ASVAB Arithmetic Reasoning Practice Test 237620 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.09
Score	0%	62%

Review

If all of a roofing company's 15 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 10 complete crews out on jobs?

55% Answer Correctly

	9
	15
	19
	14

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 15 workers at the company now and that's enough to staff 5 crews so there are $ \frac{15}{5} $ = 3 workers on a crew. 10 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 10 x 3 = 30 total workers to staff the crews during the busy season. The company already employs 15 workers so they need to add 30 - 15 = 15 new staff for the busy season.

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Alex buys two shirts, each with a regular price of $48, how much money will he save?

70% Answer Correctly

	$14.40
	$24.00
	$16.80
	$2.40

Solution

By buying two shirts, Alex will save $48 x $ \frac{30}{100} $ = $ \frac{$48 x 30}{100} $ = $ \frac{$1440}{100} $ = $14.40 on the second shirt.

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

56% Answer Correctly

	greatest common factor
	least common multiple
	least common factor
	absolute value

Solution

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

Which of the following is not an integer?

77% Answer Correctly

	1
	${1 \over 2}$
	-1
	0

Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

A circular logo is enlarged to fit the lid of a jar. The new diameter is 65% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly

	30%
	37$\frac{1}{2}$%
	17$\frac{1}{2}$%
	32$\frac{1}{2}$%

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 65% the radius (and, consequently, the total area) increases by $ \frac{65\text{%}}{2} $ = 32$\frac{1}{2}$%

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

	1
	\({1 \over 2}\)
	-1
	0