ASVAB Arithmetic Reasoning Practice Test 310056 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

The total water usage for a city is 20,000 gallons each day. Of that total, 25% is for personal use and 58% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
4,550
6,800
6,600
8,100
Solution

58% of the water consumption is industrial use and 25% is personal use so (58% - 25%) = 33% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{33}{100} \) x 20,000 gallons = 6,600 gallons.

2

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?

52% Answer Correctly
7
2
4
8
Solution

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2

3

Which of these numbers is a factor of 32?

68% Answer Correctly
8
16
7
2
Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.

4

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
81:2
3:6
9:1
3:8
Solution

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

5

What is the distance in miles of a trip that takes 2 hours at an average speed of 45 miles per hour?

87% Answer Correctly
90 miles
275 miles
560 miles
65 miles
Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 45mph \times 2h \)
90 miles