ASVAB Arithmetic Reasoning Practice Test 742051 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

If a mayor is elected with 89% of the votes cast and 88% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?

50% Answer Correctly
19,580
12,760
13,200
17,820

Solution

If 88% of the town's 25,000 voters cast ballots the number of votes cast is:

(\( \frac{88}{100} \)) x 25,000 = \( \frac{2,200,000}{100} \) = 22,000

The mayor got 89% of the votes cast which is:

(\( \frac{89}{100} \)) x 22,000 = \( \frac{1,958,000}{100} \) = 19,580 votes.


2

Convert c-2 to remove the negative exponent.

67% Answer Correctly
\( \frac{1}{c^2} \)
\( \frac{-1}{c^{-2}} \)
\( \frac{2}{c} \)
\( \frac{-2}{c} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.


3

What is \( \frac{-9b^7}{8b^2} \)?

60% Answer Correctly
-\(\frac{8}{9}\)b5
-1\(\frac{1}{8}\)b5
-1\(\frac{1}{8}\)b14
-1\(\frac{1}{8}\)b3\(\frac{1}{2}\)

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-9b^7}{8b^2} \)
\( \frac{-9}{8} \) b(7 - 2)
-1\(\frac{1}{8}\)b5


4

A tiger in a zoo has consumed 49 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 91 pounds?

56% Answer Correctly
5
6
8
10

Solution

If the tiger has consumed 49 pounds of food in 7 days that's \( \frac{49}{7} \) = 7 pounds of food per day. The tiger needs to consume 91 - 49 = 42 more pounds of food to reach 91 pounds total. At 7 pounds of food per day that's \( \frac{42}{7} \) = 6 more days.


5

How many 13-passenger vans will it take to drive all 30 members of the football team to an away game?

81% Answer Correctly
4 vans
7 vans
14 vans
3 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{30}{13} \) = 2\(\frac{4}{13}\)

So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.