ASVAB Arithmetic Reasoning Practice Test 839257 Results

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

Review

1

What is the least common multiple of 6 and 8?

72% Answer Correctly
4
3
24
16

Solution

The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] 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 [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Bob buys two shirts, each with a regular price of $15, how much will he pay for both shirts?

57% Answer Correctly
$6.00
$16.50
$24.00
$21.00

Solution

By buying two shirts, Bob will save $15 x \( \frac{40}{100} \) = \( \frac{$15 x 40}{100} \) = \( \frac{$600}{100} \) = $6.00 on the second shirt.

So, his total cost will be
$15.00 + ($15.00 - $6.00)
$15.00 + $9.00
$24.00


3

What is \( \frac{2}{2} \) + \( \frac{8}{6} \)?

60% Answer Correctly
2 \( \frac{7}{12} \)
2\(\frac{1}{3}\)
\( \frac{1}{6} \)
2 \( \frac{9}{6} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

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

\( \frac{2 x 3}{2 x 3} \) + \( \frac{8 x 1}{6 x 1} \)

\( \frac{6}{6} \) + \( \frac{8}{6} \)

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

\( \frac{6 + 8}{6} \) = \( \frac{14}{6} \) = 2\(\frac{1}{3}\)


4

Which of the following is not an integer?

77% Answer Correctly

1

0

\({1 \over 2}\)

-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.


5

What is \( \frac{2}{8} \) x \( \frac{3}{7} \)?

72% Answer Correctly
\(\frac{3}{28}\)
\(\frac{2}{15}\)
\(\frac{2}{27}\)
\(\frac{2}{63}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{8} \) x \( \frac{3}{7} \) = \( \frac{2 x 3}{8 x 7} \) = \( \frac{6}{56} \) = \(\frac{3}{28}\)