ASVAB Arithmetic Reasoning Practice Test 207904 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?

69% Answer Correctly
43
46
54
47

Solution

The equation for this sequence is:

an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46


2

What is \( \frac{2}{3} \) - \( \frac{3}{7} \)?

61% Answer Correctly
2 \( \frac{5}{21} \)
2 \( \frac{1}{10} \)
\(\frac{5}{21}\)
2 \( \frac{3}{21} \)

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:

\( \frac{2 x 7}{3 x 7} \) - \( \frac{3 x 3}{7 x 3} \)

\( \frac{14}{21} \) - \( \frac{9}{21} \)

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

\( \frac{14 - 9}{21} \) = \( \frac{5}{21} \) = \(\frac{5}{21}\)


3

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 $39, how much will he pay for both shirts?

57% Answer Correctly
$50.70
$33.15
$5.85
$72.15

Solution

By buying two shirts, Ezra will save $39 x \( \frac{15}{100} \) = \( \frac{$39 x 15}{100} \) = \( \frac{$585}{100} \) = $5.85 on the second shirt.

So, his total cost will be
$39.00 + ($39.00 - $5.85)
$39.00 + $33.15
$72.15


4

If \( \left|x + 7\right| \) + 0 = 9, which of these is a possible value for x?

62% Answer Correctly
-5
-3
2
-21

Solution

First, solve for \( \left|x + 7\right| \):

\( \left|x + 7\right| \) + 0 = 9
\( \left|x + 7\right| \) = 9 + 0
\( \left|x + 7\right| \) = 9

The value inside the absolute value brackets can be either positive or negative so (x + 7) must equal + 9 or -9 for \( \left|x + 7\right| \) to equal 9:

x + 7 = 9
x = 9 - 7
x = 2
x + 7 = -9
x = -9 - 7
x = -16

So, x = -16 or x = 2.


5

Which of the following is not an integer?

77% Answer Correctly

\({1 \over 2}\)

0

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.