ASVAB Arithmetic Reasoning Practice Test 270690 Results

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

Review

1

10 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
3
8
2
1

Solution

There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.


2

A triathlon course includes a 200m swim, a 40.3km bike ride, and a 11.9km run. What is the total length of the race course?

69% Answer Correctly
45.4km
52.4km
38.8km
40.1km

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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 40.3km + 11.9km
total distance = 52.4km


3

In a class of 27 students, 7 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 6 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
27
18
23
15

Solution

The number of students taking German or Spanish is 7 + 11 = 18. Of that group of 18, 6 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 6 = 12 who are taking at least one language. 27 - 12 = 15 students who are not taking either language.


4

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
3:8
49:2
3:6
5:1

Solution

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.


5

What is 9z4 - 4z4?

71% Answer Correctly
-5z4
5z-4
5z4
13z8

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

9z4 - 4z4
(9 - 4)z4
5z4