ASVAB Arithmetic Reasoning Practice Test 474923 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

Which of these numbers is a factor of 72?

68% Answer Correctly
45
24
54
37

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.


2

What is \( \frac{35\sqrt{8}}{7\sqrt{2}} \)?

71% Answer Correctly
4 \( \sqrt{5} \)
\(\frac{1}{4}\) \( \sqrt{5} \)
\(\frac{1}{5}\) \( \sqrt{4} \)
5 \( \sqrt{4} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{35\sqrt{8}}{7\sqrt{2}} \)
\( \frac{35}{7} \) \( \sqrt{\frac{8}{2}} \)
5 \( \sqrt{4} \)


3

What is the greatest common factor of 32 and 20?

77% Answer Correctly
10
11
20
4

Solution

The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 32 and 20 have in common.


4

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

78% Answer Correctly

improper fraction

fraction

integer

mixed number


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.


5

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).