ASVAB Arithmetic Reasoning Practice Test 91521 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.79
Score	0%	56%

Review

How many hours does it take a car to travel 270 miles at an average speed of 45 miles per hour?

85% Answer Correctly

	6 hours
	3 hours
	1 hour
	7 hours

Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{270mi}{45mph} \)
6 hours

Which of the following statements about exponents is false?

47% Answer Correctly

	all of these are false
	b¹ = b
	b¹ = 1
	b⁰ = 1

Solution

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

What is 7\( \sqrt{6} \) x 6\( \sqrt{9} \)?

41% Answer Correctly

	42\( \sqrt{15} \)
	42\( \sqrt{6} \)
	126\( \sqrt{6} \)
	13\( \sqrt{54} \)

Solution

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

7\( \sqrt{6} \) x 6\( \sqrt{9} \)
(7 x 6)\( \sqrt{6 \times 9} \)
42\( \sqrt{54} \)

Now we need to simplify the radical:

42\( \sqrt{54} \)
42\( \sqrt{6 \times 9} \)
42\( \sqrt{6 \times 3^2} \)
(42)(3)\( \sqrt{6} \)
126\( \sqrt{6} \)

A tiger in a zoo has consumed 72 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 104 pounds?

56% Answer Correctly

	2
	4
	3
	11

Solution

If the tiger has consumed 72 pounds of food in 9 days that's \( \frac{72}{9} \) = 8 pounds of food per day. The tiger needs to consume 104 - 72 = 32 more pounds of food to reach 104 pounds total. At 8 pounds of food per day that's \( \frac{32}{8} \) = 4 more days.

53% Answer Correctly

	0.5
	1
	5.0
	1.8