ASVAB Arithmetic Reasoning Practice Test 291607 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

What is the greatest common factor of 20 and 56?

77% Answer Correctly
4
8
19
11

Solution

The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 3 factors [1, 2, 4] making 4 the greatest factor 20 and 56 have in common.


2

The total water usage for a city is 5,000 gallons each day. Of that total, 12% is for personal use and 38% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
3,200
1,300
4,200
9,000

Solution

38% of the water consumption is industrial use and 12% is personal use so (38% - 12%) = 26% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 5,000 gallons = 1,300 gallons.


3

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

integer

mixed number

fraction


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


4

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common factor

greatest common multiple

least common multiple


Solution

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


5

Bob loaned Roger $1,200 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$12
$75
$35
$33

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,200
i = 0.01 x $1,200
i = $12