ASVAB Arithmetic Reasoning Practice Test 299023 Results

Your Results Global Average
Questions 5 5
Correct 0 3.52
Score 0% 70%

Review

1

Solve 2 + (3 + 4) ÷ 5 x 5 - 22

52% Answer Correctly
\(\frac{2}{3}\)
\(\frac{4}{5}\)
5
1\(\frac{1}{4}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (3 + 4) ÷ 5 x 5 - 22
P: 2 + (7) ÷ 5 x 5 - 22
E: 2 + 7 ÷ 5 x 5 - 4
MD: 2 + \( \frac{7}{5} \) x 5 - 4
MD: 2 + \( \frac{35}{5} \) - 4
AS: \( \frac{10}{5} \) + \( \frac{35}{5} \) - 4
AS: \( \frac{45}{5} \) - 4
AS: \( \frac{45 - 20}{5} \)
\( \frac{25}{5} \)
5


2

Which of the following is not an integer?

77% Answer Correctly

\({1 \over 2}\)

-1

0

1


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


3

4! = ?

85% Answer Correctly

3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


4

What is the distance in miles of a trip that takes 3 hours at an average speed of 35 miles per hour?

87% Answer Correctly
105 miles
25 miles
135 miles
200 miles

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 35mph \times 3h \)
105 miles


5

How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?

52% Answer Correctly
9
3
6
3

Solution

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3