ASVAB Arithmetic Reasoning Practice Test 64689 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

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

56% Answer Correctly

least common factor

greatest common factor

least common multiple

absolute value


Solution

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


2

Solve 2 + (4 + 3) ÷ 5 x 3 - 42

52% Answer Correctly
1
-9\(\frac{4}{5}\)
2
1\(\frac{3}{5}\)

Solution

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

2 + (4 + 3) ÷ 5 x 3 - 42
P: 2 + (7) ÷ 5 x 3 - 42
E: 2 + 7 ÷ 5 x 3 - 16
MD: 2 + \( \frac{7}{5} \) x 3 - 16
MD: 2 + \( \frac{21}{5} \) - 16
AS: \( \frac{10}{5} \) + \( \frac{21}{5} \) - 16
AS: \( \frac{31}{5} \) - 16
AS: \( \frac{31 - 80}{5} \)
\( \frac{-49}{5} \)
-9\(\frac{4}{5}\)


3

Simplify \( \frac{16}{60} \).

77% Answer Correctly
\( \frac{1}{3} \)
\( \frac{5}{11} \)
\( \frac{4}{15} \)
\( \frac{1}{5} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{16}{60} \) = \( \frac{\frac{16}{4}}{\frac{60}{4}} \) = \( \frac{4}{15} \)


4

What is -9b3 - 4b3?

71% Answer Correctly
-13b3
-5b9
-5b-6
-13b-3

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-9b3 - 4b3
(-9 - 4)b3
-13b3


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

greatest common factor

least common multiple

absolute value


Solution

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