ASVAB Arithmetic Reasoning Practice Test 746030 Results

Your Results Global Average
Questions 5 5
Correct 0 3.58
Score 0% 72%

Review

1

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

56% Answer Correctly

commutative property for division

distributive property for multiplication

commutative property for multiplication

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


2

13 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
1
9
5
6

Solution

There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.


3

Which of these numbers is a factor of 48?

69% Answer Correctly
39
29
4
32

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.


4

Find the average of the following numbers: 17, 13, 16, 14.

75% Answer Correctly
12
19
15
11

Solution

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

\( \frac{17 + 13 + 16 + 14}{4} \) = \( \frac{60}{4} \) = 15


5

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\({5 \over 7} \)

\({a \over 5} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.