ASVAB Arithmetic Reasoning Practice Test 598587 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?

52% Answer Correctly
2
2
4
7

Solution

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2


2

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

absolute value

least common factor

least common multiple

greatest common factor


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


3

Damon loaned Jennifer $400 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$408
$416
$404
$428

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 $400
i = 0.01 x $400

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $400 + $4
total = $404


4

If a mayor is elected with 55% of the votes cast and 30% of a town's 41,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
9,963
9,717
6,765
7,749

Solution

If 30% of the town's 41,000 voters cast ballots the number of votes cast is:

(\( \frac{30}{100} \)) x 41,000 = \( \frac{1,230,000}{100} \) = 12,300

The mayor got 55% of the votes cast which is:

(\( \frac{55}{100} \)) x 12,300 = \( \frac{676,500}{100} \) = 6,765 votes.


5

Which of the following is a mixed number?

83% Answer Correctly

\({a \over 5} \)

\({7 \over 5} \)

\({5 \over 7} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.