ASVAB Arithmetic Reasoning Practice Test 421713 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

Which of the following is not an integer?

77% Answer Correctly

0

1

\({1 \over 2}\)

-1


Solution

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


2

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

integer

fraction

mixed number


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


3

What is \( \frac{9}{4} \) - \( \frac{5}{8} \)?

61% Answer Correctly
1\(\frac{5}{8}\)
\( \frac{4}{8} \)
1 \( \frac{9}{13} \)
\( \frac{1}{9} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{9 x 2}{4 x 2} \) - \( \frac{5 x 1}{8 x 1} \)

\( \frac{18}{8} \) - \( \frac{5}{8} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{18 - 5}{8} \) = \( \frac{13}{8} \) = 1\(\frac{5}{8}\)


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $44, how much money will he save?

70% Answer Correctly
$2.20
$19.80
$15.40
$17.60

Solution

By buying two shirts, Charlie will save $44 x \( \frac{5}{100} \) = \( \frac{$44 x 5}{100} \) = \( \frac{$220}{100} \) = $2.20 on the second shirt.


5

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

56% Answer Correctly

greatest common factor

least common factor

least common multiple

absolute value


Solution

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