Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 221:

  Liqueur A contains 24% of alcohol. What is the alcohol concentration of the mixed cocktail of liqueur A and B?

  (1)

  The mixing ratio of liqueur A and B is 1:4

  (2)

  The alcohol concentration of liqueur B is 1.5 times greater than the alcohol concentration of the mixed cocktail.

  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 quantity of each of the liqueurs. Statement (2) gives us the connection between the alcohol concentration of liqueur B and the mixed cocktail. The equation looks like this: 0.2*24 + 0.8 (1.5X) = X.

• Question 222:

  The average monthly income of 14 younger workers is X, Together with 60 older workers, the average monthly income of the workers rose to Y. what is the average monthly income of the older workers?

  (1)

  The factory's monthly budget for all salaries is 300,000$, which is 10 times the salary budget for the younger workers.

  (2)

  The monthly income of all the workers is 10 times the younger workers income.

  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

  Statement (1) can tell us the value of Y, and the value of X, which is enough to solve this problem. Statement (2) alone only defines the connection between X and Y.

• Question 223:

  P is the standard deviation of the heights of NBA basketball players. R is the standard deviation of the heights of 8 weight lifters. Is the average height of the NBA players greater than the average height of the weight lifters?

  (1)

  R>P

  (2)

  There are 5 basketball players that are taller than the tallest weight lifter, and 2 players that are shorter than the shortest weight lifter.

  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

  Since we have no concrete info about the exact heights, or about the value of P and R, we cannot determine whether the NBA players or the weight lifters are taller. We need more data.

• Question 224:

  The average height of a group of children is 125 cm. If one of the children leaves, the average height drops by 2 cm. how many kids were there originally?

  (1)

  The height of the child who left is twice greater than the height of the shortest child.

  (2)

  The height of the child who left is 130 cm.

  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

  Since we don't know how many children there are at all, it won't help us to know the relationship between

  the child who left and the shortest child.

  Statement (2) defines the connection between the sum of the heights before and after the departure and

  using the change in the sum divided by the new number of children we can find the number of children.

• Question 225:

  There are X watermelons of 10 Kg each, and Y Watermelons of R Kg each. The average weight of a watermelon is 12 Kg. What is the value of R? (1) There are five heavier watermelons more than lighter watermelons.

  (2)

  The weight of the heavier watermelons in Kg is equal to their 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) defines the relationship between X and Y. Statement (2) defines the relationship between Y

  and R.

  We get the following equations:

  10 x X + R x Y = 12 (X+Y), Y=X+5, and Y=R. Now solve and find R.

• Question 226:

  A rectangular box is inscribed inside a cylinder. Both the width and length of the box is 2 cm. What is the volume of the cylinder?

  (1)

  The volume of the box is 20 cm3.

  (2)

  The radius of the cylinder is

  

  .

  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

  Statement (1) can provide us the height of the cylinder while statement (2) gives us data we already can conclude from the question.

• Question 227:

  A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball?

  (1)

  The box is a cube

  (2)

  The surface area of the box is 600 cm2.

  A.

  Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

  B.

  Either statement BY ITSELF is sufficient to answer the question.

  C.

  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) tells us that the diameter of the ball is the height of cube, so we can find its volume. Statement (2) actually tells us that the box is a cube, and the rest is similar to statement one.

• Question 228:

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

  (1)

  (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

• Question 229:

  If x and y are primes, and x@y=

  

  , is x@y<1?

  (1)

  x=y

  (2)

  x+y=4

  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

  Since x=y and both are primes,

  

  could equal

  

  when x=y=3, or equal 1 when x=y=2. Therefore, the first statement is not sufficient to solve. According to the second statement, x+y=4, the only primes to match are x=y=2. Now we know that

  and the question is solved.

• Question 230:

  If cookies are put in a jar and the jars of cookies are packed in a carton box, how many cookies does one carton box contain?

  (1)

  Every carton box is filed to half its volume.

  (2)

  Twenty cookies are put in each jar, and 12 jars are put in each carton box.

  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

  The first statement gives no information of the number of cookies. The volume of the carton box or the percent of its volume filled, do not help in finding any number. The second statement gives all the information needed in order to find the number of cookies packed in each carton box. The number of cookies per jar, and the number of jars per box are sufficient to calculate real numbers.