ASVAB Arithmetic Reasoning Practice Test 574472 Results

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

Review

1

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

67% Answer Correctly

a = -7

a = 7

a = 7 or 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).


2

What is \( \frac{8}{4} \) - \( \frac{3}{12} \)?

61% Answer Correctly
1\(\frac{3}{4}\)
\( \frac{2}{12} \)
\( \frac{9}{15} \)
1 \( \frac{7}{15} \)

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 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.

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

\( \frac{8 x 3}{4 x 3} \) - \( \frac{3 x 1}{12 x 1} \)

\( \frac{24}{12} \) - \( \frac{3}{12} \)

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

\( \frac{24 - 3}{12} \) = \( \frac{21}{12} \) = 1\(\frac{3}{4}\)


3

Which of these numbers is a factor of 64?

68% Answer Correctly
20
16
5
64

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Monty buys two shirts, each with a regular price of $12, how much money will he save?

70% Answer Correctly
$0.60
$1.80
$2.40
$5.40

Solution

By buying two shirts, Monty will save $12 x \( \frac{20}{100} \) = \( \frac{$12 x 20}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common factor

least common multiple

greatest common multiple

absolute value


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.