ASVAB Arithmetic Reasoning Practice Test 627914 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

least common multiple

greatest common multiple

greatest common factor

absolute value


Solution

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


2

How many 8-passenger vans will it take to drive all 68 members of the football team to an away game?

81% Answer Correctly
5 vans
9 vans
17 vans
14 vans

Solution

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

vans = \( \frac{68}{8} \) = 8\(\frac{1}{2}\)

So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.


3

What is \( 2 \)\( \sqrt{80} \) - \( 9 \)\( \sqrt{5} \)

38% Answer Correctly
18\( \sqrt{16} \)
-7\( \sqrt{400} \)
18\( \sqrt{400} \)
-1\( \sqrt{5} \)

Solution

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

2\( \sqrt{80} \) - 9\( \sqrt{5} \)
2\( \sqrt{16 \times 5} \) - 9\( \sqrt{5} \)
2\( \sqrt{4^2 \times 5} \) - 9\( \sqrt{5} \)
(2)(4)\( \sqrt{5} \) - 9\( \sqrt{5} \)
8\( \sqrt{5} \) - 9\( \sqrt{5} \)

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

8\( \sqrt{5} \) - 9\( \sqrt{5} \)
(8 - 9)\( \sqrt{5} \)
-1\( \sqrt{5} \)


4

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\({5 \over 7} \)

\({a \over 5} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.


5

53% Answer Correctly
1
3.6
2.1
0.3

Solution


1