ASVAB Arithmetic Reasoning Practice Test 725687 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.14
Score	0%	63%

Review

Bob loaned Alex $1,400 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$14
	$50
	$3
	$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 $1,400
i = 0.01 x $1,400
i = $14

What is $ 2 $$ \sqrt{175} $ - $ 6 $$ \sqrt{7} $

38% Answer Correctly

	12$ \sqrt{7} $
	-4$ \sqrt{175} $
	-4$ \sqrt{1225} $
	4$ \sqrt{7} $

Solution

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

2$ \sqrt{175} $ - 6$ \sqrt{7} $
2$ \sqrt{25 \times 7} $ - 6$ \sqrt{7} $
2$ \sqrt{5^2 \times 7} $ - 6$ \sqrt{7} $
(2)(5)$ \sqrt{7} $ - 6$ \sqrt{7} $
10$ \sqrt{7} $ - 6$ \sqrt{7} $

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

10$ \sqrt{7} $ - 6$ \sqrt{7} $
(10 - 6)$ \sqrt{7} $
4$ \sqrt{7} $

Monica scored 80% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Monica answer correctly?

57% Answer Correctly

	64
	74
	58
	50

Solution

Monica scored 80% on the test meaning she earned 80% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.8 = 256 points. Each question is worth 4 points so she got $ \frac{256}{4} $ = 64 questions right.

13 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly

	3
	1
	4
	2

Solution

There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 13 people needing transportation leaving 13 - 10 = 3 who will have to find other transportation.

What is $ \frac{3}{5} $ ÷ $ \frac{2}{8} $?

68% Answer Correctly

	$\frac{9}{40}$
	$\frac{4}{27}$
	$\frac{3}{16}$
	2$\frac{2}{5}$

Solution

To divide fractions, invert the second fraction and then multiply:

$ \frac{3}{5} $ ÷ $ \frac{2}{8} $ = $ \frac{3}{5} $ x $ \frac{8}{2} $

To multiply fractions, multiply the numerators together and then multiply the denominators together:

$ \frac{3}{5} $ x $ \frac{8}{2} $ = $ \frac{3 x 8}{5 x 2} $ = $ \frac{24}{10} $ = 2$\frac{2}{5}$

	12\( \sqrt{7} \)
	-4\( \sqrt{175} \)
	-4\( \sqrt{1225} \)
	4\( \sqrt{7} \)

	\(\frac{9}{40}\)
	\(\frac{4}{27}\)
	\(\frac{3}{16}\)
	2\(\frac{2}{5}\)