GRE – Section 2: Test 4 – 24/7 Teach App

1. Question

This question has five answer choices. Select the best one of the answer choices given.

The average of P numbers is x, and the average of N numbers is y. What is the average of the combined set of P + N numbers?

1. x+y/2
2. x + y
3. Py+Nx/xy(P+N)
4. x−y/P+N
5. Px+N/yP+N

2. Question

Please enter your answer in the space below.

Consider the following figure:

The perimeter of figure ABCDE is 50, with various side lengths as indicated. If BC is four times as long as AB, what is the length of AB?

3. Question

This question has five answer choices. Select the best one of the answer choices given.

If 4 cows produce 4 cans of milk in 4 days, how many days does it take 8 cows to produce 8 cans of milk?

1. 1
2. 2
3. 4
4. 8
5. 16

4. Question

This question has five answer choices. Select the best one of the answer choices given.

Assume that a, b, and c are positive integers such that

5 is a factor of c,
a is divisible by 3,
b is divisible by a.

Which of the following statements must be true?

1. 45 is not a factor of abc.
2.
3. 2b is divisible by 9.
4. b is a multiple of 9.
5. 15 is not a factor of ac.

5. Question

This question has five answer choices. Select the best one of the answer choices given.

If x² + 2x – 8 = 0, then x is either –4 or ________.

1. −2
2. −1
3. 0
4. 2
5. 8

6. Question

This question has five answer choices. Select the best one of the answer choices given.

In a triangle ABC, one side has length 7 and another side has length 3. Which of the following could be the length of the third side?

1. 3
2. 4
3. 7
4. 10.2
5. 11

7. Question

This question has five answer choices. Select the best one of the answer choices given.

The need for increased security while surfing the Internet has become more prevalent over time. A certain Internet provider requires its users’ passwords to consist of 10 characters. The first 6 characters must be letters (not case sensitive), the next 3 characters must be numeric (0 through 9), and the final character must be one of a collection of 15 symbols. Assuming that repetition of letters and numbers is permissible, which of the following expressions represents the number of distinct passwords that can be made?

1.
2.
3.
4.