ASVAB Arithmetic Reasoning Practice Test 341011 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.06
Score	0%	61%

Review

Charlie loaned Roger $1,200 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

	$88
	$49
	$96
	$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 $1,200
i = 0.08 x $1,200
i = $96

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

	least common multiple
	greatest common multiple
	absolute value
	greatest common factor

Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.

What is $ \frac{2}{6} $ + $ \frac{9}{10} $?

60% Answer Correctly

	2 $ \frac{1}{30} $
	1 $ \frac{4}{9} $
	2 $ \frac{8}{30} $
	1$\frac{7}{30}$

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.

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

$ \frac{2 x 5}{6 x 5} $ + $ \frac{9 x 3}{10 x 3} $

$ \frac{10}{30} $ + $ \frac{27}{30} $

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

$ \frac{10 + 27}{30} $ = $ \frac{37}{30} $ = 1$\frac{7}{30}$

On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly

	16
	24
	26
	21

Solution

If the guard hits 45% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x $ \frac{\text{% made}}{100} $ = 20 x $ \frac{45}{100} $ = $ \frac{45 x 20}{100} $ = $ \frac{900}{100} $ = 9 shots

The center makes 35% of his shots so he'll have to take:

shots made = shots taken x $ \frac{\text{% made}}{100} $
shots taken = $ \frac{\text{shots taken}}{\frac{\text{% made}}{100}} $

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = $ \frac{9}{\frac{35}{100}} $ = 9 x $ \frac{100}{35} $ = $ \frac{9 x 100}{35} $ = $ \frac{900}{35} $ = 26 shots

to make the same number of shots as the guard and thus score the same number of points.

If $ \left|a - 6\right| $ - 6 = -9, which of these is a possible value for a?

62% Answer Correctly

	9
	-11
	-8
	-22

Solution

First, solve for $ \left|a - 6\right| $:

The value inside the absolute value brackets can be either positive or negative so (a - 6) must equal - 3 or --3 for $ \left|a - 6\right| $ to equal -3:

a - 6 = -3
a = -3 + 6
a = 3

a - 6 = 3
a = 3 + 6
a = 9

So, a = 9 or a = 3.

	2 \( \frac{1}{30} \)
	1 \( \frac{4}{9} \)
	2 \( \frac{8}{30} \)
	1\(\frac{7}{30}\)