ASVAB Arithmetic Reasoning Practice Test 239200 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

Solve for \( \frac{3!}{4!} \)

67% Answer Correctly
504
42
\( \frac{1}{4} \)
3024

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)


2

What is (a3)3?

80% Answer Correctly
a9
a0
3a3
a6

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(a3)3
a(3 * 3)
a9


3

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

55% Answer Correctly

distributive property for division

commutative property for multiplication

distributive property for multiplication

commutative property for division


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


4

Find the average of the following numbers: 11, 7, 12, 6.

74% Answer Correctly
4
6
9
7

Solution

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

\( \frac{11 + 7 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9


5

Which of the following is not an integer?

77% Answer Correctly

1

\({1 \over 2}\)

-1

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.