ASVAB Arithmetic Reasoning Practice Test 546941 Results

Your Results Global Average
Questions 5 5
Correct 0 2.85
Score 0% 57%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $41, how much will he pay for both shirts?

57% Answer Correctly
$36.90
$59.45
$77.90
$4.10

Solution

By buying two shirts, Frank will save $41 x \( \frac{10}{100} \) = \( \frac{$41 x 10}{100} \) = \( \frac{$410}{100} \) = $4.10 on the second shirt.

So, his total cost will be
$41.00 + ($41.00 - $4.10)
$41.00 + $36.90
$77.90


2

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

55% Answer Correctly

commutative property for division

distributive property for division

commutative property for multiplication

distributive property for multiplication


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


3

A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.

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

49% Answer Correctly
104.5
106.7
114.7
96.6

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:

\( \frac{9}{100} \) x 7 = \( \frac{9 \times 7}{100} \) = \( \frac{63}{100} \) = 0.63 errors per hour

So, in an average hour, the machine will produce 7 - 0.63 = 6.37 error free parts.

The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 6.37 = 114.7 error free parts were produced yesterday.


4

What is \( 9 \)\( \sqrt{8} \) - \( 4 \)\( \sqrt{2} \)

38% Answer Correctly
5\( \sqrt{4} \)
36\( \sqrt{2} \)
14\( \sqrt{2} \)
36\( \sqrt{16} \)

Solution

To subtract these radicals together their radicands must be the same:

9\( \sqrt{8} \) - 4\( \sqrt{2} \)
9\( \sqrt{4 \times 2} \) - 4\( \sqrt{2} \)
9\( \sqrt{2^2 \times 2} \) - 4\( \sqrt{2} \)
(9)(2)\( \sqrt{2} \) - 4\( \sqrt{2} \)
18\( \sqrt{2} \) - 4\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

18\( \sqrt{2} \) - 4\( \sqrt{2} \)
(18 - 4)\( \sqrt{2} \)
14\( \sqrt{2} \)


5

If a car travels 200 miles in 8 hours, what is the average speed?

86% Answer Correctly
25 mph
30 mph
55 mph
40 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 = \( \frac{200mi}{8h} \)
25 mph