Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 151:

  Is Y even?

  (1)

  2Y is even.

  (2)

  Y2 is even.

  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) by itself is insufficient because every number that is multiplied by 2 will result in an even number. Statement (2) is also insufficient by itself since numbers like fulfills this statement although it's not even. Combine the statements and Y must be an even number.

• Question 152:

  X, Y and Z are three positive integers. If Z = 2, what is their sum?

  (1)

  X -Y = 5.

  (2)

  3Y + 15 = 3X.

  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 need to find the value of X + Y since Z is already given to us. Statement (1) is insufficient since we need the sum of X and Y. Statement (2) can be written as: 3X -3Y = 15 X -Y = 5, you can see that both statements are the same and therefore more sufficient data is required.

• Question 153:

  What is the sum of 11 consecutive integers?

  (1)

  The median of the 11 integers is 6.

  (2)

  The average of the 11 integers is 6.

  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) provides us with the numbers themselves- 5 on each side of 6. From Statement (2) we know that average = sum / amount sum = 66. Therefore either statement is sufficient to answer the question.

• Question 154:

  How much is Y percent of X?

  (1)

  400% of Y is 90.

  (2)

  X percent of Y 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: B

  Statement (1) gives us data on Y only regardless to X and therefore it's insufficient. Statement (2) tells us how much is X percent of Y. Make up numbers, X = 25 and Y = 100. X percent of Y is 25 but we also know how much is Y percent of X, 100 is 400% of 25 and therefore this statement is sufficient by itself.

• Question 155:

  Each of the 850 local villagers in Lucia owns either a Golden Retriever or a Bernard. How many people own both?

  (1)

  The number of villagers who own a Golden Retriever only is 300.

  (2)

  The number of villagers who own a Bernard only is 280.

  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

  Each one of the villagers, according to the question, has to own at least one of the two dogs. Statement (1) is insufficient because it says nothing about the Bernard owners. Statement (2) is insufficient because it says nothing about the Golden Retriever owners. Combine the statements, all the information we need is present,(800 ?300 ?280) is equal to the number of people who own both races of dogs.

• Question 156:

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

  (1)

  X3 -3X2 -2X-8 = 0.

  (2)

  4 + 3Y = 2Y + 8.

  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 (X -4)(X2 + X + 2) = 0. The roots of this equation are one integer and two

  complex numbers, which you should pay no attention to since you were told that X is an integer.

  Statement (2) is a simple equation, Y = 4.

  The value of the expression XY is 16.

  Both statements, taken together, are sufficient to answer the question.

• Question 157:

  Is the average of X consecutive numbers odd?

  (1)

  The first number in the series is odd.

  (2)

  The sum of the numbers is odd.

  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 by itself, take X as 2: if the first number is odd, the sum of the two numbers is odd. Take X as 3: if the first number is odd, the sum of the three numbers is even. Statement (2) tells us that the sum of the numbers is odd and therefore the median must be odd. If the median is odd the average of these numbers is also odd because that means that there is an even amount of even numbers and an odd amount of odd numbers. This statement is sufficient by itself.

• Question 158:

  If X and Y are both integers different from zero, what is the value of (X + 2Y)?

  (1)

  X4 = Y4.

  (2)

  X = 5.

  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

  Don't rush the answer, pay attention to the question carefully. Statement (1) tells us that X and Y are

  equal? No, they could have different signs.

  Statement (2) gives us X, which is not sufficient.

  Both statements together are also insufficient since Y can be -5 or 5.

  More sufficient data is required.

• Question 159:

  What is the ratio between A and B?

  (1)

  A is the sum of X, Y and Z.

  (2)

  B is the average (arithmetic mean) of X, Y and 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

  Statement (1) tells us that A = X + Y + Z. Statement (2) tells us that B = (X + Y + Z)/3. Using both statements together: A/B is 3. Both statements together are sufficient.

• Question 160:

  What is the value of (XY)?

  (1)

  X = 2/(9Q).

  (2)

  Y = 4.5Q.

  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

  Combine both statements to get, XY = 4.5Q x 2/(9Q) = 1. Therefore both statements taken together are sufficient.