ASVAB Arithmetic Reasoning Practice Test 74842 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

What is \( \frac{3}{7} \) x \( \frac{4}{8} \)?

72% Answer Correctly
\(\frac{1}{27}\)
\(\frac{3}{14}\)
\(\frac{2}{9}\)
\(\frac{8}{49}\)

Solution

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

\( \frac{3}{7} \) x \( \frac{4}{8} \) = \( \frac{3 x 4}{7 x 8} \) = \( \frac{12}{56} \) = \(\frac{3}{14}\)


2

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

greatest common factor

absolute value

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


3

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

least common factor

least common multiple

absolute value

greatest common factor


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


4

Solve 5 + (3 + 2) ÷ 2 x 5 - 32

52% Answer Correctly
1\(\frac{2}{7}\)
2\(\frac{1}{2}\)
4\(\frac{1}{2}\)
8\(\frac{1}{2}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (3 + 2) ÷ 2 x 5 - 32
P: 5 + (5) ÷ 2 x 5 - 32
E: 5 + 5 ÷ 2 x 5 - 9
MD: 5 + \( \frac{5}{2} \) x 5 - 9
MD: 5 + \( \frac{25}{2} \) - 9
AS: \( \frac{10}{2} \) + \( \frac{25}{2} \) - 9
AS: \( \frac{35}{2} \) - 9
AS: \( \frac{35 - 18}{2} \)
\( \frac{17}{2} \)
8\(\frac{1}{2}\)


5

Which of the following is an improper fraction?

70% Answer Correctly

\({2 \over 5} \)

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


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.