ASVAB Arithmetic Reasoning Practice Test 278905 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.89
Score	0%	58%

Review

The total water usage for a city is 5,000 gallons each day. Of that total, 27% is for personal use and 54% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	1,350
	10,200
	1,550
	6,300

Solution

54% of the water consumption is industrial use and 27% is personal use so (54% - 27%) = 27% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 5,000 gallons = 1,350 gallons.

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% 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

	34
	24
	22
	50

Solution

If the guard hits 60% of his shots and takes 20 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{60}{100} \) = \( \frac{60 x 20}{100} \) = \( \frac{1200}{100} \) = 12 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 = \( \frac{12}{\frac{50}{100}} \) = 12 x \( \frac{100}{50} \) = \( \frac{12 x 100}{50} \) = \( \frac{1200}{50} \) = 24 shots

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

What is 6\( \sqrt{2} \) x 2\( \sqrt{3} \)?

41% Answer Correctly

	12\( \sqrt{5} \)
	12\( \sqrt{3} \)
	8\( \sqrt{6} \)
	12\( \sqrt{6} \)

Solution

To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{2} \) x 2\( \sqrt{3} \)
(6 x 2)\( \sqrt{2 \times 3} \)
12\( \sqrt{6} \)

What is the greatest common factor of 64 and 28?

77% Answer Correctly

	13
	26
	9
	4

Solution

The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 64 and 28 have in common.

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

	greatest common multiple
	absolute value
	greatest common factor
	least common multiple

Solution

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