ASVAB Arithmetic Reasoning Practice Test 221133 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
1:6
9:2
3:1
1:1

Solution

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.


2

Find the average of the following numbers: 14, 10, 13, 11.

74% Answer Correctly
12
8
10
11

Solution

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

\( \frac{14 + 10 + 13 + 11}{4} \) = \( \frac{48}{4} \) = 12


3

Ezra loaned April $600 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$636
$630
$624
$618

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 $600
i = 0.05 x $600

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $600 + $30
total = $630


4

Which of the following is not an integer?

77% Answer Correctly

0

-1

1

\({1 \over 2}\)


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


5

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = 7 or a = -7

a = -7

none of these is correct

a = 7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).