ASVAB Arithmetic Reasoning Practice Test 206497 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.14
Score	0%	63%

Review

If a mayor is elected with 74% of the votes cast and 67% of a town's 21,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly

	10,412
	12,382
	11,397
	12,663

Solution

If 67% of the town's 21,000 voters cast ballots the number of votes cast is:

(\( \frac{67}{100} \)) x 21,000 = \( \frac{1,407,000}{100} \) = 14,070

The mayor got 74% of the votes cast which is:

(\( \frac{74}{100} \)) x 14,070 = \( \frac{1,041,180}{100} \) = 10,412 votes.

What is the greatest common factor of 76 and 24?

77% Answer Correctly

	4
	1
	21
	20

Solution

The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 3 factors [1, 2, 4] making 4 the greatest factor 76 and 24 have in common.

If \( \left|c + 5\right| \) + 6 = 8, which of these is a possible value for c?

62% Answer Correctly

	-6
	6
	-7
	10

Solution

First, solve for \( \left|c + 5\right| \):

The value inside the absolute value brackets can be either positive or negative so (c + 5) must equal + 2 or -2 for \( \left|c + 5\right| \) to equal 2:

c + 5 = 2
c = 2 - 5
c = -3

c + 5 = -2
c = -2 - 5
c = -7

So, c = -7 or c = -3.

What is (y²)⁴?

80% Answer Correctly

	y⁸
	y⁶
	y^-2
	y²

Solution

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

(y²)⁴
y^{(2 * 4)}
y⁸

Which of the following statements about exponents is false?

47% Answer Correctly

	all of these are false
	b¹ = 1
	b⁰ = 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).