ASVAB Arithmetic Reasoning Practice Test 821526 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

What is \( \sqrt{\frac{49}{49}} \)?

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

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:

\( \sqrt{\frac{49}{49}} \)
\( \frac{\sqrt{49}}{\sqrt{49}} \)
\( \frac{\sqrt{7^2}}{\sqrt{7^2}} \)
1


2

4! = ?

85% Answer Correctly

3 x 2 x 1

4 x 3 x 2 x 1

4 x 3

5 x 4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


3

Jennifer scored 96% on her final exam. If each question was worth 3 points and there were 240 possible points on the exam, how many questions did Jennifer answer correctly?

57% Answer Correctly
69
90
77
89

Solution

Jennifer scored 96% on the test meaning she earned 96% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.96 = 231 points. Each question is worth 3 points so she got \( \frac{231}{3} \) = 77 questions right.


4

Ezra loaned Jennifer $1,100 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$1,155
$1,177
$1,144
$1,188

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 $1,100
i = 0.04 x $1,100

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $1,100 + $44
total = $1,144


5

If a mayor is elected with 56% of the votes cast and 38% of a town's 45,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
14,193
9,576
14,877
12,996

Solution

If 38% of the town's 45,000 voters cast ballots the number of votes cast is:

(\( \frac{38}{100} \)) x 45,000 = \( \frac{1,710,000}{100} \) = 17,100

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 17,100 = \( \frac{957,600}{100} \) = 9,576 votes.