Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 331:

  Brian got in his latest test a grade 3 times higher that he anticipated. In spite of that, he decided to appeal. After the appeal he got 30 points lower than the original grade but still the grade was 30 points higher than his anticipation. What was the grade Brian anticipated?

  A. 15.

  B. 20.

  C. 30.

  D. 25.

  E. 35.

  Correct Answer: C

  The grade Brian anticipated is x. The grade that he really got was 3x. After the appeal he got 3x ?30 that was still x +30. Therefore x = 30.

• Question 332:

  Jason washes 3 plates after each and every diner. After how many dinners will Jason wash the 26th plate?

  A. 10.

  B. 9.

  C. 8.

  D. 7.

  E. 6.

  Correct Answer: B

  Only after he finishes each dinner he washes three plates. So after his 8'Th dinner he'll finish the 24'Th plate and only after the 9'Th dinner he'll wash plate's number 25, 26 and 27.

• Question 333:

  Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 9 from the product of their ages a year from today. What is their age today?

  A. 7.

  B. 2.

  C. 9.

  D. 4.

  E. 5.

  Correct Answer: D

  Back solve using the answers. Take the age 4.

  4 x 4 = 16. 16 + 9 = 25. And in one year they'll be 5 so 5 x 5 = 25.

• Question 334:

  The number of hats that Sarah owns is 5 times bigger than the number Nicky owns. If Sarah gives 6 hats to Nicky, they will have the same number of hats. How many hats does Sharon own now?

  A. 5.

  B. 2.

  C. 3.

  D. 4.

  E. 6.

  Correct Answer: C

  Let X be the number of hats that Nicky owns, Sarah owns 5X. 5X ?6 = X + 6 X = 3.

• Question 335:

  A carousel spins at a rate of ?a round per second. If a point on its circumference is located 0.5 meters from the center of rotation, how many times approximately will this point reach its starting point in two minutes?

  A. 25.

  B. 30.

  C. 60.

  D. 120.

  E. 180.

  Correct Answer: C

  If the carousel spins half a turn in one second then it spins once every two seconds. In two minutes there are 120 seconds and therefore the point will reach its starting point (120 / 2 = 60) times, no matter how far it is from the center of the circle.

• Question 336:

  There are 7 players in a bowling team with an average weight of 85 Kg. If two new players join the team,

  one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?

  A. 75 Kg.

  B. 80 Kg.

  C. 85 Kg.

  D. 90 Kg.

  E. 92 Kg.

  Correct Answer: C

  The trick to this question is to notice that the average weight of the two new players is exactly 85 Kg and so when they join the team, the average weight stays the same.

• Question 337:

  How many of the positive divisors of 120 are also multiples of 4 not including 120?

  A. 3.

  B. 4.

  C. 5.

  D. 7.

  E. 8.

  Correct Answer: D

  Write down all the factors of 120: 60, 40, 30, 24, 20, 15, 12, 10, 8, 6, 5, 4, 3, 2, and 1. Among these numbers only the following are multiples of 4: 4, 8, 12, 20, 24, 40 and 60.

• Question 338:

  What is the sum of squares of the first two positive odd integers if the sum of squares of the first two positive even integers is X?

  A. X.

  B. X/3.

  C. X/2.

  D. X/6.

  E. 3X/4.

  Correct Answer: C

  The squares of the first two odd numbers are: 12 + 32 = 10. The squares of the first two even numbers are: 22 + 42 = 20.

• Question 339:

  If Z is a positive integer and (192)5 is a multiple of 8Z, what is the largest possible value of Z?

  A. 5.

  B. 7.

  C. 8.

  D. 10.

  E. 12.

  Correct Answer: D

  Factorize (192)5 and see what can be the largest value of Z. 192 = 64 x 3 = 8 x 8 x 3 ---> (192)5 = (8 x 8 x 3)5 = 35 x 810. The largest possible value of 8Z which is a factor of (192)5 is the largest possible value of Z of which 8Z is a factor of 810. Z = 10.

• Question 340:

  Which of the following is the greatest possible common divisor of two different positive integers, both smaller than 124?

  A. 123.

  B. 122.

  C. 63.

  D. 62.

  E. 61.

  Correct Answer: E

  A divisor is actually a factor of a number.

  Check each of the answers individually:

  124 is divisor of itself, but obviously he has no other divisors smaller than 124. 63 is a divisor of itself and

  126, which is bigger than 124. 62 is on the limit, we were asked for divisors less than 124. This is the right

  answer. 61 is a divisor of 61 and 122.