ASVAB Arithmetic Reasoning Practice Test 374132 Results

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

Review

Which of these numbers is a factor of 72?

69% Answer Correctly

	43
	4
	76
	22

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

What is (a³)⁵?

80% Answer Correctly

	a⁸
	a^-2
	a¹⁵
	a²

Solution

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

(a³)⁵
a^{(3 * 5)}
a¹⁵

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

	absolute value
	greatest common factor
	greatest common multiple
	least common multiple

Solution

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

On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 35% 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

	23
	12
	16
	28

Solution

If the guard hits 35% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{35}{100} \) = \( \frac{35 x 20}{100} \) = \( \frac{700}{100} \) = 7 shots

The center makes 25% 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 = \( \frac{7}{\frac{25}{100}} \) = 7 x \( \frac{100}{25} \) = \( \frac{7 x 100}{25} \) = \( \frac{700}{25} \) = 28 shots

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

Which of the following statements about exponents is false?

47% Answer Correctly

	all of these are false
	b⁰ = 1
	b¹ = 1
	b¹ = b

Solution

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).