ASVAB Arithmetic Reasoning Practice Test 58544 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

Solve 4 + (3 + 4) ÷ 5 x 2 - 22

52% Answer Correctly
\(\frac{7}{9}\)
\(\frac{7}{8}\)
3
2\(\frac{4}{5}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 4) ÷ 5 x 2 - 22
P: 4 + (7) ÷ 5 x 2 - 22
E: 4 + 7 ÷ 5 x 2 - 4
MD: 4 + \( \frac{7}{5} \) x 2 - 4
MD: 4 + \( \frac{14}{5} \) - 4
AS: \( \frac{20}{5} \) + \( \frac{14}{5} \) - 4
AS: \( \frac{34}{5} \) - 4
AS: \( \frac{34 - 20}{5} \)
\( \frac{14}{5} \)
2\(\frac{4}{5}\)


2

9 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
5
1
8
9

Solution

There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 9 people needing transportation leaving 9 - 8 = 1 who will have to find other transportation.


3

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

67% Answer Correctly

a = 7 or a = -7

a = 7

none of these is correct

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

Ezra loaned Jennifer $100 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$103
$106
$108
$105

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $100
i = 0.03 x $100

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $100 + $3
total = $103


5

If a mayor is elected with 77% of the votes cast and 67% of a town's 42,000 voters cast a vote, how many votes did the mayor receive?

50% Answer Correctly
24,200
14,914
16,884
21,668

Solution

If 67% of the town's 42,000 voters cast ballots the number of votes cast is:

(\( \frac{67}{100} \)) x 42,000 = \( \frac{2,814,000}{100} \) = 28,140

The mayor got 77% of the votes cast which is:

(\( \frac{77}{100} \)) x 28,140 = \( \frac{2,166,780}{100} \) = 21,668 votes.