ASVAB Arithmetic Reasoning Practice Test 157036 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

If a mayor is elected with 90% of the votes cast and 30% of a town's 33,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
5,346
6,435
8,910
8,613

Solution

If 30% of the town's 33,000 voters cast ballots the number of votes cast is:

(\( \frac{30}{100} \)) x 33,000 = \( \frac{990,000}{100} \) = 9,900

The mayor got 90% of the votes cast which is:

(\( \frac{90}{100} \)) x 9,900 = \( \frac{891,000}{100} \) = 8,910 votes.


2

What is \( \sqrt{\frac{4}{4}} \)?

70% Answer Correctly
1
4\(\frac{1}{2}\)
\(\frac{5}{7}\)
1\(\frac{1}{3}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{4}} \)
\( \frac{\sqrt{4}}{\sqrt{4}} \)
\( \frac{\sqrt{2^2}}{\sqrt{2^2}} \)
1


3

What is \( \frac{3y^6}{7y^4} \)?

60% Answer Correctly
2\(\frac{1}{3}\)y2
\(\frac{3}{7}\)y1\(\frac{1}{2}\)
\(\frac{3}{7}\)y2
\(\frac{3}{7}\)y-2

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{3y^6}{7y^4} \)
\( \frac{3}{7} \) y(6 - 4)
\(\frac{3}{7}\)y2


4

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

absolute value

greatest common factor

least common multiple


Solution

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


5

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b1 = 1

b1 = b

b0 = 1


Solution

A number with an exponent (be) 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).