ASVAB Arithmetic Reasoning Practice Test 572054 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

What is (x2)5?

79% Answer Correctly
5x2
x-3
x10
2x5

Solution

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

(x2)5
x(2 * 5)
x10


2

If a mayor is elected with 81% of the votes cast and 42% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
7,484
8,039
6,376
5,729

Solution

If 42% of the town's 22,000 voters cast ballots the number of votes cast is:

(\( \frac{42}{100} \)) x 22,000 = \( \frac{924,000}{100} \) = 9,240

The mayor got 81% of the votes cast which is:

(\( \frac{81}{100} \)) x 9,240 = \( \frac{748,440}{100} \) = 7,484 votes.


3

4! = ?

84% Answer Correctly

3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


4

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

74% Answer Correctly

distributive property for multiplication

distributive property for division

commutative property for division

commutative property for multiplication


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

Convert 1,100,000 to scientific notation.

62% Answer Correctly
1.1 x 10-5
1.1 x 105
1.1 x 106
1.1 x 10-6

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

1,100,000 in scientific notation is 1.1 x 106