ASVAB Arithmetic Reasoning Practice Test 324199 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

What is \( \frac{8}{4} \) - \( \frac{8}{6} \)?

61% Answer Correctly
1 \( \frac{5}{12} \)
\( \frac{9}{17} \)
\( \frac{1}{7} \)
\(\frac{2}{3}\)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.

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

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

\( \frac{24}{12} \) - \( \frac{16}{12} \)

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

\( \frac{24 - 16}{12} \) = \( \frac{8}{12} \) = \(\frac{2}{3}\)


2

Which of the following is not an integer?

77% Answer Correctly

1

-1

\({1 \over 2}\)

0


Solution

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


3

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 $34, how much money will he save?

70% Answer Correctly
$17.00
$13.60
$10.20
$6.80

Solution

By buying two shirts, Bob will save $34 x \( \frac{30}{100} \) = \( \frac{$34 x 30}{100} \) = \( \frac{$1020}{100} \) = $10.20 on the second shirt.


4

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

67% Answer Correctly

a = 7 or a = -7

a = -7

a = 7

none of these is correct


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).


5

53% Answer Correctly
1.8
3.5
5.4
1

Solution


1