ASVAB Arithmetic Reasoning Practice Test 869364 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.05
Score	0%	61%

Review

The total water usage for a city is 25,000 gallons each day. Of that total, 26% is for personal use and 50% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	1,950
	1,700
	1,600
	6,000

Solution

50% of the water consumption is industrial use and 26% is personal use so (50% - 26%) = 24% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes $ \frac{24}{100} $ x 25,000 gallons = 6,000 gallons.

A machine in a factory has an error rate of 8 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?

49% Answer Correctly

	122.2
	78.4
	115.9
	95.6

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{8}{100} $ x 6 = $ \frac{8 \times 6}{100} $ = $ \frac{48}{100} $ = 0.48 errors per hour

So, in an average hour, the machine will produce 6 - 0.48 = 5.52 error free parts.

The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 5.52 = 115.9 error free parts were produced yesterday.

What is $ 8 $$ \sqrt{48} $ - $ 6 $$ \sqrt{3} $

38% Answer Correctly

	48$ \sqrt{48} $
	2$ \sqrt{3} $
	26$ \sqrt{3} $
	2$ \sqrt{16} $

Solution

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

8$ \sqrt{48} $ - 6$ \sqrt{3} $
8$ \sqrt{16 \times 3} $ - 6$ \sqrt{3} $
8$ \sqrt{4^2 \times 3} $ - 6$ \sqrt{3} $
(8)(4)$ \sqrt{3} $ - 6$ \sqrt{3} $
32$ \sqrt{3} $ - 6$ \sqrt{3} $

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

32$ \sqrt{3} $ - 6$ \sqrt{3} $
(32 - 6)$ \sqrt{3} $
26$ \sqrt{3} $

Ezra loaned Charlie $1,400 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$5
	$28
	$65
	$80

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 $1,400
i = 0.02 x $1,400
i = $28

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

86% Answer Correctly

	15 mph
	20 mph
	45 mph
	75 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

	48\( \sqrt{48} \)
	2\( \sqrt{3} \)
	26\( \sqrt{3} \)
	2\( \sqrt{16} \)