ASVAB Arithmetic Reasoning Practice Test 583173 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly
37\(\frac{1}{2}\)%
35%
30%
32\(\frac{1}{2}\)%
Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%

2

4! = ?

85% Answer Correctly

4 x 3 x 2 x 1

3 x 2 x 1

4 x 3

5 x 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.

3

53% Answer Correctly
2.0
1
1.0
5.4
Solution


1

4

How many hours does it take a car to travel 315 miles at an average speed of 45 miles per hour?

86% Answer Correctly
2 hours
6 hours
3 hours
7 hours
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 time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{315mi}{45mph} \)
7 hours

5

A machine in a factory has an error rate of 6 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 9 hours for maintenance.

How many error-free parts did the machine produce yesterday?

49% Answer Correctly
98
112.8
103.7
157.9
Solution

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{6}{100} \) x 8 = \( \frac{6 \times 8}{100} \) = \( \frac{48}{100} \) = 0.48 errors per hour

So, in an average hour, the machine will produce 8 - 0.48 = 7.52 error free parts.

The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 7.52 = 112.8 error free parts were produced yesterday.