ASVAB Arithmetic Reasoning Practice Test 237641 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

What is the greatest common factor of 32 and 28?

77% Answer Correctly
23
4
22
19

Solution

The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 32 and 28 have in common.


2

A triathlon course includes a 300m swim, a 20.9km bike ride, and a 12.5km run. What is the total length of the race course?

69% Answer Correctly
32.1km
34.8km
33.7km
56.1km

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 + 20.9km + 12.5km
total distance = 33.7km


3

What is \( \frac{-4c^6}{6c^2} \)?

60% Answer Correctly
-\(\frac{2}{3}\)c4
-\(\frac{2}{3}\)c3
-\(\frac{2}{3}\)c\(\frac{1}{3}\)
-\(\frac{2}{3}\)c-4

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-4c^6}{6c^2} \)
\( \frac{-4}{6} \) c(6 - 2)
-\(\frac{2}{3}\)c4


4

If the ratio of home fans to visiting fans in a crowd is 4:1 and all 32,000 seats in a stadium are filled, how many home fans are in attendance?

49% Answer Correctly
28,333
25,600
25,333
30,000

Solution

A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:

32,000 fans x \( \frac{4}{5} \) = \( \frac{128000}{5} \) = 25,600 fans.


5

What is the least common multiple of 4 and 6?

73% Answer Correctly
24
12
5
6

Solution

The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 have in common.