ASVAB Arithmetic Reasoning Practice Test 822194 Results

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

Review

1

What is \( 2 \)\( \sqrt{28} \) - \( 3 \)\( \sqrt{7} \)

38% Answer Correctly
6\( \sqrt{4} \)
\( \sqrt{7} \)
6\( \sqrt{196} \)
-1\( \sqrt{7} \)

Solution

To subtract these radicals together their radicands must be the same:

2\( \sqrt{28} \) - 3\( \sqrt{7} \)
2\( \sqrt{4 \times 7} \) - 3\( \sqrt{7} \)
2\( \sqrt{2^2 \times 7} \) - 3\( \sqrt{7} \)
(2)(2)\( \sqrt{7} \) - 3\( \sqrt{7} \)
4\( \sqrt{7} \) - 3\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

4\( \sqrt{7} \) - 3\( \sqrt{7} \)
(4 - 3)\( \sqrt{7} \)
\( \sqrt{7} \)


2

Damon loaned Monty $100 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$50
$88
$7
$25

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 $100
i = 0.07 x $100
i = $7


3

Which of the following is not an integer?

77% Answer Correctly

0

1

\({1 \over 2}\)

-1


Solution

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


4

What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?

92% Answer Correctly
26
21
15
13

Solution

The equation for this sequence is:

an = an-1 + 4

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 + 4
a6 = 17 + 4
a6 = 21


5

10 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
9
3
5
2

Solution

There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.