ASVAB Arithmetic Reasoning Practice Test 416505 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.95
Score	0%	59%

Review

If a car travels 60 miles in 4 hours, what is the average speed?

86% Answer Correctly

	25 mph
	50 mph
	15 mph
	70 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = $ \frac{\text{distance}}{\text{time}} $
speed = $ \frac{60mi}{4h} $
15 mph

How many 2$\frac{1}{2}$ gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?

52% Answer Correctly

	4
	10
	2
	5

Solution

To fill a 25 gallon tank exactly halfway you'll need 12$\frac{1}{2}$ gallons of fuel. Each fuel can holds 2$\frac{1}{2}$ gallons so:

cans = $ \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} $ = 5

What is $ 6 $$ \sqrt{8} $ - $ 2 $$ \sqrt{2} $

38% Answer Correctly

	4$ \sqrt{0} $
	4$ \sqrt{4} $
	4$ \sqrt{8} $
	10$ \sqrt{2} $

Solution

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

6$ \sqrt{8} $ - 2$ \sqrt{2} $
6$ \sqrt{4 \times 2} $ - 2$ \sqrt{2} $
6$ \sqrt{2^2 \times 2} $ - 2$ \sqrt{2} $
(6)(2)$ \sqrt{2} $ - 2$ \sqrt{2} $
12$ \sqrt{2} $ - 2$ \sqrt{2} $

Now that the radicands are identical, you can subtract them:

12$ \sqrt{2} $ - 2$ \sqrt{2} $
(12 - 2)$ \sqrt{2} $
10$ \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 8 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.

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

49% Answer Correctly

	96.9
	177.7
	145.6
	115.9

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 8 = $ \frac{9 \times 8}{100} $ = $ \frac{72}{100} $ = 0.72 errors per hour

So, in an average hour, the machine will produce 8 - 0.72 = 7.28 error free parts.

The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 7.28 = 145.6 error free parts were produced yesterday.

Charlie loaned Christine $700 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly

	$742
	$749
	$756
	$763

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 $700
i = 0.07 x $700

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $700 + $49
total = $749

	4\( \sqrt{0} \)
	4\( \sqrt{4} \)
	4\( \sqrt{8} \)
	10\( \sqrt{2} \)