ASVAB Arithmetic Reasoning Practice Test 978171 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

What is \( \frac{8}{8} \) - \( \frac{2}{10} \)?

61% Answer Correctly
1 \( \frac{6}{40} \)
\(\frac{4}{5}\)
1 \( \frac{8}{40} \)
\( \frac{3}{10} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.

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

\( \frac{8 x 5}{8 x 5} \) - \( \frac{2 x 4}{10 x 4} \)

\( \frac{40}{40} \) - \( \frac{8}{40} \)

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

\( \frac{40 - 8}{40} \) = \( \frac{32}{40} \) = \(\frac{4}{5}\)


2

If \( \left|c + 9\right| \) + 5 = 1, which of these is a possible value for c?

62% Answer Correctly
-2
6
-20
-13

Solution

First, solve for \( \left|c + 9\right| \):

\( \left|c + 9\right| \) + 5 = 1
\( \left|c + 9\right| \) = 1 - 5
\( \left|c + 9\right| \) = -4

The value inside the absolute value brackets can be either positive or negative so (c + 9) must equal - 4 or --4 for \( \left|c + 9\right| \) to equal -4:

c + 9 = -4
c = -4 - 9
c = -13
c + 9 = 4
c = 4 - 9
c = -5

So, c = -5 or c = -13.


3

Which of the following is not an integer?

77% Answer Correctly

1

-1

\({1 \over 2}\)

0


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


4

What is (b3)2?

80% Answer Correctly
b-1
b5
3b2
b6

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(b3)2
b(3 * 2)
b6


5

10 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
9
1
6
2

Solution

There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.