ASVAB Arithmetic Reasoning Practice Test 210472 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

Which of the following is not an integer?

77% Answer Correctly

1

0

\({1 \over 2}\)

-1


Solution

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


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Bob buys two shirts, each with a regular price of $15, how much will he pay for both shirts?

57% Answer Correctly
$15.75
$25.50
$21.75
$10.50

Solution

By buying two shirts, Bob will save $15 x \( \frac{30}{100} \) = \( \frac{$15 x 30}{100} \) = \( \frac{$450}{100} \) = $4.50 on the second shirt.

So, his total cost will be
$15.00 + ($15.00 - $4.50)
$15.00 + $10.50
$25.50


3

If \( \left|c + 0\right| \) + 6 = 2, which of these is a possible value for c?

62% Answer Correctly
9
0
-4
-24

Solution

First, solve for \( \left|c + 0\right| \):

\( \left|c + 0\right| \) + 6 = 2
\( \left|c + 0\right| \) = 2 - 6
\( \left|c + 0\right| \) = -4

The value inside the absolute value brackets can be either positive or negative so (c + 0) must equal - 4 or --4 for \( \left|c + 0\right| \) to equal -4:

c + 0 = -4
c = -4 + 0
c = -4
c + 0 = 4
c = 4 + 0
c = 4

So, c = 4 or c = -4.


4

If all of a roofing company's 6 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?

55% Answer Correctly
18
17
16
6

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 6 workers at the company now and that's enough to staff 3 crews so there are \( \frac{6}{3} \) = 2 workers on a crew. 6 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 6 x 2 = 12 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 12 - 6 = 6 new staff for the busy season.


5

What is 8z3 + 4z3?

66% Answer Correctly
12z3
4z3
4z-3
12z9

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

8z3 + 4z3
(8 + 4)z3
12z3