ASVAB Arithmetic Reasoning Practice Test 726235 Results

Your Results Global Average
Questions 5 5
Correct 0 2.72
Score 0% 54%

Review

1

A tiger in a zoo has consumed 104 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 143 pounds?

56% Answer Correctly
5
3
7
10

Solution

If the tiger has consumed 104 pounds of food in 8 days that's \( \frac{104}{8} \) = 13 pounds of food per day. The tiger needs to consume 143 - 104 = 39 more pounds of food to reach 143 pounds total. At 13 pounds of food per day that's \( \frac{39}{13} \) = 3 more days.


2

What is \( \frac{1}{9} \) ÷ \( \frac{4}{8} \)?

68% Answer Correctly
\(\frac{2}{9}\)
\(\frac{1}{12}\)
\(\frac{2}{7}\)
\(\frac{3}{10}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{9} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{9} \) x \( \frac{8}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{9} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{9 x 4} \) = \( \frac{8}{36} \) = \(\frac{2}{9}\)


3

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = 1

b1 = b

all of these are false

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).


4

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?

52% Answer Correctly
5
10
5
8

Solution

To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5


5

If a mayor is elected with 75% of the votes cast and 64% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
14,880
10,912
17,459
12,896

Solution

If 64% of the town's 31,000 voters cast ballots the number of votes cast is:

(\( \frac{64}{100} \)) x 31,000 = \( \frac{1,984,000}{100} \) = 19,840

The mayor got 75% of the votes cast which is:

(\( \frac{75}{100} \)) x 19,840 = \( \frac{1,488,000}{100} \) = 14,880 votes.