ASVAB Arithmetic Reasoning Practice Test 82428 Results

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

Review

1

Find the average of the following numbers: 10, 2, 7, 5.

75% Answer Correctly
6
5
8
4

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{10 + 2 + 7 + 5}{4} \) = \( \frac{24}{4} \) = 6


2

On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 30% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

42% Answer Correctly
24
12
21
15

Solution
If the guard hits 30% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{30}{100} \) = \( \frac{30 x 20}{100} \) = \( \frac{600}{100} \) = 6 shots

The center makes 25% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{6}{\frac{25}{100}} \) = 6 x \( \frac{100}{25} \) = \( \frac{6 x 100}{25} \) = \( \frac{600}{25} \) = 24 shots

to make the same number of shots as the guard and thus score the same number of points.


3

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

greatest common factor

absolute value

least common factor

least common multiple


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


4

How many 14-passenger vans will it take to drive all 40 members of the football team to an away game?

81% Answer Correctly
5 vans
6 vans
3 vans
10 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{40}{14} \) = 2\(\frac{6}{7}\)

So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

greatest common factor

least common multiple

absolute value


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.