ASVAB Arithmetic Reasoning Practice Test 110754 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

Find the average of the following numbers: 13, 11, 15, 9.

75% Answer Correctly
14
10
8
12

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{13 + 11 + 15 + 9}{4} \) = \( \frac{48}{4} \) = 12


2

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

56% Answer Correctly

distributive property for multiplication

distributive property for division

commutative property for division

commutative 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

What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?

69% Answer Correctly
52
41
40
46

Solution

The equation for this sequence is:

an = an-1 + 3(n - 1)

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46


4

What is \( \frac{10\sqrt{16}}{5\sqrt{8}} \)?

71% Answer Correctly
2 \( \sqrt{\frac{1}{2}} \)
2 \( \sqrt{2} \)
\(\frac{1}{2}\) \( \sqrt{2} \)
\(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{10\sqrt{16}}{5\sqrt{8}} \)
\( \frac{10}{5} \) \( \sqrt{\frac{16}{8}} \)
2 \( \sqrt{2} \)


5

7 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
1
4
5
9

Solution

There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 7 people needing transportation leaving 7 - 6 = 1 who will have to find other transportation.