ASVAB Arithmetic Reasoning Practice Test 131211 Results

Your Results Global Average
Questions 5 5
Correct 0 2.92
Score 0% 58%

Review

1

Which of these numbers is a factor of 48?

68% Answer Correctly
50
12
3
38

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.


2

If a mayor is elected with 83% of the votes cast and 78% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
12,301
12,152
8,299
7,706

Solution

If 78% of the town's 19,000 voters cast ballots the number of votes cast is:

(\( \frac{78}{100} \)) x 19,000 = \( \frac{1,482,000}{100} \) = 14,820

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

(\( \frac{83}{100} \)) x 14,820 = \( \frac{1,230,060}{100} \) = 12,301 votes.


3

A tiger in a zoo has consumed 78 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 117 pounds?

56% Answer Correctly
5
7
3
9

Solution

If the tiger has consumed 78 pounds of food in 6 days that's \( \frac{78}{6} \) = 13 pounds of food per day. The tiger needs to consume 117 - 78 = 39 more pounds of food to reach 117 pounds total. At 13 pounds of food per day that's \( \frac{39}{13} \) = 3 more days.


4

What is \( 9 \)\( \sqrt{18} \) + \( 5 \)\( \sqrt{2} \)

35% Answer Correctly
45\( \sqrt{2} \)
14\( \sqrt{18} \)
14\( \sqrt{9} \)
32\( \sqrt{2} \)

Solution

To add these radicals together their radicands must be the same:

9\( \sqrt{18} \) + 5\( \sqrt{2} \)
9\( \sqrt{9 \times 2} \) + 5\( \sqrt{2} \)
9\( \sqrt{3^2 \times 2} \) + 5\( \sqrt{2} \)
(9)(3)\( \sqrt{2} \) + 5\( \sqrt{2} \)
27\( \sqrt{2} \) + 5\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

27\( \sqrt{2} \) + 5\( \sqrt{2} \)
(27 + 5)\( \sqrt{2} \)
32\( \sqrt{2} \)


5

How many 8-passenger vans will it take to drive all 44 members of the football team to an away game?

81% Answer Correctly
3 vans
4 vans
6 vans
8 vans

Solution

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

vans = \( \frac{44}{8} \) = 5\(\frac{1}{2}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.