ASVAB Arithmetic Reasoning Practice Test 579889 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.30
Score	0%	66%

Review

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Alex buys two shirts, each with a regular price of $14, how much money will he save?

70% Answer Correctly

	$2.80
	$4.20
	$6.30
	$3.50

Solution

By buying two shirts, Alex will save $14 x $ \frac{45}{100} $ = $ \frac{$14 x 45}{100} $ = $ \frac{$630}{100} $ = $6.30 on the second shirt.

The total water usage for a city is 50,000 gallons each day. Of that total, 12% is for personal use and 28% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	2,800
	8,000
	10,150
	1,750

Solution

28% of the water consumption is industrial use and 12% is personal use so (28% - 12%) = 16% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes $ \frac{16}{100} $ x 50,000 gallons = 8,000 gallons.

Which of the following is a mixed number?

82% Answer Correctly

	${a \over 5} $
	${5 \over 7} $
	${7 \over 5} $
	$1 {2 \over 5} $

Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form ${a \over b}$ where a is the numerator and b is the denominator. An improper fraction (${5 \over 3} $) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number ($1 {2 \over 3} $) which has a whole number part and a fractional part.

What is 3z⁷ + z⁷?

66% Answer Correctly

	4z⁷
	4z¹⁴
	2z^-7
	4z⁴⁹

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

3z⁷ + 1z⁷
(3 + 1)z⁷
4z⁷

Solve 4 + (2 + 2) ÷ 3 x 4 - 2²

52% Answer Correctly

	$\frac{6}{7}$
	3
	5$\frac{1}{3}$
	1$\frac{1}{8}$

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (2 + 2) ÷ 3 x 4 - 2²
P: 4 + (4) ÷ 3 x 4 - 2²
E: 4 + 4 ÷ 3 x 4 - 4
MD: 4 + $ \frac{4}{3} $ x 4 - 4
MD: 4 + $ \frac{16}{3} $ - 4
AS: $ \frac{12}{3} $ + $ \frac{16}{3} $ - 4
AS: $ \frac{28}{3} $ - 4
AS: $ \frac{28 - 12}{3} $
$ \frac{16}{3} $
5$\frac{1}{3}$

	\({a \over 5} \)
	\({5 \over 7} \)
	\({7 \over 5} \)
	\(1 {2 \over 5} \)

	\(\frac{6}{7}\)
	3
	5\(\frac{1}{3}\)
	1\(\frac{1}{8}\)