ASVAB Arithmetic Reasoning Practice Test 490299 Results

Your Results Global Average
Questions 5 5
Correct 0 3.61
Score 0% 72%

Review

1

Which of these numbers is a factor of 28?

69% Answer Correctly
7
25
10
19

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.


2

What is \( 7 \)\( \sqrt{27} \) - \( 4 \)\( \sqrt{3} \)

38% Answer Correctly
3\( \sqrt{0} \)
17\( \sqrt{3} \)
28\( \sqrt{9} \)
28\( \sqrt{27} \)

Solution

To subtract these radicals together their radicands must be the same:

7\( \sqrt{27} \) - 4\( \sqrt{3} \)
7\( \sqrt{9 \times 3} \) - 4\( \sqrt{3} \)
7\( \sqrt{3^2 \times 3} \) - 4\( \sqrt{3} \)
(7)(3)\( \sqrt{3} \) - 4\( \sqrt{3} \)
21\( \sqrt{3} \) - 4\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

21\( \sqrt{3} \) - 4\( \sqrt{3} \)
(21 - 4)\( \sqrt{3} \)
17\( \sqrt{3} \)


3

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\({5 \over 7} \)

\({a \over 5} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.


4

What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?

92% Answer Correctly
41
46
39
34

Solution

The equation for this sequence is:

an = an-1 + 8

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 + 8
a6 = 33 + 8
a6 = 41


5

Which of the following is not an integer?

77% Answer Correctly

0

1

-1

\({1 \over 2}\)


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.