Admission Test Admission Test Certification GMAT-QUANTITIVE Questions & Answers

• Question 11:

  If X and Y are both two-digit numbers, is XY an even number?

  -

  The sum of X and Y gives an even number.

  -

  The value of Y is three times the value of X.

  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) isn't sufficient, X and Y can be both odd or both even, but their multiplication can be either one. Statement (2) tells us that Y = 3X, X and Y can both be even or odd from this statement and therefore this statement is also insufficient. Both of the statements imply the same thing and so combining them will not help. More data is required.

• Question 12:

  If A and B are two different two-digit numbers, is (A + B)/2 an integer?

  -AB is an odd number.

  -

  (B -A) is an even 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: D

  We are required to find if the sum of A and B is an even number. Statement (1) tells us that AB is odd. The multiplications of two odd numbers only will give an odd number and so A and B are both odd numbers and therefore their sum is an even number. This statement is sufficient by itself. Statement (2) is also sufficient, if the difference between two numbers is even then the numbers can either be both odds or both even. In any of the cases, their sum is even.

• Question 13:

  Is A a multiple of B?

  -B is a multiple of A.

  -

  2A is a multiple of B.

  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

  Rephrase the question: is A/B an integer?

  Statement (1) can be written as: B/A is an integer. Take A = 5, b = 10: B/A is an integer but A/B isn't. Take A=B=4, A/B = B/A and they are both integers and therefore this statement is insufficient. Statement

  (2) can be written as 2A/B is an integer. Take A=10, B=20: 2A/B is an integer but A/B isn't.

  Take A=B=1: 2A/B is an integer and also A/B is an integer and therefore this statement is also insufficient.

• Question 14:

  On an IQ exam, each correct answer grants the examinee with 3 points but every wrong answer deducts 1 points. How much did Ernst get on the IQ exam?

  -There are 50 questions in the IQ exam.

  -

  The ratio between the right answers and the wrong answers that Ernst answered is 9 to 1.

  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 C as the number of correct answers and W as the number of wrong answers.

  Statement (1) tells us that C + W = 50.

  Statement (2) tells us that (50 / (9+1) = 5) is the number of wrong answers and so 45 is the number of right

  ones. Using the numbers presented in the question we can answer the question of how much Ernst got.

  Thus, Statement (1) and (2) combined are sufficient.

• Question 15:

  In order to pass the Bar exam, one should answer 65% of the answers correctly. Did Kevin pass the Bar exam?

  -

  Kevin made a mistake on less than 40% of the questions.

  -

  Kevin answered twice as many correct answers as wrong ones.

  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

  From statement (1) we can conclude that the number of correct answers is more than 60%. This statement isn't sufficient on its own because we don't know if Kevin answered more or less than 65%. Statement (2) is sufficient, it tells us that two third (66.7%) of the questions were correct and therefore Kevin passed the test.

• Question 16:

  If red buckets can be filled with 0.5 liters of sand and blue buckets can be filled with 0.8 liters of sand, how many buckets were filled?

  -The buckets were filled with 8 liters of sand total.

  -

  Three more red buckets than blue were filled with sand.

  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 R as the number of red buckets and B as the number of blue ones. From the question and statement (1) we can write the following equation: 0.5R + 0.8B = 8. This equation has three different solutions: (0 red and 10 blue), (0 blue and 16 red), and (5 blue and 8 red). Since it is possible to have no red or no blue buckets, all three solutions apply and there is not enough information. From statement (2) we can write the following equation: R = B + 3. Combining both statements will result in two equations with two unknowns, so we can solve the question. And get the third solution only.

• Question 17:

  At the Rocket propulsion center, hybrid missiles are being tested 4 times a day and scramjet missiles are being tested 6 times a day. If at a certain day 186 tests were held, what is the difference between the numbers of hybrid missiles to scramjet missiles that were tested?

  -

  There are 37 missiles total in the Rocket propulsion center.

  -

  There are 19 scramjet missiles in the Rocket propulsion center.

  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

  Define H as the number of hybrid missiles and S as the number of scramjet missiles. The question lets us

  set up the equation: 4H + 6S = 186. We need one more equation in order to answer the required question.

  Statement (1) can be written as H + S = 37.

  Statement (2) can be written as S = 19.

  Either statement by itself is sufficient because it presents us with a second equation.

• Question 18:

  What is the value of (X + Y)?

  -X2 -X + 4 = 0.

  -

  Y2 + 6Y + 8 = 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

  Statement (1) can also be written as (X -2)2 and therefore X = 2. Statement (2) can also be written as (Y + 4)(Y +2) and therefore the value of Y is not distinct. (X + Y) can have two different values, and therefore more data is required.

• Question 19:

  What is the value of XY?

  -X2 -2X + 1 = 0.

  -

  Y2 + 8Y + 16 = 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) can also be written as (X ?1)2 and therefore X = 1. Statement (2) can also be written as (Y + 4)2 and therefore Y = -4. Using both statements together, we know the value of X and Y and so we can calculate XY.

• Question 20:

  What is the average (arithmetic mean) of X and Y?

  -XY = 12.

  -

  2X = 26 -2Y.

  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

  Use the average formula: the average of X and Y is (X+Y)/2. Statement (1) gives us the value of XY and not (X+Y) and is therefore insufficient. Statement (2) can be simplified to: 2X + 2Y = 26 ---> (X+Y) = 13. This statement is sufficient by itself.