ASVAB Arithmetic Reasoning Practice Test 941201 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

How many hours does it take a car to travel 200 miles at an average speed of 25 miles per hour?

86% Answer Correctly
9 hours
8 hours
3 hours
1 hour

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 = \( \frac{200mi}{25mph} \)
8 hours


2

What is \( 4 \)\( \sqrt{20} \) - \( 6 \)\( \sqrt{5} \)

38% Answer Correctly
-2\( \sqrt{4} \)
24\( \sqrt{5} \)
2\( \sqrt{5} \)
24\( \sqrt{4} \)

Solution

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

4\( \sqrt{20} \) - 6\( \sqrt{5} \)
4\( \sqrt{4 \times 5} \) - 6\( \sqrt{5} \)
4\( \sqrt{2^2 \times 5} \) - 6\( \sqrt{5} \)
(4)(2)\( \sqrt{5} \) - 6\( \sqrt{5} \)
8\( \sqrt{5} \) - 6\( \sqrt{5} \)

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

8\( \sqrt{5} \) - 6\( \sqrt{5} \)
(8 - 6)\( \sqrt{5} \)
2\( \sqrt{5} \)


3

Which of these numbers is a factor of 32?

68% Answer Correctly
35
1
21
19

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.


4

What is \( \frac{5}{6} \) + \( \frac{2}{8} \)?

60% Answer Correctly
2 \( \frac{4}{13} \)
2 \( \frac{2}{24} \)
1\(\frac{1}{12}\)
\( \frac{4}{24} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 4}{6 x 4} \) + \( \frac{2 x 3}{8 x 3} \)

\( \frac{20}{24} \) + \( \frac{6}{24} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{20 + 6}{24} \) = \( \frac{26}{24} \) = 1\(\frac{1}{12}\)


5

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 $33, how much money will he save?

70% Answer Correctly
$4.95
$13.20
$6.60
$1.65

Solution

By buying two shirts, Damon will save $33 x \( \frac{15}{100} \) = \( \frac{$33 x 15}{100} \) = \( \frac{$495}{100} \) = $4.95 on the second shirt.