ASVAB Arithmetic Reasoning Practice Test 994731 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

In a class of 28 students, 9 are taking German and 13 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
20
12
11
26

Solution

The number of students taking German or Spanish is 9 + 13 = 22. Of that group of 22, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 6 = 16 who are taking at least one language. 28 - 16 = 12 students who are not taking either language.


2

Which of the following statements about exponents is false?

47% Answer Correctly

b0 = 1

all of these are false

b1 = b

b1 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


3

What is \( \frac{3}{9} \) ÷ \( \frac{2}{8} \)?

68% Answer Correctly
1\(\frac{1}{3}\)
\(\frac{1}{40}\)
\(\frac{1}{6}\)
12

Solution

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

\( \frac{3}{9} \) ÷ \( \frac{2}{8} \) = \( \frac{3}{9} \) x \( \frac{8}{2} \)

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

\( \frac{3}{9} \) x \( \frac{8}{2} \) = \( \frac{3 x 8}{9 x 2} \) = \( \frac{24}{18} \) = 1\(\frac{1}{3}\)


4

11 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
1
2
3
5

Solution

There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 11 people needing transportation leaving 11 - 9 = 2 who will have to find other transportation.


5

Find the average of the following numbers: 16, 10, 14, 12.

75% Answer Correctly
17
13
18
15

Solution

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

\( \frac{16 + 10 + 14 + 12}{4} \) = \( \frac{52}{4} \) = 13