ASVAB Arithmetic Reasoning Practice Test 663147 Results

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

Review

The total water usage for a city is 35,000 gallons each day. Of that total, 23% is for personal use and 54% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	7,750
	10,850
	7,500
	3,450

Solution

54% of the water consumption is industrial use and 23% is personal use so (54% - 23%) = 31% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes $ \frac{31}{100} $ x 35,000 gallons = 10,850 gallons.

Damon loaned Monica $600 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

	$630
	$642
	$648
	$654

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 $600
i = 0.07 x $600

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

total = $600 + $42
total = $642

What is $ \frac{5}{2} $ - $ \frac{5}{6} $?

61% Answer Correctly

	1 $ \frac{1}{6} $
	$ \frac{9}{6} $
	2 $ \frac{1}{4} $
	1$\frac{2}{3}$

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

$ \frac{5 x 3}{2 x 3} $ - $ \frac{5 x 1}{6 x 1} $

$ \frac{15}{6} $ - $ \frac{5}{6} $

Now, because the fractions share a common denominator, you can subtract them:

$ \frac{15 - 5}{6} $ = $ \frac{10}{6} $ = 1$\frac{2}{3}$

What is -b² x 2b²?

75% Answer Correctly

	b⁴
	-2b²
	-2b⁴
	b²

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-b² x 2b²
(-1 x 2)b^{(2 + 2)}
-2b⁴

If a car travels 160 miles in 8 hours, what is the average speed?

86% Answer Correctly

	25 mph
	30 mph
	20 mph
	65 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{160mi}{8h} $
20 mph

	1 \( \frac{1}{6} \)
	\( \frac{9}{6} \)
	2 \( \frac{1}{4} \)
	1\(\frac{2}{3}\)