Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 21:

  The water level in lake Victoria increased over the last week. By what percent did the level of water increase?

  -There were 45 million liters of water in the lake last week.

  -

  Water is constantly being purred into the lake at a rate of 2 million litters a day from a nearby stream.

  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 are to find the increase of the water in percent terms. Statement (1) gives us the exact amount of water that was in the lake last week. Statement (2) holds no data regarding water leaving the lake or other water being pured in.

• Question 22:

  Is the triangle ABC equilateral?

  -Angle A is half the sum of angles B and C.

  -

  AC is equal to AB.

  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

  Let angle A be X. The sum of the angles in triangle is equal to 180 degrees. From statement (1) we can write: X + 2X = 180 ---> X = 60. The sum of the two other angles is equal to 120, but they're not necessarily equal and therefore this statement is not sufficient alone. Statement (2) alone is insufficient, unless the question asked if ABC is an isosceles triangle. Combine both statements; if one angle is equal to 60 and the triangle is isosceles then two of the angles must be equal to 60, the third must also be 60 and the triangle must be equilateral.

• Question 23:

  What is the sum of two angles in a triangle?

  -

  One of the angles is equal to the sum of the other two.

  -

  One of the sides is equal to the other.

  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

  Both statements together help us know that the triangle is isosceles. We are asked upon two arbitrary angles and so we cannot determine what is their sum. More data is required.

• Question 24:

  The number of employees at the justice department tripled between 1994 and 1996. How many employees were in the department in 1994?

  -The number of employees in 1996 is bigger by 12 than the number in 1994.

  -

  In 1995 the number of employees was 12.

  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

  Define X as the number of employees in the year 1994 and Y as the number of employees in 1996.

  From the question we can write that Y = 3X.

  Statement (1) tells us that Y = X + 12 and so we have two equations with two unknowns. This statement is

  sufficient by itself.

  Statement (2) adds an unnecessary parameter to the equation and therefore its insufficient.

• Question 25:

  Is the triangle ABC isosceles?

  -Angle A is equal to the sum of angles B and C.

  -

  Side AB is different from CB.

  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

  Draw a triangle.

  From statement (1) we can conclude that angle A is 90 degrees because it is equal to half of the degrees

  in the triangle, this statement is not sufficient since the triangle can still be a non isosceles right triangle.

  Statement (2) is also insufficient; all it tells us is that two sides are different from one another.

  More data is required.

• Question 26:

  Is 0 < Y < 1?

  -1/Y is positive.

  -

  Y > 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: B

  From statement (1) Y can be 2 or ?and therefore this statement is insufficient. Statement (2) tells us that Y > Y2. that is true only if Y is between zero and one. So, Statement (2) is sufficient.

• Question 27:

  If Y = 2X -10, what is the value of Z?

  -Z = Y + 2X.

  -

  X = Z -Y.

  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

  The question presents to us one equation with two unknowns and asks about evaluating a third.

  We need two more different equations.

  Statement (1) and statement (2) are both independent and so combining them is sufficient.

• Question 28:

  If Q = W + 22, what is the value of (Q + W)?

  -Q = -86 -W.

  -

  W = 2Q + 10.

  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 given an equation with two unknowns and we are asked upon the sum (Q+W). Statement (1) is

  sufficient by itself with out even using the data in the question, Q + W = -86. Statement (2) is also sufficient

  by itself, use the equation given in the question along with statement (2) to solve.

  Each of the statements is sufficient by itself.

• Question 29:

  If 90% of the people in Rich-Town read the Rich-Town magazin how many people read the Rich-Town news bulletin?

  -There are one thousand residents in Rich-Town.

  -

  10% of the people reading the Rich-Town magazin also read the Rich-Town news bulletin.

  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

  No statement here tells us that all people read any magazin at all, moreover no statement gives any data regarding the News bulletin readers that do not read the Ric-Town magazine. More data is needed to solve this question.

• Question 30:

  The perimeter of a rectangle is 136, what is the area of the rectangle?

  (1)

  The length is more than twice the width.

  (2)

  The length and width are both prime numbers larger than 30.

  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

  Define L as the length and W as the width. 2L + 2W = 136 ---> L + W = 68. We need one more equation in order to find the area. Statement (1) does not give you exact values and therefore it's not sufficient. Statement (2) tells us that both L and W are prime numbers larger than 30, using the equation in the question; the only option to get 68 is with 31 and

  37. This statement is sufficient; the area is 31 x 37.