ASVAB Arithmetic Reasoning Practice Test 850451 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.20
Score	0%	64%

Review

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% of his shots. If the guard takes 25 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

	39
	34
	59
	35

Solution

If the guard hits 70% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{70}{100} \) = \( \frac{70 x 25}{100} \) = \( \frac{1750}{100} \) = 17 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 = \( \frac{17}{\frac{50}{100}} \) = 17 x \( \frac{100}{50} \) = \( \frac{17 x 100}{50} \) = \( \frac{1700}{50} \) = 34 shots

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

Convert b^-2 to remove the negative exponent.

68% Answer Correctly

	\( \frac{2}{b} \)
	\( \frac{-1}{-2b^{2}} \)
	\( \frac{-1}{b^{-2}} \)
	\( \frac{1}{b^2} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

8 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly

	6
	9
	8
	4

Solution

There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 8 people needing transportation leaving 8 - 4 = 4 who will have to find other transportation.

What is \( \frac{3}{5} \) ÷ \( \frac{3}{8} \)?

68% Answer Correctly

	1\(\frac{3}{5}\)
	\(\frac{3}{35}\)
	\(\frac{3}{28}\)
	\(\frac{2}{15}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{5} \) ÷ \( \frac{3}{8} \) = \( \frac{3}{5} \) x \( \frac{8}{3} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{5} \) x \( \frac{8}{3} \) = \( \frac{3 x 8}{5 x 3} \) = \( \frac{24}{15} \) = 1\(\frac{3}{5}\)

Which of the following is not a prime number?

65% Answer Correctly

	5
	2
	7
	9

Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.