ASVAB Arithmetic Reasoning Practice Test 25799 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

least common multiple

absolute value

greatest common factor

greatest common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


2

If a mayor is elected with 73% of the votes cast and 68% of a town's 19,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
6,718
9,432
8,398
8,269

Solution

If 68% of the town's 19,000 voters cast ballots the number of votes cast is:

(\( \frac{68}{100} \)) x 19,000 = \( \frac{1,292,000}{100} \) = 12,920

The mayor got 73% of the votes cast which is:

(\( \frac{73}{100} \)) x 12,920 = \( \frac{943,160}{100} \) = 9,432 votes.


3

How many 14-passenger vans will it take to drive all 33 members of the football team to an away game?

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

Solution

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

vans = \( \frac{33}{14} \) = 2\(\frac{5}{14}\)

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


4

4! = ?

85% Answer Correctly

5 x 4 x 3 x 2 x 1

3 x 2 x 1

4 x 3 x 2 x 1

4 x 3


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


5

What is \( 9 \)\( \sqrt{20} \) - \( 9 \)\( \sqrt{5} \)

38% Answer Correctly
81\( \sqrt{4} \)
0\( \sqrt{21} \)
9\( \sqrt{5} \)
0\( \sqrt{20} \)

Solution

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

9\( \sqrt{20} \) - 9\( \sqrt{5} \)
9\( \sqrt{4 \times 5} \) - 9\( \sqrt{5} \)
9\( \sqrt{2^2 \times 5} \) - 9\( \sqrt{5} \)
(9)(2)\( \sqrt{5} \) - 9\( \sqrt{5} \)
18\( \sqrt{5} \) - 9\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

18\( \sqrt{5} \) - 9\( \sqrt{5} \)
(18 - 9)\( \sqrt{5} \)
9\( \sqrt{5} \)