Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 211:

  If A is a prime number, what is the value of A?

  (1)

  0 < A < 10.

  (2)

  (A -2) 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: E

  Statement (1) narrows down A to be one of: 1, 2, 3, 5 and 7. This statement is insufficient. Statement (2) is also insufficient; there are a lot of numbers that fulfill this statement, like 17, 23 and many more. Even after you combine both statements, there are still two options: 5 and 2. In both, when subtracting 2 we get a

  number that is divisible by 3.

• Question 212:

  If x and y are positive integers, is 5x (1/4)y < 1 ?

  (1)

  Y = 3x.

  (2)

  X = 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: A

  Use statement (1) to write: 5x(1/4)3x = (5/64)x. Because x is a positive integer only, the expression will always be smaller than 1. This statement alone provides us the answer. Use statement (2) to write: 52(1/4) y the answer here is dependent on y, a different combinations of the variable y will give different results.

• Question 213:

  There are X dogs in the dog hound, each dog eats Y Kg of food every day. What percent of the total food weight does each dog eat?

  (1)

  If there were 3 dogs less then each dog could eat 1.2 Kg more than he is does now.

  (2)

  If there were half the dogs, each dog could eat 3 Kg more than he is does now.

  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

  In order to know the answer we need two equations:

  From statement (1) we can write: XY = (X -3)(Y + 1.2).

  From statement (2) we can write: XY = (X/2)(Y + 3).

  You don't need to solve the equations, the answer is C, both equations are needed to solve the question.

• Question 214:

  What is the value of (X2 + Y2)?

  (1)

  (X -Y)2 = 36.

  (2)

  (X + Y)2 = 48.

  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 X2 -2XY +Y2 = 36.

  Statement (2) can be written as X2 + 2XY +Y2 = 48.

  Adding both equations will give: 2X2 + 2Y2 = 84 X2 + Y2 = 42. Therefore, both statements are needed in

  order to solve the question.

• Question 215:

  If X and Y are positive integers, what is the ratio between Y and X?

  (1)

  XY = 150.

  (2)

  Y is 22% 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: B

  The question actually asks what is Y/X or X/Y.

  Statement (1) is not sufficient because from the product of the two variables we can't make out the ratio.

  Statement (2) is sufficient by itself, Y = 22X/100 Y/X = 11/50.

• Question 216:

  Is the largest of 7 consecutive numbers odd?

  (1)

  The product of the seven numbers is zero.

  (2)

  The sum of the seven numbers is zero.

  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 learn that there is a 0 among the seven numbers, yet the largest number can be odd or even. (0, 1, 2, 3, 4, 5, 6)or (-1, 0, 1, 2, 3, 4, 5). From statement (2) we know that the numbers are located symmetrically around the zero, therefore the largest number is even.

• Question 217:

  Zigfield bought his car using M% of his bank savings. He also bought a house that costs 4 times the price of the car. What is the price of the house?

  (1)

  M = 12.

  (2)

  The price of the car and the house was $140,000.

  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

  With statement (1) we know that the car cost 12% of his life savings. From statement (2) we know that $140,000 is the price of both the car and the house. Use simple ratio to find what is the cost of the house.

• Question 218:

  If X, Y and Z are positive integers, is X greater than Z -Y?

  (1)

  X – Z – Y > 0.

  (2)

  Z2 = X2 + Y2.

  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

  From statement (1) we learn that X > Z + Y therefore X must be bigger than Z-Y (positive integers). From statement (2) we learn that X2 = Z2 -Y2 and that tells us nothing relevant.

• Question 219:

  A, B, C and D are four consecutive points on a straight line. What is the distance between A to D?

  (1)

  AC = 6.

  (2)

  BD = 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: E

  First, draw the line with the points marked.

  We know AC and BD but it's not sufficient to know the length of AD. If the question said the points are

  evenly spaced than the answer would be solvable.

• Question 220:

  What is the average height of X buildings, each with height P meters, and 4X buildings each with height P/2?

  (1)

  X = 5, P = 35.

  (2)

  P = 40.

  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

  Of course, statement (1) gives of the values of all the parameters, but the value of X is unnecessary. (XP +2XP)/5X is equivalent to3P/5. Statement (2) also gives us the answer.