Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 181:

  a, b and c are three odd and different integers. Which one is the median?

  (1)

  a, b and c are consecutive numbers.

  (2)

  c > a and b < c.

  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 can learn that if they are consecutive numbers, the median is B. From statement (2) we have a connection between c to a and b, but we don't know if a or b is the smallest among the three, therefore this statement, by itself, is not sufficient.

• Question 182:

  If a, b, c, d and e are distinct integers, which one is the median?

  (1)

  a < b -c.

  (2)

  d > e.

  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) tells us nothing about e and d, you can eliminate answers A. and (d). Statement (2) tells us nothing about a, b and c, you can eliminate answer B. . Try to plug in some numbers, take: a=3, b=7, c=1, d=9 and e=8. The median in that case is 7. Try other numbers, a=8, b=15, c=6, d=10 and e=9. The median is 9. First the median was b, then the median was e. More sufficient data is required to answer the question.

• Question 183:

  Mickey made an X dollars loan at the beginning of 1996. Travis, who is Mickey's little brother also made a loan, only twice as large as Mickey's but with the same interest. If Travis pays $10,000 interest on his loan each year, how big is Mickey's loan?

  (1)

  The rate of interest on the loan that Travis took is 6% annually.

  (2)

  The loan that Travis made was $166,667.

  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

  From statement (1) we know the rate of interest so we can find how much money Travis loaned and

  multiply it by 2 to get Mickey's loan.

  From statement (2) we know the amount Travis loaned, which is doubled than that of Mickey. Therefore,

  both statements, by themselves, are sufficient to answer the question.

• Question 184:

  At the end of the year 2002, Monica and Chandler each purchased a certificate of deposit that paid the same rate of interest, and each held the certificate of deposit through the end of 2002. If Chandler invested X dollars and Monica invested $130,000, and if Chandler earned interest in 2002 totaling $45,000, what was the amount of interest that Monica earned on her $130,000 investment?

  (1)

  The rate of interest on the certificate of deposit that Chandler and Monica each purchased was 8.5% annually.

  (2)

  In 2002, Chandler invested $529,412 in the certificate of deposit.

  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

  From statement (1) we know the rate of interest, so we can easily calculate how much Monica earned with

  her $130,000 deposit.

  From statement (2) we know how much Chandler invested and we already know from the question how

  much he earned, we can calculate the interest and multiply it by the deposit that Monica made.

  Therefore, both statements, by themselves, are sufficient to answer the question.

• Question 185:

  How many hamburgers did "Wacdonalds" sell last year?

  (1)

  Two years ago "Wacdonalds" sold 422,000,000 hamburgers.

  (2)

  The average amount of hamburgers sold by "Wacdonalds" each year is 5 million.

  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 data on the sales of two years ago. Statement (2) gives us data on the average amount of sales each year. We can't assume that the sales two years ago + last years sales divided by two is the average amount of sales, therefore more sufficient data is needed to answer the question.

• Question 186:

  What is the total amount of Jellybeans that Benjamin ate last week?

  (1)

  This week Benjamin ate 20% more Jellybeans than two weeks ago.

  (2)

  Two weeks ago Benjamin ate 65 Jellybeans.

  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 information about this week and two weeks ago, statement (2) also doesn't give us

  any sufficient data on last week, but on two weeks ago.

  Therefore, more sufficient data is required.

• Question 187:

  Did the owner of the garage sale made more than $130 last Saturday?

  (1)

  There were 15 products at the garage sale, each one cost $25.

  (2)

  All the products were sold.

  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) tells us how many products were in the sale and how much did each cost. Statement (2) tells

  us that all the products were sold, therefore the owner made 15 x $25 = $375.

  Both statements are required to answer the question.

• Question 188:

  A and B are integers, is (0.5)AB > 1 ?

  (1)

  A is positive integer and B is negative integer.

  (2)

  A and B are two consecutive numbers.

  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

  From statement (1) we know that one is positive and the other is negative, therefore their product is negative. (0.5)negative = a number bigger than 1. This statement is sufficient to answer the question. From statement (2) we know the answer also. This is a tricky part. Try all the options: (-2 and ?), (-1 and 0), (0 and 1), (1 and 2). All of these options give out AB that is positive or equal to zero, in both cases (0.5) AB will be either smaller than 1 or equal to 1 but never bigger. Therefore each statement by itself is sufficient.

• Question 189:

  If x and y are integers, is 3x(0.5)y < 1 ?

  (1)

  y = 2x.

  (2)

  x = 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: C

  Use statement (1) to write the expression: 3x(0.5)2x = (0.75)x the value of this expression can be either

  smaller or larger than 1, if x was only a positive integer the answer would be distinct. Use statement (2)

  alone to write the expression: 38(0.5)y this expression is either bigger or smaller than 1.

  Use both statements together: (0.75)8 < 1. Therefore both statements are needed to answer the question.

• Question 190:

  What is the value of (A -B)?

  (1)

  A = 8 -B.

  (2)

  A2 -B2 -64 = 0.

  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

  From statement (1) we know the value of A + B.

  From statement (2) we know the value of A2 -B2 = (A ?B)(A + B) (A -B)8 = 64 the answer is equal to 8,

  therefore both statements are needed on order to answer the question.