ASVAB Arithmetic Reasoning Practice Test 319563 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.49
Score	0%	70%

Review

Which of the following is not an integer?

77% Answer Correctly

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

Solution

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

If a car travels 520 miles in 8 hours, what is the average speed?

86% Answer Correctly

	35 mph
	65 mph
	15 mph
	30 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{520mi}{8h} \)
65 mph

A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.

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

49% Answer Correctly

	110.6
	121
	135.2
	176.4

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:

\( \frac{8}{100} \) x 7 = \( \frac{8 \times 7}{100} \) = \( \frac{56}{100} \) = 0.56 errors per hour

So, in an average hour, the machine will produce 7 - 0.56 = 6.4399999999999995 error free parts.

The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 6.4399999999999995 = 135.2 error free parts were produced yesterday.

Solve for \( \frac{3!}{2!} \)

66% Answer Correctly

	336
	3
	\( \frac{1}{72} \)
	42

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{3!}{2!} \)
\( \frac{3 \times 2 \times 1}{2 \times 1} \)
\( \frac{3}{1} \)
3

What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?

68% Answer Correctly

	46
	51
	44
	48

Solution

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46