ASVAB Arithmetic Reasoning Practice Test 755599 Results

Your Results Global Average
Questions 5 5
Correct 0 2.57
Score 0% 51%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Roger buys two shirts, each with a regular price of $42, how much will he pay for both shirts?

57% Answer Correctly
$56.70
$60.90
$71.40
$46.20

Solution

By buying two shirts, Roger will save $42 x \( \frac{30}{100} \) = \( \frac{$42 x 30}{100} \) = \( \frac{$1260}{100} \) = $12.60 on the second shirt.

So, his total cost will be
$42.00 + ($42.00 - $12.60)
$42.00 + $29.40
$71.40


2

If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?

55% Answer Correctly
1
18
16
19

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 28 - 12 = 16 new staff for the busy season.


3

What is \( 9 \)\( \sqrt{12} \) + \( 6 \)\( \sqrt{3} \)

35% Answer Correctly
54\( \sqrt{3} \)
24\( \sqrt{3} \)
54\( \sqrt{36} \)
15\( \sqrt{36} \)

Solution

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

9\( \sqrt{12} \) + 6\( \sqrt{3} \)
9\( \sqrt{4 \times 3} \) + 6\( \sqrt{3} \)
9\( \sqrt{2^2 \times 3} \) + 6\( \sqrt{3} \)
(9)(2)\( \sqrt{3} \) + 6\( \sqrt{3} \)
18\( \sqrt{3} \) + 6\( \sqrt{3} \)

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

18\( \sqrt{3} \) + 6\( \sqrt{3} \)
(18 + 6)\( \sqrt{3} \)
24\( \sqrt{3} \)


4

If a mayor is elected with 78% of the votes cast and 59% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
11,045
9,204
9,770
12,744

Solution

If 59% of the town's 24,000 voters cast ballots the number of votes cast is:

(\( \frac{59}{100} \)) x 24,000 = \( \frac{1,416,000}{100} \) = 14,160

The mayor got 78% of the votes cast which is:

(\( \frac{78}{100} \)) x 14,160 = \( \frac{1,104,480}{100} \) = 11,045 votes.


5

If there were a total of 350 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
6%
1%
15%
2%

Solution

You have 7 out of the total of 350 raffle tickets sold so you have a (\( \frac{7}{350} \)) x 100 = \( \frac{7 \times 100}{350} \) = \( \frac{700}{350} \) = 2% chance to win the raffle.