ASVAB Arithmetic Reasoning Practice Test 497087 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.15
Score	0%	63%

Review

A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 9 hours for maintenance.

How many error-free parts did the machine produce yesterday?

49% Answer Correctly

	131
	153.6
	140.8
	143.2

Solution

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

$ \frac{3}{100} $ x 9 = $ \frac{3 \times 9}{100} $ = $ \frac{27}{100} $ = 0.27 errors per hour

So, in an average hour, the machine will produce 9 - 0.27 = 8.73 error free parts.

The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 8.73 = 131 error free parts were produced yesterday.

Which of the following is not an integer?

77% Answer Correctly

	${1 \over 2}$
	1
	-1
	0

Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

Charlie loaned Ezra $1,000 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$45
	$4
	$90
	$30

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 $1,000
i = 0.09 x $1,000
i = $90

If a mayor is elected with 58% of the votes cast and 47% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly

	13,395
	20,680
	17,155
	13,630

Solution

If 47% of the town's 50,000 voters cast ballots the number of votes cast is:

($ \frac{47}{100} $) x 50,000 = $ \frac{2,350,000}{100} $ = 23,500

The mayor got 58% of the votes cast which is:

($ \frac{58}{100} $) x 23,500 = $ \frac{1,363,000}{100} $ = 13,630 votes.

A bread recipe calls for 3$\frac{3}{4}$ cups of flour. If you only have 1 cup, how much more flour is needed?

62% Answer Correctly

	1$\frac{1}{2}$ cups
	2$\frac{3}{4}$ cups
	1 cups
	1$\frac{3}{4}$ cups

Solution

The amount of flour you need is (3$\frac{3}{4}$ - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

($ \frac{30}{8} $ - $ \frac{8}{8} $) cups
$ \frac{22}{8} $ cups
2$\frac{3}{4}$ cups

	1\(\frac{1}{2}\) cups
	2\(\frac{3}{4}\) cups
	1 cups
	1\(\frac{3}{4}\) cups

	\({1 \over 2}\)
	1
	-1
	0