ASVAB Arithmetic Reasoning Practice Test 235719 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

If a mayor is elected with 83% of the votes cast and 49% of a town's 38,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
15,455
12,103
16,013
9,496

Solution

If 49% of the town's 38,000 voters cast ballots the number of votes cast is:

(\( \frac{49}{100} \)) x 38,000 = \( \frac{1,862,000}{100} \) = 18,620

The mayor got 83% of the votes cast which is:

(\( \frac{83}{100} \)) x 18,620 = \( \frac{1,545,460}{100} \) = 15,455 votes.


2

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

least common factor

absolute value

least common multiple

greatest common factor


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


3

Which of the following is not a prime number?

65% Answer Correctly

9

2

5

7


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


4

What is -5y2 - 9y2?

71% Answer Correctly
-14y2
-14y-2
14y-2
4y2

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-5y2 - 9y2
(-5 - 9)y2
-14y2


5

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?

52% Answer Correctly
5
10
8
9

Solution

To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5