ASVAB Arithmetic Reasoning Practice Test 244065 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

If there were a total of 300 raffle tickets sold and you bought 6 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
19%
3%
2%
1%

Solution

You have 6 out of the total of 300 raffle tickets sold so you have a (\( \frac{6}{300} \)) x 100 = \( \frac{6 \times 100}{300} \) = \( \frac{600}{300} \) = 2% chance to win the raffle.


2

Solve 5 + (4 + 2) ÷ 2 x 3 - 42

53% Answer Correctly
2
\(\frac{7}{9}\)
-2
\(\frac{6}{7}\)

Solution

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

5 + (4 + 2) ÷ 2 x 3 - 42
P: 5 + (6) ÷ 2 x 3 - 42
E: 5 + 6 ÷ 2 x 3 - 16
MD: 5 + \( \frac{6}{2} \) x 3 - 16
MD: 5 + \( \frac{18}{2} \) - 16
AS: \( \frac{10}{2} \) + \( \frac{18}{2} \) - 16
AS: \( \frac{28}{2} \) - 16
AS: \( \frac{28 - 32}{2} \)
\( \frac{-4}{2} \)
-2


3

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

56% Answer Correctly

distributive property for division

commutative property for division

commutative property for multiplication

distributive property for multiplication


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


4

4! = ?

85% Answer Correctly

5 x 4 x 3 x 2 x 1

3 x 2 x 1

4 x 3 x 2 x 1

4 x 3


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.


5

A triathlon course includes a 200m swim, a 30.8km bike ride, and a 10.2km run. What is the total length of the race course?

69% Answer Correctly
37.7km
35km
41.2km
57.4km

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 + 30.8km + 10.2km
total distance = 41.2km