ASVAB Arithmetic Reasoning Practice Test 448359 Results

Your Results Global Average
Questions 5 5
Correct 0 2.92
Score 0% 58%

Review

1

If all of a roofing company's 4 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 4 complete crews out on jobs?

55% Answer Correctly
4
15
16
8

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 4 workers at the company now and that's enough to staff 2 crews so there are \( \frac{4}{2} \) = 2 workers on a crew. 4 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 4 x 2 = 8 total workers to staff the crews during the busy season. The company already employs 4 workers so they need to add 8 - 4 = 4 new staff for the busy season.


2

What is the least common multiple of 2 and 10?

72% Answer Correctly
8
7
16
10

Solution

The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 have in common.


3

What is \( \frac{49\sqrt{25}}{7\sqrt{5}} \)?

71% Answer Correctly
7 \( \sqrt{5} \)
5 \( \sqrt{7} \)
5 \( \sqrt{\frac{1}{7}} \)
\(\frac{1}{7}\) \( \sqrt{5} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{49\sqrt{25}}{7\sqrt{5}} \)
\( \frac{49}{7} \) \( \sqrt{\frac{25}{5}} \)
7 \( \sqrt{5} \)


4

What is \( 5 \)\( \sqrt{20} \) - \( 6 \)\( \sqrt{5} \)

38% Answer Correctly
4\( \sqrt{5} \)
-1\( \sqrt{5} \)
30\( \sqrt{100} \)
-1\( \sqrt{4} \)

Solution

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

5\( \sqrt{20} \) - 6\( \sqrt{5} \)
5\( \sqrt{4 \times 5} \) - 6\( \sqrt{5} \)
5\( \sqrt{2^2 \times 5} \) - 6\( \sqrt{5} \)
(5)(2)\( \sqrt{5} \) - 6\( \sqrt{5} \)
10\( \sqrt{5} \) - 6\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

10\( \sqrt{5} \) - 6\( \sqrt{5} \)
(10 - 6)\( \sqrt{5} \)
4\( \sqrt{5} \)


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.