ASVAB Arithmetic Reasoning Practice Test 622269 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.04
Score	0%	61%

Review

If $ \left|c - 6\right| $ + 9 = 4, which of these is a possible value for c?

62% Answer Correctly

	0
	-7
	11
	-4

Solution

First, solve for $ \left|c - 6\right| $:

The value inside the absolute value brackets can be either positive or negative so (c - 6) must equal - 5 or --5 for $ \left|c - 6\right| $ to equal -5:

c - 6 = -5
c = -5 + 6
c = 1

c - 6 = 5
c = 5 + 6
c = 11

So, c = 11 or c = 1.

What is $ 8 $$ \sqrt{32} $ - $ 7 $$ \sqrt{2} $

38% Answer Correctly

	25$ \sqrt{2} $
	$ \sqrt{16} $
	$ \sqrt{-12} $
	56$ \sqrt{64} $

Solution

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

8$ \sqrt{32} $ - 7$ \sqrt{2} $
8$ \sqrt{16 \times 2} $ - 7$ \sqrt{2} $
8$ \sqrt{4^2 \times 2} $ - 7$ \sqrt{2} $
(8)(4)$ \sqrt{2} $ - 7$ \sqrt{2} $
32$ \sqrt{2} $ - 7$ \sqrt{2} $

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

32$ \sqrt{2} $ - 7$ \sqrt{2} $
(32 - 7)$ \sqrt{2} $
25$ \sqrt{2} $

What is the greatest common factor of 36 and 20?

77% Answer Correctly

	17
	4
	11
	6

Solution

The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 20 are [1, 2, 4, 5, 10, 20]. They share 3 factors [1, 2, 4] making 4 the greatest factor 36 and 20 have in common.

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Bob buys two shirts, each with a regular price of $35, how much money will he save?

70% Answer Correctly

	$10.50
	$12.25
	$1.75
	$15.75

Solution

By buying two shirts, Bob will save $35 x $ \frac{5}{100} $ = $ \frac{$35 x 5}{100} $ = $ \frac{$175}{100} $ = $1.75 on the second shirt.

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

	least common multiple
	least common factor
	greatest common factor
	absolute value

Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

	25\( \sqrt{2} \)
	\( \sqrt{16} \)
	\( \sqrt{-12} \)
	56\( \sqrt{64} \)