ASVAB Arithmetic Reasoning Practice Test 314461 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

What is (b3)2?

80% Answer Correctly
b6
3b2
2b3
b

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(b3)2
b(3 * 2)
b6


2

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
1:4
25:2
9:8
5:4

Solution

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.


3

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

least common multiple

greatest common factor

absolute value

greatest common multiple


Solution

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


4

A triathlon course includes a 300m swim, a 40.3km bike ride, and a 11.200000000000001km run. What is the total length of the race course?

69% Answer Correctly
41.6km
28.6km
34.2km
51.8km

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 + 40.3km + 11.200000000000001km
total distance = 51.8km


5

6 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
2
3
7
9

Solution

There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 6 people needing transportation leaving 6 - 4 = 2 who will have to find other transportation.