ASVAB Arithmetic Reasoning Practice Test 466151 Results

Your Results Global Average
Questions 5 5
Correct 0 2.78
Score 0% 56%

Review

1

Which of these numbers is a factor of 40?

68% Answer Correctly
23
40
2
14

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.


2

A triathlon course includes a 200m swim, a 50.8km bike ride, and a 11.0km run. What is the total length of the race course?

69% Answer Correctly
67.5km
59km
40.7km
62km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 50.8km + 11.0km
total distance = 62km


3

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?

52% Answer Correctly
8
2
7
2

Solution

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2


4

What is \( 9 \)\( \sqrt{27} \) - \( 3 \)\( \sqrt{3} \)

38% Answer Correctly
27\( \sqrt{81} \)
27\( \sqrt{27} \)
6\( \sqrt{27} \)
24\( \sqrt{3} \)

Solution

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

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

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

27\( \sqrt{3} \) - 3\( \sqrt{3} \)
(27 - 3)\( \sqrt{3} \)
24\( \sqrt{3} \)


5

If a mayor is elected with 64% of the votes cast and 77% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
19,096
12,890
15,277
18,141

Solution

If 77% of the town's 31,000 voters cast ballots the number of votes cast is:

(\( \frac{77}{100} \)) x 31,000 = \( \frac{2,387,000}{100} \) = 23,870

The mayor got 64% of the votes cast which is:

(\( \frac{64}{100} \)) x 23,870 = \( \frac{1,527,680}{100} \) = 15,277 votes.