ASVAB Arithmetic Reasoning Practice Test 707074 Results

Your Results Global Average
Questions 5 5
Correct 0 3.57
Score 0% 71%

Review

1

Convert c-4 to remove the negative exponent.

68% Answer Correctly
\( \frac{4}{c} \)
\( \frac{-4}{c} \)
\( \frac{1}{c^4} \)
\( \frac{-1}{-4c} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.


2

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = -7

none of these is correct

a = 7 or a = -7

a = 7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).


3

Simplify \( \frac{28}{52} \).

77% Answer Correctly
\( \frac{7}{13} \)
\( \frac{8}{13} \)
\( \frac{5}{18} \)
\( \frac{10}{11} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{28}{52} \) = \( \frac{\frac{28}{4}}{\frac{52}{4}} \) = \( \frac{7}{13} \)


4

What is \( \sqrt{\frac{4}{64}} \)?

70% Answer Correctly
\(\frac{2}{5}\)
\(\frac{1}{4}\)
3
2\(\frac{1}{4}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{64}} \)
\( \frac{\sqrt{4}}{\sqrt{64}} \)
\( \frac{\sqrt{2^2}}{\sqrt{8^2}} \)
\(\frac{1}{4}\)


5

14 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
4
1
6
5

Solution

There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 14 people needing transportation leaving 14 - 9 = 5 who will have to find other transportation.