ASVAB Arithmetic Reasoning Practice Test 919871 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

Find the average of the following numbers: 17, 11, 18, 10.

74% Answer Correctly
19
14
15
12

Solution

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

\( \frac{17 + 11 + 18 + 10}{4} \) = \( \frac{56}{4} \) = 14


2

Solve 4 + (3 + 5) ÷ 4 x 3 - 42

52% Answer Correctly
-6
\(\frac{1}{4}\)
\(\frac{1}{2}\)
1

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 5) ÷ 4 x 3 - 42
P: 4 + (8) ÷ 4 x 3 - 42
E: 4 + 8 ÷ 4 x 3 - 16
MD: 4 + \( \frac{8}{4} \) x 3 - 16
MD: 4 + \( \frac{24}{4} \) - 16
AS: \( \frac{16}{4} \) + \( \frac{24}{4} \) - 16
AS: \( \frac{40}{4} \) - 16
AS: \( \frac{40 - 64}{4} \)
\( \frac{-24}{4} \)
-6


3

If a mayor is elected with 62% of the votes cast and 78% of a town's 27,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
17,901
13,057
18,112
12,425

Solution

If 78% of the town's 27,000 voters cast ballots the number of votes cast is:

(\( \frac{78}{100} \)) x 27,000 = \( \frac{2,106,000}{100} \) = 21,060

The mayor got 62% of the votes cast which is:

(\( \frac{62}{100} \)) x 21,060 = \( \frac{1,305,720}{100} \) = 13,057 votes.


4

a(b + c) = ab + ac defines which of the following?

74% Answer Correctly

commutative property for multiplication

commutative property for division

distributive property for multiplication

distributive property for division


Solution

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.


5

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

distributive

associative

commutative

PEDMAS


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.