ASVAB Arithmetic Reasoning Practice Test 749424 Results

Your Results Global Average
Questions 5 5
Correct 0 3.77
Score 0% 75%

Review

1

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

70% Answer Correctly
1\(\frac{1}{3}\)
\(\frac{6}{7}\)
\(\frac{2}{9}\)
1\(\frac{1}{2}\)

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:

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


2

4! = ?

85% Answer Correctly

4 x 3

5 x 4 x 3 x 2 x 1

4 x 3 x 2 x 1

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

Ezra loaned Charlie $1,500 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$63
$77
$22
$75

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 $1,500
i = 0.05 x $1,500
i = $75


4

Which of the following is not an integer?

77% Answer Correctly

-1

1

0

\({1 \over 2}\)


Solution

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


5

Which of the following is an improper fraction?

70% Answer Correctly

\({a \over 5} \)

\(1 {2 \over 5} \)

\({2 \over 5} \)

\({7 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.