ASVAB Arithmetic Reasoning Practice Test 433679 Results

Your Results Global Average
Questions 5 5
Correct 0 3.54
Score 0% 71%

Review

1

What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?

92% Answer Correctly
44
35
47
41

Solution

The equation for this sequence is:

an = an-1 + 8

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 + 8
a6 = 33 + 8
a6 = 41


2

Which of the following is not an integer?

77% Answer Correctly

0

\({1 \over 2}\)

-1

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.


3

Find the average of the following numbers: 17, 9, 15, 11.

74% Answer Correctly
13
15
17
10

Solution

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

\( \frac{17 + 9 + 15 + 11}{4} \) = \( \frac{52}{4} \) = 13


4

If a mayor is elected with 63% of the votes cast and 86% of a town's 41,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
24,329
27,855
23,272
22,214

Solution

If 86% of the town's 41,000 voters cast ballots the number of votes cast is:

(\( \frac{86}{100} \)) x 41,000 = \( \frac{3,526,000}{100} \) = 35,260

The mayor got 63% of the votes cast which is:

(\( \frac{63}{100} \)) x 35,260 = \( \frac{2,221,380}{100} \) = 22,214 votes.


5

What is \( \frac{8}{3} \) - \( \frac{4}{7} \)?

61% Answer Correctly
\( \frac{8}{16} \)
2\(\frac{2}{21}\)
2 \( \frac{7}{21} \)
2 \( \frac{1}{21} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.

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

\( \frac{8 x 7}{3 x 7} \) - \( \frac{4 x 3}{7 x 3} \)

\( \frac{56}{21} \) - \( \frac{12}{21} \)

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

\( \frac{56 - 12}{21} \) = \( \frac{44}{21} \) = 2\(\frac{2}{21}\)