Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 99)

Page 99 of 182

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

  1. 23.
  2. 46.
  3. 16.
  4. 11.5.
  5. 15.

Answer(s): B

Explanation:

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.



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

  1. 5.
  2. 7.
  3. 8.
  4. 10.
  5. 12.

Answer(s): D

Explanation:

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.



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

  1. 123.
  2. 122.
  3. 63.
  4. 62.
  5. 61.

Answer(s): E

Explanation:

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.



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

  1. 3.
  2. 4.
  3. 5.
  4. 7.
  5. 8.

Answer(s): D

Explanation:

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.



Page 99 of 182



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