ASVAB Arithmetic Reasoning Practice Test 94807 Results

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

Review

1

If a mayor is elected with 84% of the votes cast and 42% of a town's 28,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
7,291
10,349
8,702
9,878

Solution

If 42% of the town's 28,000 voters cast ballots the number of votes cast is:

(\( \frac{42}{100} \)) x 28,000 = \( \frac{1,176,000}{100} \) = 11,760

The mayor got 84% of the votes cast which is:

(\( \frac{84}{100} \)) x 11,760 = \( \frac{987,840}{100} \) = 9,878 votes.


2

Which of the following is a mixed number?

83% Answer Correctly

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({a \over 5} \)

\({5 \over 7} \)


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.


3

4! = ?

85% Answer Correctly

4 x 3

5 x 4 x 3 x 2 x 1

3 x 2 x 1

4 x 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.


4

If a car travels 150 miles in 5 hours, what is the average speed?

86% Answer Correctly
50 mph
30 mph
25 mph
45 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{150mi}{5h} \)
30 mph


5

How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?

52% Answer Correctly
2
6
4
3

Solution

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3