ASVAB Arithmetic Reasoning Practice Test 183374 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

What is \( \frac{3}{8} \) x \( \frac{2}{7} \)?

72% Answer Correctly
\(\frac{2}{9}\)
\(\frac{6}{25}\)
\(\frac{1}{14}\)
\(\frac{3}{28}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{8} \) x \( \frac{2}{7} \) = \( \frac{3 x 2}{8 x 7} \) = \( \frac{6}{56} \) = \(\frac{3}{28}\)


2

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).


3

Bob loaned Monica $1,400 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$1,470
$1,526
$1,456
$1,512

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 $1,400
i = 0.05 x $1,400

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

total = $1,400 + $70
total = $1,470


4

What is \( 9 \)\( \sqrt{12} \) + \( 8 \)\( \sqrt{3} \)

35% Answer Correctly
17\( \sqrt{3} \)
72\( \sqrt{3} \)
17\( \sqrt{12} \)
26\( \sqrt{3} \)

Solution

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

9\( \sqrt{12} \) + 8\( \sqrt{3} \)
9\( \sqrt{4 \times 3} \) + 8\( \sqrt{3} \)
9\( \sqrt{2^2 \times 3} \) + 8\( \sqrt{3} \)
(9)(2)\( \sqrt{3} \) + 8\( \sqrt{3} \)
18\( \sqrt{3} \) + 8\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

18\( \sqrt{3} \) + 8\( \sqrt{3} \)
(18 + 8)\( \sqrt{3} \)
26\( \sqrt{3} \)


5

How many 13-passenger vans will it take to drive all 67 members of the football team to an away game?

81% Answer Correctly
3 vans
8 vans
6 vans
4 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{67}{13} \) = 5\(\frac{2}{13}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.