ASVAB Arithmetic Reasoning Practice Test 417862 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.87
Score	0%	57%

Review

What is $ 4 $$ \sqrt{50} $ - $ 4 $$ \sqrt{2} $

38% Answer Correctly

	0$ \sqrt{100} $
	16$ \sqrt{100} $
	0$ \sqrt{50} $
	16$ \sqrt{2} $

Solution

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

4$ \sqrt{50} $ - 4$ \sqrt{2} $
4$ \sqrt{25 \times 2} $ - 4$ \sqrt{2} $
4$ \sqrt{5^2 \times 2} $ - 4$ \sqrt{2} $
(4)(5)$ \sqrt{2} $ - 4$ \sqrt{2} $
20$ \sqrt{2} $ - 4$ \sqrt{2} $

Now that the radicands are identical, you can subtract them:

20$ \sqrt{2} $ - 4$ \sqrt{2} $
(20 - 4)$ \sqrt{2} $
16$ \sqrt{2} $

A triathlon course includes a 200m swim, a 30.3km bike ride, and a 6.5km run. What is the total length of the race course?

69% Answer Correctly

	48.8km
	39.6km
	37km
	67.8km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 30.3km + 6.5km
total distance = 37km

A tiger in a zoo has consumed 64 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 112 pounds?

56% Answer Correctly

	12
	11
	13
	6

Solution

If the tiger has consumed 64 pounds of food in 8 days that's $ \frac{64}{8} $ = 8 pounds of food per day. The tiger needs to consume 112 - 64 = 48 more pounds of food to reach 112 pounds total. At 8 pounds of food per day that's $ \frac{48}{8} $ = 6 more days.

Damon loaned Alex $700 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$56
	$40
	$42
	$36

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 = 0.06 x $700
i = $42

A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly

	37$\frac{1}{2}$%
	32$\frac{1}{2}$%
	22$\frac{1}{2}$%
	30%

Solution

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π($ \frac{d}{2} $)². If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by $ \frac{75\text{%}}{2} $ = 37$\frac{1}{2}$%

	0\( \sqrt{100} \)
	16\( \sqrt{100} \)
	0\( \sqrt{50} \)
	16\( \sqrt{2} \)

	37\(\frac{1}{2}\)%
	32\(\frac{1}{2}\)%
	22\(\frac{1}{2}\)%
	30%