Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 341:

  Gina and Tina's average grade is 23 points higher than Tina's grade. What is the difference between their grades?

  A. 23.

  B. 46.

  C. 16.

  D. 11.5.

  E. 15.

  Correct Answer: B

  Define T as Tina's grade and G as Gina's grade.

  Write the equation, T + 23 = (G + T)/2 2T + 46 = G + T T + 46 = G G -T = 46.

• Question 342:

  A and B are numbers between 1 and 9. If A = 4B than by what number is the two digit number BA not divisible?

  A. 1

  B. 2

  C. 7

  D. 14

  E. 3

  Correct Answer: C

  You have two choices: 1) 4 = 4 x 1 2) 8 = 4 x 2.

  In the first choice, (BA = 14) can be divided by all the numbers except 3. In the second choice, (BA = 28)

  can be divided by all the numbers except 3. Therefore, E is the answer.

• Question 343:

  If X percent of 2.5X are 3X, then X could be?

  A. 90.

  B. 120.

  C. 150.

  D. 170.

  E. 180.

  Correct Answer: B

  X percent is X/100.

  X percent of 2.5X is (X/100)(2.5X) = (X/100)(5X/2) = 3X divide both sides by X.

  (X/40) = 3 ---> X = 120.

• Question 344:

  The grade point average of one third of the classroom is 69; the grade point average of the rest is 60. What is the grade point average of the whole class?

  A. 61.

  B. 63.

  C. 65.

  D. 67.

  E. It depends how many people are there in the class.

  Correct Answer: B

  Because the number of people in the classroom is unknown, take 3. One person has 69 and the rest have

  60. Their sum is 189. 189/3 students is 63.

• Question 345:

  In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?

  A. 50.

  B. 45.

  C. 30.

  D. 40.

  E. 25.

  Correct Answer: A

  The total number of girls in the camp is (0.1 x 50 = 5). In order for 5 girls to be 5% there has to be a total number of 100 kids in the camp therefore the camp's administrator should bring 50 more boys.

• Question 346:

  There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?

  A. 181.

  B. 172.2.

  C. 172.

  D. 168.

  E. 184.

  Correct Answer: C

  The new player is (192 -170 = 22 cm) above average. Dividing the extra height among 11 players is 2 cm per player, thus the new average height is (170 + 2 = 172 cm).

• Question 347:

  The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?

  A. 75.

  B. 85.

  C. 90.

  D. 100.

  E. 94.

  Correct Answer: B

  The length of all six snakes is 6 x 80 = 480 cm.

  Third of the snakes are by average 70 cm long therefore their sum is 140. The sum of the length for the

  remainder of the snakes is 480 ?140 = 340.

  340 / 4 snakes is 85 cm.

• Question 348:

  The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?

  A. 1/8.

  B. 1/6.

  C. 1/3.

  D. 1/5.

  E. 1/4.

  Correct Answer: E

  The gender of the first-born is insignificant since we want all children to be of the same gender no matter if they are all boys or girls.

  The probability for the second child to be of the same gender as the first is: ½. The same probability goes for the third child. Therefore the answer is ½ x ½ = ¼.

• Question 349:

  On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 2?

  A. 1/8.

  B. 1/2.

  C. 1/5.

  D. 3/8.

  E. 1/3.

  Correct Answer: D

  The coin is tossed three times therefore there are 8 possible outcomes (2 x 2 x 2). We are interested only

  in the three following outcomes:

  (0,1,1), (1,0,1), (1,1,0).

  The probability requested is 3/8.

• Question 350:

  Two dice are rolled. What is the probability the sum will be greater than 10?

  A. 1/9.

  B. 1/12.

  C. 5/36.

  D. 1/6.

  E. 1/5.

  Correct Answer: B

  When rolling two dice, there are 36 possible pairs of results (6 x 6). A sum greater than 10 can only be

  achieved with the following combinations: (6,6), (5,6), (6,5).

  Therefore the probability is 3/36 = 1/12.