Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 291:

  5 numbers are randomly chosen. If their average is 20, how many of the numbers are larger than 15?

  (1)

  One of the numbers is 15.

  (2)

  The average of three of the numbers is 15.

  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

  Explanation: Let's look at two cases, where each one will give out different results. One of the numbers is 15 and three more are 15, 15 and 15 (with an average of 15). The sum of all the numbers should be (20 x 5 = 100). The sum of the numbers we picked up is (15 x 4 = 60) and therefore the last number should be 40 which is greater than 15. The answer in this case is 1. Take another case: One of the numbers is 15 and three more are 14, 15 and 16 (with an average of 15). In this case there will be 2 numbers over 15. More data is required.

• Question 292:

  If A = 2B, is A4 > B4?

  (1)

  A2 = 4B2.

  (2)

  2A + B < A/2 + B.

  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

  Explanation: Statement (1) is insufficient. Take A=0 and B=0, (1) is correct yet A4 is not bigger than B4. Take different numbers, A=6 and B=12 A4 is larger than B4. Statement (2) is sufficient. The only possible way that A will not be larger than B is if they are both zero. (2) Claims that A < 0 and therefore A cannot be zero and this statement is sufficient, A4 is bigger than B4.

• Question 293:

  Does the product of XYZW = 16?

  (1)

  Y = 1.

  (2)

  X = 4Y and ZW = 4Y2

  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

  Explanation: From (1) we know the value of Y only, which is 1. From (2) and (1) we know the value of all

  the other parameters, X = 4 and ZW = 4.

  Therefore, (1) and (2) together are sufficient.

• Question 294:

  A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer bought 10 cans and the owner decided to give that customer a special discount on the last two cans, what was the price of the two discounted cans?

  (1)

  The customer paid four dollars and twenty cents total for the ten cans.

  (2)

  The customer bought the ten cans for an average price of 42 cents per can.

  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

  Explanation: Statement (1) tells us that 10 cans cost 4.2 dollars instead of 5 dollars and therefore the last two cans were sold for 20 cents. This statement is sufficient. Statement (2) also tells us that the entire amount of cans cost 4.2 and therefore this statement is also sufficient.

• Question 295:

  How many of the girls in a group of 200 children have an average score of 80 in their final exams?

  (1)

  45% of the children have an average score of 80 in their final exams.

  (2)

  50% of the children in the group are girls.

  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

  Explanation: From (1) by itself we can only learn that 90 kids have good grades. This statement is insufficient. From (2) we can learn that there are 100 girls in the group. Combining the statements doesn't help much since we know nothing about the overlapping of (1) and (2) and more data is required. The correct answer is E.

• Question 296:

  What is the circumference of circle O?

  (1)

  The circle inscribes a square.

  (2)

  The perimeter of the square is 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: C

  Explanation: If a circle inscribers a square then the diagonal of the square is the diameter of the circle,

  which is sufficient to find the perimeter.

  Statement (1) tells us about the square that is inscribed with out any further data. Statement (2) gives us

  the perimeter, which is equal to 4 times the side of the square. If we know the side of the square, we know

  its diagonal.

  Both statements, taken together, are sufficient.

• Question 297:

  Is X > Y?

  (1)

  12X = 4C.

  (2)

  C = 3Y4.

  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

  Explanation: Since we need to compare between X and Y, look at both statements together.

  (1) and (2) state that: 12X = 4C = 12Y4 X = Y4.

  Take Y=-1, X=1: X is bigger than Y.

  Take X=1 and Y=1: X is not bigger than Y.

  We can see that the answer is not distinct and therefore more data is required in order to solve the

• Question 298:

  A spaceship in orbit rotates around the planet Pluto. How many full rotations can the spaceship complete in 20 hours.

  (1)

  The radius of the rotation is 21,000 miles.

  (2)

  The spaceship travels at 35 miles per second.

  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

  In order to calculate the time it would take to complete one rotation, you need the radius and the velocity. Statement (1) provides the radius of rotation and (2) provides the velocity. The distance the spaceship has to travel in order to complete one rotation is and the speed is 35 miles per second. Divide the first by the second and you'll get the time it would take the spaceship to complete one rotation.

• Question 299:

  X, Y>0, If X3 = Y, is Y a fraction?

  (1)

  X2 is a fraction.

  (2)

  X > 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: D

  Statement (1) is sufficient. If X2 is a fraction, X must also be a fraction. Meaning that X3 and Y will also be

  fractions.

  Statement (2) is sufficient. If X3 is a fraction then X must be greater than X3, which is also equal to Y. We

  get that from X > Y, so X3 and Y are fractions.

  The correct answer is D.

• Question 300:

  If Q and T are integers, what is the value of Q?

  (1)

  Q = 2T/7.

  (2)

  T+7/2 =7(Q+2)/4

  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

  Explanation: We want to find the number value of Q.

  In statement (1) we are given the ratio between Q and T, which is not sufficient.

  Statement (2) can be simplified:

  T+7/2 = 7(Q+2)/4 T+7 = 7Q+14/2 T+7 = 7Q/2 +7 T = 7Q/2 We can see that the same ratio is given in

  statement (2) also and more data is required to answer the question. Both statements give the same

  information. The correct answer is E.