ASVAB Arithmetic Reasoning Practice Test 476585 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.09
Score	0%	62%

Review

On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 65% of his shots. If the guard takes 30 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

	37
	41
	63
	42

Solution

If the guard hits 65% of his shots and takes 30 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{65}{100} \) = \( \frac{65 x 30}{100} \) = \( \frac{1950}{100} \) = 19 shots

The center makes 45% 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 = \( \frac{19}{\frac{45}{100}} \) = 19 x \( \frac{100}{45} \) = \( \frac{19 x 100}{45} \) = \( \frac{1900}{45} \) = 42 shots

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

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

59% Answer Correctly

	distributive
	commutative
	associative
	PEDMAS

Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

If \( \left|y + 9\right| \) + 3 = 4, which of these is a possible value for y?

62% Answer Correctly

	3
	-12
	16
	-10

Solution

First, solve for \( \left|y + 9\right| \):

The value inside the absolute value brackets can be either positive or negative so (y + 9) must equal + 1 or -1 for \( \left|y + 9\right| \) to equal 1:

y + 9 = 1
y = 1 - 9
y = -8

y + 9 = -1
y = -1 - 9
y = -10

So, y = -10 or y = -8.

Simplify \( \frac{20}{60} \).

77% Answer Correctly

	\( \frac{2}{5} \)
	\( \frac{1}{3} \)
	\( \frac{3}{5} \)
	\( \frac{5}{16} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 4, 5, 10, 20] making 20 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{20}{60} \) = \( \frac{\frac{20}{20}}{\frac{60}{20}} \) = \( \frac{1}{3} \)

Which of the following is not a prime number?

65% Answer Correctly

	5
	9
	7
	2

Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.