ASVAB Arithmetic Reasoning Practice Test 81752 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.46
Score	0%	69%

Review

What is $ \frac{4\sqrt{6}}{2\sqrt{3}} $?

71% Answer Correctly

	2 $ \sqrt{\frac{1}{2}} $
	2 $ \sqrt{2} $
	$\frac{1}{2}$ $ \sqrt{\frac{1}{2}} $
	$\frac{1}{2}$ $ \sqrt{2} $

Solution

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

$ \frac{4\sqrt{6}}{2\sqrt{3}} $
$ \frac{4}{2} $ $ \sqrt{\frac{6}{3}} $
2 $ \sqrt{2} $

How many 2$\frac{1}{2}$ gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?

52% Answer Correctly

	10
	9
	5
	6

Solution

To fill a 25 gallon tank exactly halfway you'll need 12$\frac{1}{2}$ gallons of fuel. Each fuel can holds 2$\frac{1}{2}$ gallons so:

cans = $ \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} $ = 5

Which of the following is not a prime number?

65% Answer Correctly

	5
	7
	9
	2

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.

If a car travels 405 miles in 9 hours, what is the average speed?

86% Answer Correctly

	35 mph
	30 mph
	75 mph
	45 mph

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}} $
speed = $ \frac{405mi}{9h} $
45 mph

Charlie loaned Frank $700 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$7
	$18
	$63
	$72

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $700
i = 0.09 x $700
i = $63

	2 \( \sqrt{\frac{1}{2}} \)
	2 \( \sqrt{2} \)
	\(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \)
	\(\frac{1}{2}\) \( \sqrt{2} \)