ASVAB Arithmetic Reasoning Practice Test 691570 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

Which of these numbers is a factor of 16?

68% Answer Correctly
5
17
14
1

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.


2

What is \( \sqrt{\frac{81}{4}} \)?

70% Answer Correctly
\(\frac{4}{5}\)
1\(\frac{1}{5}\)
\(\frac{2}{7}\)
4\(\frac{1}{2}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{81}{4}} \)
\( \frac{\sqrt{81}}{\sqrt{4}} \)
\( \frac{\sqrt{9^2}}{\sqrt{2^2}} \)
\( \frac{9}{2} \)
4\(\frac{1}{2}\)


3

If all of a roofing company's 4 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?

55% Answer Correctly
4
6
12
1

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 4 workers at the company now and that's enough to staff 2 crews so there are \( \frac{4}{2} \) = 2 workers on a crew. 5 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 5 x 2 = 10 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 10 - 4 = 6 new staff for the busy season.


4

What is the greatest common factor of 56 and 44?

77% Answer Correctly
1
3
9
4

Solution

The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 the greatest factor 56 and 44 have in common.


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common multiple

least common multiple

greatest common factor


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.