ASVAB Arithmetic Reasoning Practice Test 193572 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Charlie buys two shirts, each with a regular price of $17, how much money will he save?

70% Answer Correctly
$5.10
$7.65
$4.25
$8.50

Solution

By buying two shirts, Charlie will save $17 x \( \frac{50}{100} \) = \( \frac{$17 x 50}{100} \) = \( \frac{$850}{100} \) = $8.50 on the second shirt.


2

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

56% Answer Correctly

greatest common factor

least common factor

absolute value

least common multiple


Solution

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


3

\({b + c \over a} = {b \over a} + {c \over a}\) 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


4

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common multiple

least common multiple

greatest common factor


Solution

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


5

What is \( \frac{3}{7} \) ÷ \( \frac{2}{6} \)?

68% Answer Correctly
\(\frac{1}{12}\)
\(\frac{1}{18}\)
1\(\frac{2}{7}\)
\(\frac{3}{20}\)

Solution

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

\( \frac{3}{7} \) ÷ \( \frac{2}{6} \) = \( \frac{3}{7} \) x \( \frac{6}{2} \)

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

\( \frac{3}{7} \) x \( \frac{6}{2} \) = \( \frac{3 x 6}{7 x 2} \) = \( \frac{18}{14} \) = 1\(\frac{2}{7}\)