ASVAB Arithmetic Reasoning Practice Test 388591 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $35, how much money will he save?

70% Answer Correctly
$5.25
$14.00
$1.75
$8.75

Solution

By buying two shirts, Damon will save $35 x \( \frac{15}{100} \) = \( \frac{$35 x 15}{100} \) = \( \frac{$525}{100} \) = $5.25 on the second shirt.


2

If a car travels 600 miles in 8 hours, what is the average speed?

86% Answer Correctly
50 mph
70 mph
45 mph
75 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 = \( \frac{600mi}{8h} \)
75 mph


3

What is \( \frac{8}{4} \) - \( \frac{9}{10} \)?

61% Answer Correctly
\( \frac{5}{12} \)
1\(\frac{1}{10}\)
1 \( \frac{3}{7} \)
1 \( \frac{9}{20} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{8 x 5}{4 x 5} \) - \( \frac{9 x 2}{10 x 2} \)

\( \frac{40}{20} \) - \( \frac{18}{20} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{40 - 18}{20} \) = \( \frac{22}{20} \) = 1\(\frac{1}{10}\)


4

What is \( \frac{3}{5} \) ÷ \( \frac{4}{5} \)?

68% Answer Correctly
3\(\frac{3}{4}\)
\(\frac{1}{4}\)
\(\frac{1}{36}\)
\(\frac{3}{4}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{5} \) ÷ \( \frac{4}{5} \) = \( \frac{3}{5} \) x \( \frac{5}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{5} \) x \( \frac{5}{4} \) = \( \frac{3 x 5}{5 x 4} \) = \( \frac{15}{20} \) = \(\frac{3}{4}\)


5

What is \( \sqrt{\frac{36}{16}} \)?

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

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:

\( \sqrt{\frac{36}{16}} \)
\( \frac{\sqrt{36}}{\sqrt{16}} \)
\( \frac{\sqrt{6^2}}{\sqrt{4^2}} \)
\( \frac{6}{4} \)
1\(\frac{1}{2}\)