ASVAB Arithmetic Reasoning Practice Test 555447 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.89
Score	0%	58%

Review

4! = ?

85% Answer Correctly

	4 x 3 x 2 x 1
	4 x 3
	5 x 4 x 3 x 2 x 1
	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.

Which of the following statements about exponents is false?

47% Answer Correctly

	b¹ = b
	all of these are false
	b¹ = 1
	b⁰ = 1

Solution

A number with an exponent (b^e) 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).

Bob loaned Alex $1,300 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$77
	$104
	$30
	$21

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $1,300
i = 0.08 x $1,300
i = $104

What is $ 3 $$ \sqrt{18} $ + $ 3 $$ \sqrt{2} $

35% Answer Correctly

	6$ \sqrt{2} $
	6$ \sqrt{9} $
	12$ \sqrt{2} $
	9$ \sqrt{36} $

Solution

To add these radicals together their radicands must be the same:

3$ \sqrt{18} $ + 3$ \sqrt{2} $
3$ \sqrt{9 \times 2} $ + 3$ \sqrt{2} $
3$ \sqrt{3^2 \times 2} $ + 3$ \sqrt{2} $
(3)(3)$ \sqrt{2} $ + 3$ \sqrt{2} $
9$ \sqrt{2} $ + 3$ \sqrt{2} $

Now that the radicands are identical, you can add them together:

9$ \sqrt{2} $ + 3$ \sqrt{2} $
(9 + 3)$ \sqrt{2} $
12$ \sqrt{2} $

A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 6 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.

How many error-free parts did the machine produce yesterday?

48% Answer Correctly

	114.7
	134.4
	89.3
	167.4

Solution

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

$ \frac{9}{100} $ x 6 = $ \frac{9 \times 6}{100} $ = $ \frac{54}{100} $ = 0.54 errors per hour

So, in an average hour, the machine will produce 6 - 0.54 = 5.46 error free parts.

The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 5.46 = 114.7 error free parts were produced yesterday.

	6\( \sqrt{2} \)
	6\( \sqrt{9} \)
	12\( \sqrt{2} \)
	9\( \sqrt{36} \)