ASVAB Arithmetic Reasoning Practice Test 350370 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

least common multiple

greatest common multiple

absolute value

greatest common factor


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


2

Which of these numbers is a factor of 20?

68% Answer Correctly
10
21
8
13

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.


3

What is \( \frac{4}{2} \) - \( \frac{8}{6} \)?

61% Answer Correctly
\( \frac{1}{6} \)
1 \( \frac{7}{6} \)
1 \( \frac{4}{13} \)
\(\frac{2}{3}\)

Solution

To subtract 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:

\( \frac{4 x 3}{2 x 3} \) - \( \frac{8 x 1}{6 x 1} \)

\( \frac{12}{6} \) - \( \frac{8}{6} \)

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

\( \frac{12 - 8}{6} \) = \( \frac{4}{6} \) = \(\frac{2}{3}\)


4

What is \( 3 \)\( \sqrt{50} \) + \( 9 \)\( \sqrt{2} \)

35% Answer Correctly
12\( \sqrt{2} \)
24\( \sqrt{2} \)
27\( \sqrt{50} \)
27\( \sqrt{100} \)

Solution

To add these radicals together their radicands must be the same:

3\( \sqrt{50} \) + 9\( \sqrt{2} \)
3\( \sqrt{25 \times 2} \) + 9\( \sqrt{2} \)
3\( \sqrt{5^2 \times 2} \) + 9\( \sqrt{2} \)
(3)(5)\( \sqrt{2} \) + 9\( \sqrt{2} \)
15\( \sqrt{2} \) + 9\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

15\( \sqrt{2} \) + 9\( \sqrt{2} \)
(15 + 9)\( \sqrt{2} \)
24\( \sqrt{2} \)


5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Ezra buys two shirts, each with a regular price of $44, how much will he pay for both shirts?

57% Answer Correctly
$81.40
$57.20
$66.00
$59.40

Solution

By buying two shirts, Ezra will save $44 x \( \frac{15}{100} \) = \( \frac{$44 x 15}{100} \) = \( \frac{$660}{100} \) = $6.60 on the second shirt.

So, his total cost will be
$44.00 + ($44.00 - $6.60)
$44.00 + $37.40
$81.40