cubes and then multiply it by the required time.

  Statement (1) is insufficient because it gives us the rate of producing steel cubes, which is a different type of metal. Statement (2) tells us that the rate of production is 3 times quicker in aluminum and therefore using both statements together, we can calculate the necessary rate.

• Question 110:

  If there are 350 words in each page, how many pages can Susan type in one hour?

  (1)

  There is an average of 30 twenty-word lines in one page.

  (2)

  Susan can type 15 twenty-word lines in two minutes.

  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

  We are given the amount of words per one page, and we are asked how many pages can be typed in one hour. In order to be able to answer this question, we need to know the rate of Susan's typing. Statement (2) gives us just that, it tells us that Susan can type (15 x 20 = 300) words in two minutes and therefore this statement is sufficient by itself. Statement (1) is insufficient because it only gives us an average data of 20 words lines with out any correlation to Susan's rate of typing.