ASVAB Arithmetic Reasoning Practice Test 549743 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

What is \( \frac{5}{2} \) - \( \frac{4}{4} \)?

61% Answer Correctly
2 \( \frac{5}{8} \)
1 \( \frac{7}{4} \)
1\(\frac{1}{2}\)
\( \frac{1}{4} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 share.

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

\( \frac{5 x 2}{2 x 2} \) - \( \frac{4 x 1}{4 x 1} \)

\( \frac{10}{4} \) - \( \frac{4}{4} \)

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

\( \frac{10 - 4}{4} \) = \( \frac{6}{4} \) = 1\(\frac{1}{2}\)


2

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

integer

mixed number

fraction

improper fraction


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


3

Find the average of the following numbers: 17, 13, 17, 13.

74% Answer Correctly
20
15
10
13

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{17 + 13 + 17 + 13}{4} \) = \( \frac{60}{4} \) = 15


4

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = 1

b0 = 1

b1 = b

all of these are false


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


5

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).