ASVAB Arithmetic Reasoning Practice Test 337740 Results

Your Results Global Average
Questions 5 5
Correct 0 3.64
Score 0% 73%

Review

1

What is the greatest common factor of 56 and 16?

77% Answer Correctly
8
2
4
11

Solution

The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 16 are [1, 2, 4, 8, 16]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 16 have in common.


2

What is the least common multiple of 4 and 6?

72% Answer Correctly
12
14
3
15

Solution

The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] 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 [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 have in common.


3

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

78% Answer Correctly

integer

fraction

improper 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.


4

Simplify \( \sqrt{63} \)

62% Answer Correctly
3\( \sqrt{7} \)
8\( \sqrt{14} \)
7\( \sqrt{14} \)
9\( \sqrt{14} \)

Solution

To simplify a radical, factor out the perfect squares:

\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)


5

Find the average of the following numbers: 12, 4, 10, 6.

74% Answer Correctly
3
8
5
12

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{12 + 4 + 10 + 6}{4} \) = \( \frac{32}{4} \) = 8