ASVAB Arithmetic Reasoning Practice Test 543717 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

Convert c-4 to remove the negative exponent.

67% Answer Correctly
\( \frac{-1}{-4c} \)
\( \frac{-4}{c} \)
\( \frac{1}{c^{-4}} \)
\( \frac{1}{c^4} \)
Solution

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

2

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common factor

least common multiple

absolute value

greatest common multiple
Solution

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

3

What is the greatest common factor of 64 and 80?

77% Answer Correctly
62
18
4
16
Solution

The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 64 and 80 have in common.

4

How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?

52% Answer Correctly
4
36
6
8
Solution

To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:

cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4

5

What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?

68% Answer Correctly
33
31
38
30
Solution

The equation for this sequence is:

an = an-1 + 2(n - 1)

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31