Admission Test Admission Test Certification GMAT-QUANTITIVE Questions & Answers

• Question 51:

  Merline made a $360,000 mortgage on a house. How much interest total will she pay?

  (1)

  The simple interest rate is 8.5% annually.

  (2)

  It will take Merline 12 years to return the loan on the house.

  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) implies that the annual interest is 8.5%. it is not sufficient by itself since we do not have the

  time period of the return.

  Statement (2) implies that 12 years have passed until Merline paid the loan but we do not have the interest

  rate.

  During the 12 years, we can calculate the interest every year until we reach 12 years. Both statements

  together are sufficient.

  A simple interest can be calculated using the following formula:

  Principle (money loaned or invested)*rate (percent) *time = interest paid

• Question 52:

  What is the amount of interest paid on an X dollars loan over a 6 months period?

  (1)

  X = 12,000.

  (2)

  The interest rate is 5%.

  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) gives out the amount of money loaned.

  Statement (2) gives the interest with out mentioning during what time is the interest 5%. Both statements

  are insufficient since we cannot determine what the interest on $12,000 is during a 6 months period. The

  interest could be monthly or annually or anything else.

• Question 53:

  How many keys are found on an average keyboard?

  (1)

  There are 20 number keys on an average keyboard.

  (2)

  20% of the keys on the keyboard are number keys.

  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 number of number keys only and thus is insufficient. Statement (2) alone is insufficient because it relates to the number stated in statement (1). Both statements together are sufficient since we are told that 20 buttons is 20% of the total and therefore there are 100 buttons on the average keyboard.

• Question 54:

  How many mini sports cars does little Timmy own?

  (1)

  Timmy has 10 red sports cars.

  (2)

  The number of blue sports cars is 50% larger than the number of red sports cars.

  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) gives us the number of red cars and (2) the number of blue cars. We are not told that there are only two colors of sports cars and therefore more data is required.

• Question 55:

  If A and B are two different integers, is A/B even?

  (1)

  A is prime.

  (2)

  B is prime.

  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

  Each statement alone is insufficient since each statement refers to one variable only. (1) and (2) together are sufficient since dividing any two different primes will never result in an integer. A prime is a number that has exactly two natural divisors, 1, and itself and is therefore not divisible by any other integer.

• Question 56:

  If X is a prime number, is Y even.

  (1)

  X = Y + 1.

  (2)

  X = 5.

  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) is insufficient by itself since X can be even (2) or odd (3). Statement (2) is insufficient since we don't know the relation between X and Y. Both statements together are sufficient since we know that X is odd and that Y is an odd number plus one, meaning an even number.

• Question 57:

  Is Y/X odd?

  (1)

  Y is a prime number.

  (2)

  X is a prime 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: E

  Each statement alone is insufficient since it tells us nothing of the other variable. (1) and (2) together are trick. If you take X=Y=5 or any other prime number the result of Y/X will be odd but if you take X=5 and Y=7 for instance the result wouldn't even be an integer. The answer cannot be determined and more data is required.

• Question 58:

  What is the total number of students that will finish their first degree this year at the Will hunt University?

  (1)

  The number of male students that will finish their first degree ten less than three-fifths of number of female students.

  (2)

  The number of male students is 360.

  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 m = males and f = females.

  From Statement (1) you know that m = 3/5f - 10, but you don't know the actual values of m and f. From

  Statement (2) you know m, which can be fed into the equation derived from statement (1). These two

  equations with two variables are sufficient and therefore both statements, taken together, are sufficient.

• Question 59:

  The net value of a certain stock increased at a constant rate during the ten-year period between 1990 and 2000. What was the value of the stock in the year 1998?

  (1)

  In 1991, the value of the stock was 130 U.S dollars.

  (2)

  In 1992, the value of the stock was 149.5 U.S dollars.

  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

  We are told that the stock increases its value by a constant rate and therefore we need to find some kind of pattern in order to know the value every year. Statements (1) and (2) taken together are sufficient since they give us the percent increase of the stock from 1991 to 1992, which is 15%. The value of the stock in 1998 can be easily calculated, add 15% every year until 1998.

• Question 60:

  What is the distance that Cynthia has to travel in order to get from the university to the dorms?

  (1)

  Cynthia can walk half the distance in 7 minutes when walking at her fastest possible rate.

  (2)

  Cynthia is walking at an average speed of 1 mile in 12 minutes.

  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) is insufficient since it only gives the time period of reaching the half point at the maximum speed. Statement (2) is also insufficient by itself since we are only told the average speed. Both statements, taken together, are insufficient since the average speed, mentioned in (2) might be different than Cynthia's fastest possible rate.