ASVAB Arithmetic Reasoning Practice Test 64937 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.27
Score	0%	65%

Review

The total water usage for a city is 15,000 gallons each day. Of that total, 33% is for personal use and 53% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	3,000
	7,249
	11,550
	6,300

Solution

53% of the water consumption is industrial use and 33% is personal use so (53% - 33%) = 20% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes $ \frac{20}{100} $ x 15,000 gallons = 3,000 gallons.

What is $ \frac{6}{4} $ - $ \frac{3}{8} $?

61% Answer Correctly

	2 $ \frac{6}{15} $
	2 $ \frac{9}{13} $
	1$\frac{1}{8}$
	$ \frac{1}{8} $

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 share.

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

$ \frac{6 x 2}{4 x 2} $ - $ \frac{3 x 1}{8 x 1} $

$ \frac{12}{8} $ - $ \frac{3}{8} $

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

$ \frac{12 - 3}{8} $ = $ \frac{9}{8} $ = 1$\frac{1}{8}$

What is (a³)⁴?

80% Answer Correctly

	a¹²
	4a³
	3a⁴
	a⁷

Solution

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

(a³)⁴
a^{(3 * 4)}
a¹²

Frank loaned Damon $200 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$18
	$84
	$20
	$70

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 $200
i = 0.09 x $200
i = $18

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

	least common multiple
	absolute value
	greatest common factor
	least common factor

Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

	2 \( \frac{6}{15} \)
	2 \( \frac{9}{13} \)
	1\(\frac{1}{8}\)
	\( \frac{1}{8} \)