ASVAB Arithmetic Reasoning Practice Test 947245 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

What is \( \sqrt{\frac{36}{81}} \)?

70% Answer Correctly
2\(\frac{1}{4}\)
1
\(\frac{1}{2}\)
\(\frac{2}{3}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)


2

a(b + c) = ab + ac defines which of the following?

74% Answer Correctly

commutative property for multiplication

distributive property for division

commutative property for division

distributive property for multiplication


Solution

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.


3

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Charlie buys two shirts, each with a regular price of $18, how much money will he save?

70% Answer Correctly
$3.60
$6.30
$4.50
$1.80

Solution

By buying two shirts, Charlie will save $18 x \( \frac{20}{100} \) = \( \frac{$18 x 20}{100} \) = \( \frac{$360}{100} \) = $3.60 on the second shirt.


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $11, how much will he pay for both shirts?

57% Answer Correctly
$20.35
$1.65
$12.10
$9.35

Solution

By buying two shirts, Damon will save $11 x \( \frac{15}{100} \) = \( \frac{$11 x 15}{100} \) = \( \frac{$165}{100} \) = $1.65 on the second shirt.

So, his total cost will be
$11.00 + ($11.00 - $1.65)
$11.00 + $9.35
$20.35


5

Which of these numbers is a factor of 20?

68% Answer Correctly
22
20
4
24

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.