ASVAB Arithmetic Reasoning Practice Test 998815 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

What is the least common multiple of 6 and 12?

72% Answer Correctly
24
65
10
12

Solution

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 have in common.


2

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

56% Answer Correctly

distributive property for division

commutative property for division

commutative property for multiplication

distributive property for multiplication


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

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $48, how much will he pay for both shirts?

57% Answer Correctly
$74.40
$21.60
$57.60
$60.00

Solution

By buying two shirts, Bob will save $48 x \( \frac{45}{100} \) = \( \frac{$48 x 45}{100} \) = \( \frac{$2160}{100} \) = $21.60 on the second shirt.

So, his total cost will be
$48.00 + ($48.00 - $21.60)
$48.00 + $26.40
$74.40


4

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

least common multiple

greatest common multiple

greatest common factor

absolute value


Solution

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


5

Frank loaned Alex $200 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$63
$36
$24
$12

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $200
i = 0.06 x $200
i = $12