QUESTION: 21

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?

1/8
1/4
1/2
3/8
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.

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QUESTION: 22

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

9.
12.
15.
16.
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.

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QUESTION: 23

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

(XY) Y
X3Y3
X3
XY
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.

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QUESTION: 24

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

$141
$150
$197
$234
$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.

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QUESTION: 21

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QUESTION: 22

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QUESTION: 23

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QUESTION: 24

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