ASVAB Arithmetic Reasoning Practice Test 184713 Results

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

Review

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Monty buys two shirts, each with a regular price of $46, how much will he pay for both shirts?

57% Answer Correctly

	$4.60
	$87.40
	$62.10
	$41.40

Solution

By buying two shirts, Monty will save $46 x $ \frac{10}{100} $ = $ \frac{$46 x 10}{100} $ = $ \frac{$460}{100} $ = $4.60 on the second shirt.

So, his total cost will be
$46.00 + ($46.00 - $4.60)
$46.00 + $41.40
$87.40

A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly

	35%
	27$\frac{1}{2}$%
	22$\frac{1}{2}$%
	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 55% the radius (and, consequently, the total area) increases by $ \frac{55\text{%}}{2} $ = 27$\frac{1}{2}$%

Solve for $ \frac{2!}{5!} $

66% Answer Correctly

	3024
	$ \frac{1}{4} $
	$ \frac{1}{60} $
	$ \frac{1}{3024} $

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

$ \frac{2!}{5!} $
$ \frac{2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} $
$ \frac{1}{5 \times 4 \times 3} $
$ \frac{1}{60} $

The total water usage for a city is 10,000 gallons each day. Of that total, 21% is for personal use and 42% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	1,600
	7,500
	2,100
	6,300

Solution

42% of the water consumption is industrial use and 21% is personal use so (42% - 21%) = 21% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes $ \frac{21}{100} $ x 10,000 gallons = 2,100 gallons.

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

56% Answer Correctly

	least common multiple
	greatest common factor
	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.

	3024
	\( \frac{1}{4} \)
	\( \frac{1}{60} \)
	\( \frac{1}{3024} \)

	35%
	27\(\frac{1}{2}\)%
	22\(\frac{1}{2}\)%
	15%