Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 261:

  If x and y are consecutive even integers, what is the value of xy?

  (1)

  x + y = 98

  (2)

  y -x = 2

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: A

  Since x and y are consecutive even integers, they are numbers such as 10 and 12 or 32 and 34. Using statement (1), the only two numbers that would satisfy the equation are 48 and 50. Statement (1) is sufficient. Statement (2) just restates the obvious; every two consecutive even integers are two numbers apart. This does not help you solve the problem.

• Question 262:

  What is the value of x?

  (1)

  22 < 3x + 1 < 28

  (2)

  x is an integer.

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: C

  Solve the compound inequality in statement (1). 22 < 3x + 1 < 28. Subtract 1 from each part of the

  

  The result is that x is some number between 7 and 9; thus, statement (1) is not sufficient. Statement (2), together with statement (1), is sufficient, and the answer is conclusively one value--namely, 8.

• Question 263:

  Which store has a greater discount, store A or store B?

  (1)

  Store B has 20% off all items.

  (2)

  Store A has $20 off all items.

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: E

  Both statements are irrelevant because you do not know the cost of any of the items at either store.

• Question 264:

  Is x + 1 a factor of 12?

  (1)

  x + 1 is even.

  (2)

  x + 1 is a factor of both 2 and 3.

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: B

  Statement (1) could mean that x + 1 = 8, which is not a factor of 12. If x + 1 is a factor of both 2 and 3, then x = 0 and x + 1 = 1. One is a factor of every number. Statement (2) will suffice by itself.

• Question 265:

  In the following figure, p || n. Is x supplementary to y?

  

  (1)

  l p

  (2)

  l || m

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: B

  The fact that l is perpendicular to p indicates that angle x is a right angle, but it tells you nothing about angle y. The fact that l is parallel to m in statement (2) is much more useful. Since p is parallel to n, you can use corresponding angles to figure out that y is equal to the angle adjacent to x. Therefore, x and y are supplementary.

• Question 266:

  Points A, B, and C are located in the same plane. What is the distance between point A and point C?

  (1)

  The distance between A and B is 100 cm.

  (2)

  The distance between A and B is twice the distance between B and C.

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: E

  Even though the points are in the same plane, you are not sure if A, B, and C are collinear (contained on the same straight line), or even if B is between A and C. Not enough information is given in either statement.

• Question 267:

  Given that C is the center of the circle and

  

  passes through C, what is the area of the sector of the circle?

  

  (1)

  The diameter of the circle is 12.

  (2)

  m C = 30?

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: C

  

  To find the area of the sector, use the formula

  where x

  necessary to find the length of the radius. Statement (1) and statement (2) together are sufficient.

• Question 268:

  Is xy > 0?

  (1)

  x > 1

  (2)

  y < 0

  A.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  B.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  Correct Answer: C

  Statement (1) and statement (2) together are sufficient. To have a product greater than zero, either x and y are both positive or both negative. You need both statements to be able to tell. The fact that x > 1 lets you know that x is positive, and since y < 0, y is negative.

• Question 269:

  It takes Joe and Ted four hours to paint a room when they work together. How long does it take Joe working by himself to paint the same room?

  (1)

  The dimensions of the room are 12' by 12' by 8'.

  (2)

  It takes Ted seven hours to paint the room by himself.

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: B

  The dimensions of the room are not significant and will not help you solve the problem. Statement (2) tells how long it takes Ted to paint the room alone. Using this information, you can set up the

  

  . In this equation, x is the time it takes Joe to paint the room,

  

  is the part of the room Joe can paint in one hour,

  

  is the part of the room Ted can paint in one hour, and

  is the part of the room they can paint together in one hour. Stop. You have an equation that can be solved, but you do not need to solve it. Statement (2) is sufficient.

• Question 270:

  What is the value of x?

  

  (1)

  mACB = 30

  (2)

  mA + B = 150

  A.

  Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

  B.

  Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

  C.

  The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

  D.

  The problem can be solved using EITHER statement (1) only or statement (2) only.

  E.

  The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

  Correct Answer: D

  In this problem, either statement is sufficient. Angle ACB is supplementary to x, so 180 ?30 = 150 degrees. Statement (2) says that the sum of the two remote interior angle equal 150 degrees; this is equal to the exterior angle, x. Note that the diagram is not drawn to scale so you should not rely on the diagram to calculate the answer.