ASVAB Arithmetic Reasoning Practice Test 944107 Results

Your Results Global Average
Questions 5 5
Correct 0 3.68
Score 0% 74%

Review

1

If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?

55% Answer Correctly
17
16
15
14

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 24 - 9 = 15 new staff for the busy season.


2

What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?

92% Answer Correctly
24
31
30
38

Solution

The equation for this sequence is:

an = an-1 + 6

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 6
a6 = 25 + 6
a6 = 31


3

What is \( \frac{3}{5} \) x \( \frac{2}{5} \)?

72% Answer Correctly
\(\frac{8}{63}\)
\(\frac{1}{27}\)
\(\frac{6}{25}\)
\(\frac{1}{21}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{5} \) x \( \frac{2}{5} \) = \( \frac{3 x 2}{5 x 5} \) = \( \frac{6}{25} \) = \(\frac{6}{25}\)


4

What is the greatest common factor of 36 and 28?

77% Answer Correctly
25
10
4
15

Solution

The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 36 and 28 have in common.


5

Ezra loaned Alex $600 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$120
$24
$49
$135

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $600
i = 0.04 x $600
i = $24