ASVAB Arithmetic Reasoning Practice Test 735836 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.96
Score	0%	59%

Review

A tiger in a zoo has consumed 90 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 165 pounds?

56% Answer Correctly

	10
	7
	3
	5

Solution

If the tiger has consumed 90 pounds of food in 6 days that's \( \frac{90}{6} \) = 15 pounds of food per day. The tiger needs to consume 165 - 90 = 75 more pounds of food to reach 165 pounds total. At 15 pounds of food per day that's \( \frac{75}{15} \) = 5 more days.

What is (x⁴)⁵?

80% Answer Correctly

	x²⁰
	x
	x^-1
	5x⁴

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(x⁴)⁵
x^{(4 * 5)}
x²⁰

On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 55% 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

	32
	33
	42
	37

Solution

If the guard hits 55% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{55}{100} \) = \( \frac{55 x 25}{100} \) = \( \frac{1375}{100} \) = 13 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 = \( \frac{13}{\frac{40}{100}} \) = 13 x \( \frac{100}{40} \) = \( \frac{13 x 100}{40} \) = \( \frac{1300}{40} \) = 33 shots

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

How many 14-passenger vans will it take to drive all 98 members of the football team to an away game?

81% Answer Correctly

	13 vans
	6 vans
	7 vans
	15 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{98}{14} \) = 7

What is \( 4 \)\( \sqrt{48} \) + \( 6 \)\( \sqrt{3} \)

35% Answer Correctly

	10\( \sqrt{48} \)
	24\( \sqrt{16} \)
	22\( \sqrt{3} \)
	24\( \sqrt{144} \)

Solution

To add these radicals together their radicands must be the same:

4\( \sqrt{48} \) + 6\( \sqrt{3} \)
4\( \sqrt{16 \times 3} \) + 6\( \sqrt{3} \)
4\( \sqrt{4^2 \times 3} \) + 6\( \sqrt{3} \)
(4)(4)\( \sqrt{3} \) + 6\( \sqrt{3} \)
16\( \sqrt{3} \) + 6\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

16\( \sqrt{3} \) + 6\( \sqrt{3} \)
(16 + 6)\( \sqrt{3} \)
22\( \sqrt{3} \)