ASVAB Arithmetic Reasoning Practice Test 586146 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

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

78% Answer Correctly

improper fraction

fraction

integer

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.


2

What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?

69% Answer Correctly
31
40
24
29

Solution

The equation for this sequence is:

an = an-1 + 2(n - 1)

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31


3

What is the greatest common factor of 64 and 28?

77% Answer Correctly
28
5
17
4

Solution

The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 64 and 28 have in common.


4

53% Answer Correctly
1
2.4
0.9
3.6

Solution


1


5

What is \( \frac{3}{8} \) ÷ \( \frac{2}{5} \)?

68% Answer Correctly
7\(\frac{1}{2}\)
\(\frac{2}{15}\)
\(\frac{1}{24}\)
\(\frac{15}{16}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{8} \) ÷ \( \frac{2}{5} \) = \( \frac{3}{8} \) x \( \frac{5}{2} \)

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

\( \frac{3}{8} \) x \( \frac{5}{2} \) = \( \frac{3 x 5}{8 x 2} \) = \( \frac{15}{16} \) = \(\frac{15}{16}\)