Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 201:

  If X and Y are positive integers, is X greater than Y?

  (1)

  X > 2.

  (2)

  Y < 3.

  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 learn that X is 3 or bigger and from statement (2) we learn that Y is 2 or smaller. Therefore both statements are sufficient to answer the question.

• Question 202:

  If X and Y are positive integers, is X greater than Y? (1) X > Y ?2.

  (2)

  X > 2.

  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

  Take some numbers for example.

  Y= 8 from statement (1) we know that X > 6 and from statement (2) we know that X >2, but X can be 7 or

  even 24 and he will still fit the equation properly, therefore both statements, taken together are not

  sufficient.

• Question 203:

  A, B and C are 3 consecutive points on an arc with a constant radius. What is the distance between A and C?

  (1)

  The radius of the arc is 25 Cm.

  (2)

  The length of AB is 5 Cm.

  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 know the distance between two points on an arc you need to know the angle that the points

  make and the radius of the arc.

  Statement (1) gives us the radius.

  Statement (2) gives us the length of AB, but the question didn't mention that there is equal spacing and

  therefore the length of BC can't be found with both of the statements taken together.

• Question 204:

  A, B, C, D and E are five consecutive points with equal spacing on a straight line. What is the distance between A to E?

  (1)

  AB = 3.

  (2)

  BE = 9.

  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

  First, draw the line with the points marked.

  Because the points are evenly spaced on the straight line, only one measurement is needed to answer the

• Question 205:

  Little Timmy spends half of his allowance on his favorite pet Din and the other half on candies. How much money did Timmy spend on Din?

  (1)

  Din eats 1.5Kg of food every day.

  (2)

  Timmy buys 110 gr. Of candies each day. One Kg of candies costs $7.5.

  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: B

  From the question we know the ratio of the money that Timmy is spending on Din and on candies. In order to know how much Timmy spends on each, we need to know one of the expanses in real Amount of money and not in percent terms. The first statement doesn't provide us any sufficient information but the second one gives us the exact amount of money that Timmy spends on Candies, which is equal to the amount that he spends on Din.

• Question 206:

  Gwen has to divide her money between her three sons. If the older brother received 65% of the total amount and the other two received the same amount of money, how much money did the median brother get?

  (1)

  The combined amount of money of the older brother and the small one is $45,000.

  (2)

  The older brother received $35,454.5.

  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: D

  The data gave us the ratio of the amounts each one got (65 : 17.5 : 17.5), therefore all we need is one number to know how much each of the brothers received. Each of the statements above gives us enough information to solve the problem.

• Question 207:

  What percent of 20 is Y?

  (1)

  50 percent of Y is 5.

  (2)

  Y percent of 200 is 20.

  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

  The question, in other words, is asking what is the value of (Y/20 x 100). So all we need to find out is the value of Y. Statement (1) gives us Y, it is equal to 10. Statement (2) is also sufficient, it also tells us that Y is equal to 10.

• Question 208:

  If Peter spends $460 on three pairs of shoes, how much did the least expansive shoes cost?

  (1)

  The ratio between the most expansive shoes to the least expansive shoes is 3 to 1.

  (2)

  The ratio between the least expansive shoes to all the other ones is 1 to 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: B

  We need to find what is the price of the least expansive among three shoes. Statement (1) gives us the ratio between the most expansive shoes and the least expansive one but that's not sufficient because we have no information about the middle priced shoes. Statement (2) is sufficient. If the ratio between the least expansive to all the shoes is 1 to 5 than we can calculate the price of the least expansive shoes, (460/6).

• Question 209:

  Is B3 B2?

  (1)

  B is an integer.

  (2)

  B is positive.

  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

  There are two cases in which the inequality will not be true, when B is a fraction or when B is negative. Statements (1) and (2) cover both of these cases and therefore both statements, taken together, are sufficient.

• Question 210:

  What is the value of

  

  ?

  (1)

  A+B=100.

  (2)

  

  =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

  Statement (1) is sufficient enough because all you need to do is divide both sides by to get the answer,

  (20).

  Statement (2) is also sufficient by it self, because all you need to do is to multiply both sides by 2 to get the

  correct answer.