ASVAB Arithmetic Reasoning Practice Test 256945 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

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

56% Answer Correctly

least common multiple

least common factor

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.


2

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

55% Answer Correctly

commutative property for multiplication

distributive property for multiplication

distributive property for division

commutative property for division


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


3

Which of these numbers is a factor of 72?

68% Answer Correctly
12
40
4
48

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.


4

What is \( \frac{6y^5}{2y^4} \)?

60% Answer Correctly
\(\frac{1}{3}\)y9
3y
3y-1
\(\frac{1}{3}\)y

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{6y^5}{2y^4} \)
\( \frac{6}{2} \) y(5 - 4)
3y


5

Simplify \( \sqrt{20} \)

62% Answer Correctly
6\( \sqrt{10} \)
4\( \sqrt{5} \)
2\( \sqrt{5} \)
7\( \sqrt{10} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)