ASVAB Arithmetic Reasoning Practice Test 759898 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Bob buys two shirts, each with a regular price of $17, how much will he pay for both shirts?

57% Answer Correctly
$11.90
$22.95
$5.10
$28.90
Solution

By buying two shirts, Bob will save $17 x \( \frac{30}{100} \) = \( \frac{$17 x 30}{100} \) = \( \frac{$510}{100} \) = $5.10 on the second shirt.

So, his total cost will be
$17.00 + ($17.00 - $5.10)
$17.00 + $11.90
$28.90

2

On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 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
47
33
63
38
Solution
If the guard hits 50% of his shots and takes 30 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots

The center makes 45% 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 = \( \frac{15}{\frac{45}{100}} \) = 15 x \( \frac{100}{45} \) = \( \frac{15 x 100}{45} \) = \( \frac{1500}{45} \) = 33 shots

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

3

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common factor

greatest common multiple

least common multiple
Solution

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

4

What is \( \frac{5x^8}{6x^2} \)?

60% Answer Correctly
\(\frac{5}{6}\)x-6
\(\frac{5}{6}\)x10
\(\frac{5}{6}\)x4
\(\frac{5}{6}\)x6
Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{5x^8}{6x^2} \)
\( \frac{5}{6} \) x(8 - 2)
\(\frac{5}{6}\)x6

5

If a car travels 160 miles in 4 hours, what is the average speed?

86% Answer Correctly
60 mph
70 mph
40 mph
30 mph
Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{160mi}{4h} \)
40 mph