ASVAB Arithmetic Reasoning Practice Test 267251 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.83
Score	0%	57%

Review

If the ratio of home fans to visiting fans in a crowd is 2:1 and all 45,000 seats in a stadium are filled, how many home fans are in attendance?

49% Answer Correctly

	25,833
	31,667
	22,667
	30,000

Solution

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

45,000 fans x \( \frac{2}{3} \) = \( \frac{90000}{3} \) = 30,000 fans.

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?

52% Answer Correctly

	2
	4
	8
	6

Solution

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2

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.

Which of these numbers is a factor of 32?

69% Answer Correctly

	22
	32
	21
	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.

On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 50% 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

	30
	29
	35
	20

Solution

If the guard hits 50% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{50}{100} \) = \( \frac{50 x 25}{100} \) = \( \frac{1250}{100} \) = 12 shots

The center makes 40% 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 = \( \frac{12}{\frac{40}{100}} \) = 12 x \( \frac{100}{40} \) = \( \frac{12 x 100}{40} \) = \( \frac{1200}{40} \) = 30 shots

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