ASVAB Arithmetic Reasoning Practice Test 900153 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

What is the greatest common factor of 60 and 56?

77% Answer Correctly
21
10
36
4

Solution

The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 3 factors [1, 2, 4] making 4 the greatest factor 60 and 56 have in common.


2

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

mixed number

fraction

integer


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


3

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = 7 or a = -7

none of these is correct

a = 7

a = -7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).


4

What is \( \frac{1y^8}{7y^4} \)?

60% Answer Correctly
\(\frac{1}{7}\)y4
7y12
7y4
\(\frac{1}{7}\)y32

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{y^8}{7y^4} \)
\( \frac{1}{7} \) y(8 - 4)
\(\frac{1}{7}\)y4


5

What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?

69% Answer Correctly
59
70
66
61

Solution

The equation for this sequence is:

an = an-1 + 4(n - 1)

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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61