ASVAB Arithmetic Reasoning Practice Test 522789 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

What is \( \frac{4}{6} \) ÷ \( \frac{1}{6} \)?

68% Answer Correctly
4
\(\frac{8}{63}\)
24
\(\frac{1}{36}\)

Solution

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

\( \frac{4}{6} \) ÷ \( \frac{1}{6} \) = \( \frac{4}{6} \) x \( \frac{6}{1} \)

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

\( \frac{4}{6} \) x \( \frac{6}{1} \) = \( \frac{4 x 6}{6 x 1} \) = \( \frac{24}{6} \) = 4


2

4! = ?

85% Answer Correctly

4 x 3

3 x 2 x 1

4 x 3 x 2 x 1

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

In a class of 26 students, 13 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
18
17
6
26

Solution

The number of students taking German or Spanish is 13 + 12 = 25. Of that group of 25, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 25 - 5 = 20 who are taking at least one language. 26 - 20 = 6 students who are not taking either language.


4

Which of the following is a mixed number?

82% Answer Correctly

\({5 \over 7} \)

\(1 {2 \over 5} \)

\({a \over 5} \)

\({7 \over 5} \)


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.


5

53% Answer Correctly
6.3
3.2
1.0
1

Solution


1