ASVAB Arithmetic Reasoning Practice Test 238902 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.92
Score	0%	58%

Review

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Ezra buys two shirts, each with a regular price of $10, how much money will he save?

70% Answer Correctly

	$2.50
	$4.50
	$1.50
	$1.00

Solution

By buying two shirts, Ezra will save $10 x $ \frac{15}{100} $ = $ \frac{$10 x 15}{100} $ = $ \frac{$150}{100} $ = $1.50 on the second shirt.

What is $ 9 $$ \sqrt{112} $ - $ 4 $$ \sqrt{7} $

38% Answer Correctly

	36$ \sqrt{112} $
	5$ \sqrt{33} $
	32$ \sqrt{7} $
	36$ \sqrt{16} $

Solution

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

9$ \sqrt{112} $ - 4$ \sqrt{7} $
9$ \sqrt{16 \times 7} $ - 4$ \sqrt{7} $
9$ \sqrt{4^2 \times 7} $ - 4$ \sqrt{7} $
(9)(4)$ \sqrt{7} $ - 4$ \sqrt{7} $
36$ \sqrt{7} $ - 4$ \sqrt{7} $

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

36$ \sqrt{7} $ - 4$ \sqrt{7} $
(36 - 4)$ \sqrt{7} $
32$ \sqrt{7} $

A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly

	25%
	37$\frac{1}{2}$%
	30%
	15%

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 60% the radius (and, consequently, the total area) increases by $ \frac{60\text{%}}{2} $ = 30%

20 members of a bridal party need transported to a wedding reception but there are only 4 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly

	4
	1
	9
	3

Solution

There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 20 people needing transportation leaving 20 - 16 = 4 who will have to find other transportation.

Betty scored 88% on her final exam. If each question was worth 2 points and there were 160 possible points on the exam, how many questions did Betty answer correctly?

57% Answer Correctly

	72
	85
	73
	70

Solution

Betty scored 88% on the test meaning she earned 88% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.88 = 140 points. Each question is worth 2 points so she got $ \frac{140}{2} $ = 70 questions right.

	36\( \sqrt{112} \)
	5\( \sqrt{33} \)
	32\( \sqrt{7} \)
	36\( \sqrt{16} \)