ASVAB Arithmetic Reasoning Practice Test 954108 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

Jennifer scored 93% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?

57% Answer Correctly
28
34
20
38

Solution

Jennifer scored 93% on the test meaning she earned 93% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.93 = 112 points. Each question is worth 4 points so she got \( \frac{112}{4} \) = 28 questions right.


2

In a class of 28 students, 14 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
13
21
9
19

Solution

The number of students taking German or Spanish is 14 + 8 = 22. Of that group of 22, 3 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 - 3 = 19 who are taking at least one language. 28 - 19 = 9 students who are not taking either language.


3

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

67% Answer Correctly

none of these is correct

a = -7

a = 7

a = 7 or 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).


4

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b1 = 1

b1 = b

b0 = 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).


5

What is \( \frac{10\sqrt{20}}{2\sqrt{4}} \)?

71% Answer Correctly
\(\frac{1}{5}\) \( \sqrt{\frac{1}{5}} \)
5 \( \sqrt{\frac{1}{5}} \)
\(\frac{1}{5}\) \( \sqrt{5} \)
5 \( \sqrt{5} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{10\sqrt{20}}{2\sqrt{4}} \)
\( \frac{10}{2} \) \( \sqrt{\frac{20}{4}} \)
5 \( \sqrt{5} \)