ASVAB Arithmetic Reasoning Practice Test 542119 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common factor

greatest common multiple

absolute value

least common multiple


Solution

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


2

Which of these numbers is a factor of 20?

68% Answer Correctly
20
19
22
5

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.


3

What is \( \sqrt{\frac{9}{4}} \)?

70% Answer Correctly
1\(\frac{1}{2}\)
\(\frac{4}{7}\)
\(\frac{5}{7}\)
\(\frac{5}{9}\)

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:

\( \sqrt{\frac{9}{4}} \)
\( \frac{\sqrt{9}}{\sqrt{4}} \)
\( \frac{\sqrt{3^2}}{\sqrt{2^2}} \)
\( \frac{3}{2} \)
1\(\frac{1}{2}\)


4

Find the average of the following numbers: 12, 10, 15, 7.

75% Answer Correctly
9
11
12
6

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{12 + 10 + 15 + 7}{4} \) = \( \frac{44}{4} \) = 11


5

Solve for \( \frac{5!}{6!} \)

67% Answer Correctly
56
\( \frac{1}{6720} \)
\( \frac{1}{6} \)
30

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{5!}{6!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6} \)
\( \frac{1}{6} \)