ASVAB Arithmetic Reasoning Practice Test 712823 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

If a mayor is elected with 73% of the votes cast and 83% of a town's 38,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
24,917
23,024
19,239
17,347

Solution

If 83% of the town's 38,000 voters cast ballots the number of votes cast is:

(\( \frac{83}{100} \)) x 38,000 = \( \frac{3,154,000}{100} \) = 31,540

The mayor got 73% of the votes cast which is:

(\( \frac{73}{100} \)) x 31,540 = \( \frac{2,302,420}{100} \) = 23,024 votes.


2

4! = ?

85% Answer Correctly

5 x 4 x 3 x 2 x 1

4 x 3

4 x 3 x 2 x 1

3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


3

Convert 7,114,000 to scientific notation.

62% Answer Correctly
7.114 x 10-5
7.114 x 106
7.114 x 107
71.14 x 105

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

7,114,000 in scientific notation is 7.114 x 106


4

In a class of 28 students, 12 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
28
25
8
13

Solution

The number of students taking German or Spanish is 12 + 10 = 22. Of that group of 22, 2 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 - 2 = 20 who are taking at least one language. 28 - 20 = 8 students who are not taking either language.


5

Which of the following is a mixed number?

82% Answer Correctly

\({a \over 5} \)

\(1 {2 \over 5} \)

\({5 \over 7} \)

\({7 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.