ASVAB Arithmetic Reasoning Practice Test 929189 Results

Your Results Global Average
Questions 5 5
Correct 0 3.00
Score 0% 60%

Review

1

Alex loaned Jennifer $500 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$505
$510
$515
$540
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 $500
i = 0.02 x $500

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

total = $500 + $10
total = $510

2

What is \( 9 \)\( \sqrt{125} \) + \( 8 \)\( \sqrt{5} \)

35% Answer Correctly
72\( \sqrt{5} \)
17\( \sqrt{625} \)
72\( \sqrt{625} \)
53\( \sqrt{5} \)
Solution

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

9\( \sqrt{125} \) + 8\( \sqrt{5} \)
9\( \sqrt{25 \times 5} \) + 8\( \sqrt{5} \)
9\( \sqrt{5^2 \times 5} \) + 8\( \sqrt{5} \)
(9)(5)\( \sqrt{5} \) + 8\( \sqrt{5} \)
45\( \sqrt{5} \) + 8\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

45\( \sqrt{5} \) + 8\( \sqrt{5} \)
(45 + 8)\( \sqrt{5} \)
53\( \sqrt{5} \)

3

In a class of 25 students, 14 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 7 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
15
21
5
16
Solution

The number of students taking German or Spanish is 14 + 13 = 27. Of that group of 27, 7 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 27 - 7 = 20 who are taking at least one language. 25 - 20 = 5 students who are not taking either language.

4

Find the average of the following numbers: 15, 9, 14, 10.

74% Answer Correctly
16
12
7
11
Solution

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

\( \frac{15 + 9 + 14 + 10}{4} \) = \( \frac{48}{4} \) = 12

5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $46, how much will he pay for both shirts?

57% Answer Correctly
$6.90
$39.10
$85.10
$48.30
Solution

By buying two shirts, Damon will save $46 x \( \frac{15}{100} \) = \( \frac{$46 x 15}{100} \) = \( \frac{$690}{100} \) = $6.90 on the second shirt.

So, his total cost will be
$46.00 + ($46.00 - $6.90)
$46.00 + $39.10
$85.10