ASVAB Arithmetic Reasoning Practice Test 63399 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

Latoya scored 91% on her final exam. If each question was worth 2 points and there were 200 possible points on the exam, how many questions did Latoya answer correctly?

57% Answer Correctly
94
103
91
77

Solution

Latoya scored 91% on the test meaning she earned 91% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.91 = 182 points. Each question is worth 2 points so she got \( \frac{182}{2} \) = 91 questions right.


2

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% 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
31
19
22
46

Solution
If the guard hits 55% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{55}{100} \) = \( \frac{55 x 20}{100} \) = \( \frac{1100}{100} \) = 11 shots

The center makes 50% 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 = \( \frac{11}{\frac{50}{100}} \) = 11 x \( \frac{100}{50} \) = \( \frac{11 x 100}{50} \) = \( \frac{1100}{50} \) = 22 shots

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


3

Alex loaned Latoya $700 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$707
$714
$756
$735

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 $700
i = 0.02 x $700

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

total = $700 + $14
total = $714


4

Find the average of the following numbers: 16, 12, 17, 11.

75% Answer Correctly
14
17
15
18

Solution

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

\( \frac{16 + 12 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14


5

Which of these numbers is a factor of 32?

69% Answer Correctly
32
2
14
28

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.