ASVAB Arithmetic Reasoning Practice Test 395851 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

4! = ?

85% Answer Correctly

3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


2

Which of the following is not a prime number?

65% Answer Correctly

2

9

7

5


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


3

What is 3\( \sqrt{5} \) x 5\( \sqrt{6} \)?

41% Answer Correctly
8\( \sqrt{30} \)
15\( \sqrt{11} \)
15\( \sqrt{30} \)
15\( \sqrt{5} \)

Solution

To multiply terms with radicals, multiply the coefficients and radicands separately:

3\( \sqrt{5} \) x 5\( \sqrt{6} \)
(3 x 5)\( \sqrt{5 \times 6} \)
15\( \sqrt{30} \)


4

A triathlon course includes a 300m swim, a 40.5km bike ride, and a 15.6km run. What is the total length of the race course?

69% Answer Correctly
38.9km
31.8km
56.4km
57.6km

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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 40.5km + 15.6km
total distance = 56.4km


5

Solve 2 + (3 + 4) ÷ 2 x 5 - 42

52% Answer Correctly
1\(\frac{1}{8}\)
2
3\(\frac{1}{2}\)
\(\frac{3}{8}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (3 + 4) ÷ 2 x 5 - 42
P: 2 + (7) ÷ 2 x 5 - 42
E: 2 + 7 ÷ 2 x 5 - 16
MD: 2 + \( \frac{7}{2} \) x 5 - 16
MD: 2 + \( \frac{35}{2} \) - 16
AS: \( \frac{4}{2} \) + \( \frac{35}{2} \) - 16
AS: \( \frac{39}{2} \) - 16
AS: \( \frac{39 - 32}{2} \)
\( \frac{7}{2} \)
3\(\frac{1}{2}\)