ASVAB Arithmetic Reasoning Practice Test 825034 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

What is \( \frac{1}{5} \) ÷ \( \frac{3}{8} \)?

68% Answer Correctly
\(\frac{6}{35}\)
\(\frac{1}{16}\)
\(\frac{8}{15}\)
1\(\frac{3}{5}\)

Solution

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

\( \frac{1}{5} \) ÷ \( \frac{3}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{3} \)

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

\( \frac{1}{5} \) x \( \frac{8}{3} \) = \( \frac{1 x 8}{5 x 3} \) = \( \frac{8}{15} \) = \(\frac{8}{15}\)


2

If a mayor is elected with 83% of the votes cast and 34% of a town's 32,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
9,030
7,616
6,202
9,683

Solution

If 34% of the town's 32,000 voters cast ballots the number of votes cast is:

(\( \frac{34}{100} \)) x 32,000 = \( \frac{1,088,000}{100} \) = 10,880

The mayor got 83% of the votes cast which is:

(\( \frac{83}{100} \)) x 10,880 = \( \frac{903,040}{100} \) = 9,030 votes.


3

What is \( \frac{4}{7} \) x \( \frac{3}{7} \)?

72% Answer Correctly
\(\frac{1}{5}\)
\(\frac{1}{56}\)
\(\frac{1}{21}\)
\(\frac{12}{49}\)

Solution

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

\( \frac{4}{7} \) x \( \frac{3}{7} \) = \( \frac{4 x 3}{7 x 7} \) = \( \frac{12}{49} \) = \(\frac{12}{49}\)


4

Jennifer scored 85% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?

57% Answer Correctly
23
34
42
24

Solution

Jennifer scored 85% on the test meaning she earned 85% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.85 = 102 points. Each question is worth 3 points so she got \( \frac{102}{3} \) = 34 questions right.


5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $48, how much will he pay for both shirts?

57% Answer Correctly
$74.40
$50.40
$62.40
$21.60

Solution

By buying two shirts, Bob will save $48 x \( \frac{45}{100} \) = \( \frac{$48 x 45}{100} \) = \( \frac{$2160}{100} \) = $21.60 on the second shirt.

So, his total cost will be
$48.00 + ($48.00 - $21.60)
$48.00 + $26.40
$74.40