Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 371:

  An ant walks an average of 500 meters in 12 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?

  A. 2.215.

  B. 2.5.

  C. 2.775.

  D. 3.2.

  E. 3.5.

  Correct Answer: A

  A beetle moves (0.85 x 500 = 425 meters) in 12 minutes that is equal to 0.425 Km in 1/5 of an hour. The speed in the right units is 0.425 x 5 = 2.125 Km/h.

• Question 372:

  In jar A there are 3 white balls and 2 green ones, in jar B there is one white ball and three green ones. A jar is randomly picked, what is the probability of picking up a white ball out of jar A?

  A. 2/5.

  B. 3/5.

  C. 3/10.

  D. 3/4

  E. 2/3.

  Correct Answer: C

  The probability of picking the first jar is the probability of picking up a white ball out of jar A Is 3/(3+2) = 3/5. The probability of both events is 1/2 x 3/5 = 3/10.

• Question 373:

  The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

  A. 1/(XY).

  B. X/Y.

  C. Y/X.

  D. 1/(X+Y).

  E. 1/(X-Y).

  Correct Answer: B

  Let Z be the probability of breaking the jar, therefore the probability of both events happening is Z x (1/X) = (1/Y). Z = X/Y.

• Question 374:

  How many 3-digit numbers satisfy the following conditions: The first digit is different from zero and the other digits are all different from each other?

  A. 648.

  B. 504.

  C. 576.

  D. 810.

  E. 672.

  Correct Answer: C

  For the first digit you have 9 options (from 1 to 9 with out 0), for the second number you have 9 options as well (0 to 9 minus the first digit that was already used) and for the third digit you have 8 options left. So the number of possibilities is 9 x 9 x 8 = 648.

• Question 375:

  Barbara has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn't wear 2 specific shirts with 3 specific pants?

  A. 41.

  B. 66.

  C. 36.

  D. 70.

  E. 56.

  Correct Answer: D

  There are (8 x 9) 72 possibilities of shirts + pants. (2 x 3) 6 Of the combinations are not allowed. Therefore, only (72 -6) 66 combinations are possible.

• Question 376:

  Three people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe?

  A. 2.

  B. 4.

  C. 6.

  D. 8.

  E. 10.

  Correct Answer: B

  Treat the two who must sit together as one person. You have two possible sitting arrangements. Then remember that the two that sit together can switch places. So you have two times two arrangements and a total of four.

• Question 377:

  In how many combinations can we choose 2 students out of 10 if each student is needed to fill a different roll in the student's council?

  A. 110.

  B. 45.

  C. 55.

  D. 90.

  E. 100.

  Correct Answer: C

  For the first roll there are 10 free students, for the second roll there are only 9 left. Therefore we have (10 x 9) 90 combinations total.

• Question 378:

  The grade point average of the entire class is 90. If the average of one third of the class is 96, what is the average of the rest?

  A. 92.

  B. 88.

  C. 89.

  D. 86.

  E. 87.

  Correct Answer: B

  Choose a representative number of students, 3 for example. Use the average formula: (96 + 2X)/3 = 90 --> 2X = 174 --->X = 87.

• Question 379:

  In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?

  A. 168.

  B. 16.

  C. 80.

  D. 48.

  E. 56.

  Correct Answer: C

  You must multiply your options to every item. (2 shelves) x (4 beds) x (3 closets + 7 chairs) = 80 possibilities.

• Question 380:

  A baker sold all of his donuts for a total amount of 216 pounds. If on each donut the baker made a profit of 8% of the cost, how much did it cost the baker to make all the donuts?

  A. 210.

  B. 200.

  C. 190.

  D. 180.

  E. 170.

  Correct Answer: B

  If on each donut he made a profit of 8% than he made the same profit on all of his donuts. That means that 216 pounds are 108% of the cost, and 100% is 200 pounds.