GMAT GMAT SECTION 2: QUANTITATIVE Exam (page: 5)
GMAT Section 2: Quantitative
Updated on: 25-Dec-2025

A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and immediately returning every hat to the drawer before taking out the next?

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

Answer(s): C

Explanation:

Getting three red out of 4 that are taken out has 4 options (4! / (3!*1!)) each option has a probability of (1/2)4 since drawing a red or blue has a 50% chance. 4*1/16= 1/4 to get three red hats. The same goes for three blue hats so 1/4+1/4 =1/2. The correct answer is C.



If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)?

  1. 9.
  2. 12.
  3. 15.
  4. 16.
  5. 18.

Answer(s): C

Explanation:

(2X + Y) (2Z + W) = 4XZ + 2XW + 2ZY + WY.
Now, plug in this data to get: 3 + 2 x 6 = 15.
The correct answer is C.



X is an even number and Y is a positive odd number. Which of the following expressions cannot be even?

  1. (XY) Y
  2. X3Y3
  3. X3
  4. XY
  5. Y2

Answer(s): E

Explanation:

The fastest way to solve this problem is by plugging in some numbers. Let’s say: X = 2, Y = 1.
According to answer e: 1 x 1 = 1 and that must be an odd number. The correct answer is E.



How much interest will $2,400 earn at an annual rate of 8% in one year if the interest is compounded every 4 months?

  1. $141
  2. $150
  3. $197
  4. $234
  5. $312

Answer(s): C

Explanation:

Here, it is enough to calculate the simple interest of 8% per year.
$2,400 x 8/100 x 1 = $192. Since we are calculating as a compounded rate, the interest should be a bit higher or C as the correct answer.



X is a prime number bigger than 10. Also, Y = X+X3+X5+X7. What is definitely true about Y?

  1. Y is a prime number.
  2. Y is odd.
  3. Y is even.
  4. Y is divisible by 3.
  5. Y is divisible by 7.

Answer(s): C

Explanation:

Because X is a prime number bigger than 10, it must be odd. Ignoring the powers of X in the expression of Y, you’ll see that Y is a sum of 4 odd numbers therefore it must be even. The correct answer is C.



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