ASVAB Arithmetic Reasoning Practice Test 453543 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

14 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
1
6
4
8

Solution

There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 14 people needing transportation leaving 14 - 10 = 4 who will have to find other transportation.


2

If \( \left|x + 8\right| \) + 4 = 4, which of these is a possible value for x?

62% Answer Correctly
9
-7
-19
-8

Solution

First, solve for \( \left|x + 8\right| \):

\( \left|x + 8\right| \) + 4 = 4
\( \left|x + 8\right| \) = 4 - 4
\( \left|x + 8\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (x + 8) must equal + 0 or -0 for \( \left|x + 8\right| \) to equal 0:

x + 8 = 0
x = 0 - 8
x = -8
x + 8 = 0
x = 0 - 8
x = -8

So, x = -8 or x = -8.


3

A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly
37\(\frac{1}{2}\)%
17\(\frac{1}{2}\)%
25%
22\(\frac{1}{2}\)%

Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $48, how much money will he save?

70% Answer Correctly
$24.00
$9.60
$14.40
$7.20

Solution

By buying two shirts, Damon will save $48 x \( \frac{15}{100} \) = \( \frac{$48 x 15}{100} \) = \( \frac{$720}{100} \) = $7.20 on the second shirt.


5

How many hours does it take a car to travel 90 miles at an average speed of 30 miles per hour?

86% Answer Correctly
9 hours
8 hours
3 hours
4 hours

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{90mi}{30mph} \)
3 hours