ASVAB Arithmetic Reasoning Practice Test 489096 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

Monty loaned Jennifer $500 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$540
$515
$535
$520

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 = 0.04 x $500

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

total = $500 + $20
total = $520


2

If there were a total of 50 raffle tickets sold and you bought 3 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
19%
7%
14%
2%

Solution

You have 3 out of the total of 50 raffle tickets sold so you have a (\( \frac{3}{50} \)) x 100 = \( \frac{3 \times 100}{50} \) = \( \frac{300}{50} \) = 7% chance to win the raffle.


3

What is \( 9 \)\( \sqrt{18} \) + \( 2 \)\( \sqrt{2} \)

35% Answer Correctly
29\( \sqrt{2} \)
11\( \sqrt{18} \)
11\( \sqrt{2} \)
11\( \sqrt{36} \)

Solution

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

9\( \sqrt{18} \) + 2\( \sqrt{2} \)
9\( \sqrt{9 \times 2} \) + 2\( \sqrt{2} \)
9\( \sqrt{3^2 \times 2} \) + 2\( \sqrt{2} \)
(9)(3)\( \sqrt{2} \) + 2\( \sqrt{2} \)
27\( \sqrt{2} \) + 2\( \sqrt{2} \)

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

27\( \sqrt{2} \) + 2\( \sqrt{2} \)
(27 + 2)\( \sqrt{2} \)
29\( \sqrt{2} \)


4

What is \( \frac{3}{5} \) ÷ \( \frac{4}{8} \)?

68% Answer Correctly
\(\frac{8}{45}\)
6
\(\frac{1}{49}\)
1\(\frac{1}{5}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{3}{5} \) x \( \frac{8}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{5} \) x \( \frac{8}{4} \) = \( \frac{3 x 8}{5 x 4} \) = \( \frac{24}{20} \) = 1\(\frac{1}{5}\)


5

The total water usage for a city is 40,000 gallons each day. Of that total, 12% is for personal use and 44% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
4,200
1,500
7,000
12,800

Solution

44% of the water consumption is industrial use and 12% is personal use so (44% - 12%) = 32% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 40,000 gallons = 12,800 gallons.