ASVAB Arithmetic Reasoning Practice Test 787756 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 10 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
8
14
17
11

Solution
If the guard hits 45% of his shots and takes 10 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{45}{100} \) = \( \frac{45 x 10}{100} \) = \( \frac{450}{100} \) = 4 shots

The center makes 35% 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 = \( \frac{4}{\frac{35}{100}} \) = 4 x \( \frac{100}{35} \) = \( \frac{4 x 100}{35} \) = \( \frac{400}{35} \) = 11 shots

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


2

Frank loaned Diane $100 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$103
$105
$106
$104

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $100
i = 0.05 x $100

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $100 + $5
total = $105


3

What is \( \sqrt{\frac{64}{9}} \)?

70% Answer Correctly
2
1\(\frac{3}{5}\)
2\(\frac{2}{3}\)
\(\frac{5}{8}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{9}} \)
\( \frac{\sqrt{64}}{\sqrt{9}} \)
\( \frac{\sqrt{8^2}}{\sqrt{3^2}} \)
\( \frac{8}{3} \)
2\(\frac{2}{3}\)


4

Which of these numbers is a factor of 56?

68% Answer Correctly
15
56
16
1

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.


5

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

56% Answer Correctly

least common factor

least common multiple

absolute value

greatest common factor


Solution

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