Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 161:

  A long rope was divided to three different parts. What is the length of the smallest piece?

  (1)

  The sum of the two smaller pieces is 14 inch.

  (2)

  The sum of the two larger pieces is 22 inch.

  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

  Translate the statements into variables: Let X, Y and Z be the thee pieces of the rope, X

  Statement (1) can be written as: X + Y = 14.

  Statement (2) can be written as: Y + Z = 22.

  In order to find the length of the smallest piece, we need another equation or data. More data is required.

• Question 162:

  What is the value of (Q + W)?

  (1)

  W = 3R.

  (2)

  Q = -3R.

  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

  Combine both statements to get, W + Q = 3R -3R = 0.

  In other words the statements tell us that W = (-Q) or the opposite.

• Question 163:

  What is the value of X + Y?

  (1)

  X = 3Z.

  (2)

  Y = 8Z.

  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

  According to the statements, the value of X + Y is 3Z + 8Z = 11Z, but we don't know what's the value of Z. In other words, more sufficient data is required to answer the question.

• Question 164:

  How long will it take Jimmy to organize his stamp collection?

  (1)

  Jimmy can organize 45 stamps in 2 hours.

  (2)

  In the collection there are 30 regular stamps and 90 special ones.

  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

  Both statement combined are sufficient.

  Statement (1) tells us that what is the "output" of organizing stamps and statement (2) tells us how many

  apples are there in the collection. Pay attention, it doesn't matter if the stamps are regular or special ones

  because statement (1) states that (any) 45 stamps can be arranged in 2 hours.

• Question 165:

  How many patients can a group of dermatologists diagnose in one day?

  (1)

  Two dermatologists can diagnose 3 patients in 1.5 hours.

  (2)

  Dermatologists work for 8 hours a day.

  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 are not sufficient, you don't know what the size of the group of dermatologists is; it can be 3 doctors or even 45. Therefore more sufficient data is required.

• Question 166:

  How long will it take 5 chambermaids to arrange the beds of the entire hotel?

  (1)

  There are 4 floors in the hotel.

  (2)

  Each floor contains 6 rooms.

  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

  In order to answer the question, we need to know how many beds are there in the hotel. Both statements,

  taken together, don't supply that kind of information.

  Therefore more sufficient data is required.

• Question 167:

  How many diamond rings can a goldsmith refine in two weeks?

  (1)

  There are 4 diamonds in each ring.

  (2)

  One goldsmith can refine 2 diamonds in 4 hours.

  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

  Both statements combined are sufficient to answer the question. Statement (1) tells us how many diamonds are there in one ring. Statement (2) tells us how much time is needed to complete one ring; therefore both data's are sufficient to answer the question.

• Question 168:

  What is the new price for a pound of persimmon?

  (1)

  The old price is 45 cents per pound.

  (2)

  The new price is more than half of the old price.

  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 need to find the exact price of the persimmon.

  If the old price is 45 cents and the new price is more than half of the old price than the exact price of the

  new persimmon is not an exact price but a price bigger than 22.5 cents. There isn't enough sufficient data

  to solve the question.

• Question 169:

  How many days would it take two carpenters, working together, to build 5 desks?

  (1)

  Each carpenter can build 4 desks in two days.

  (2)

  Two carpenters, working together, work twice as fast as one carpenter working alone.

  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

  In order to solve the question, we need to know the output of one carpenter. From statement (1) we can learn that one carpenter has a certain output, and using the output formula we can calculate the desired time. Statement (2) is not useful; it tells us something that we can already assume by ourselves. Therefore the answer is A.

• Question 170:

  By what percent did the price of a pound of plum increase?

  (1)

  Each pound of plum costs 28 cents more.

  (2)

  The original price per pound was 52 cents.

  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

  By using both statements together we know what was the original price and by how much it increased. Each statement alone is not sufficient, but the combination of the two is sufficient. Remember, you don't have to solve the problem; you only need to make sure you can.