ASVAB Arithmetic Reasoning Practice Test 388982 Results

Your Results Global Average
Questions 5 5
Correct 0 3.49
Score 0% 70%

Review

1

What is the greatest common factor of 44 and 72?

77% Answer Correctly
32
27
4
19

Solution

The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 72 have in common.


2

A triathlon course includes a 300m swim, a 40.6km bike ride, and a 16.5km run. What is the total length of the race course?

69% Answer Correctly
38.3km
57.4km
37.6km
44.8km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 40.6km + 16.5km
total distance = 57.4km


3

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common multiple

least common multiple

greatest common factor


Solution

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


4

If a mayor is elected with 73% of the votes cast and 65% of a town's 13,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
7,605
5,831
6,169
6,000

Solution

If 65% of the town's 13,000 voters cast ballots the number of votes cast is:

(\( \frac{65}{100} \)) x 13,000 = \( \frac{845,000}{100} \) = 8,450

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

(\( \frac{73}{100} \)) x 8,450 = \( \frac{616,850}{100} \) = 6,169 votes.


5

4! = ?

85% Answer Correctly

5 x 4 x 3 x 2 x 1

4 x 3 x 2 x 1

4 x 3

3 x 2 x 1


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.