ASVAB Arithmetic Reasoning Practice Test 281806 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

Damon loaned Monty $1,200 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$105
$88
$108
$78

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 = 0.09 x $1,200
i = $108


2

Roger loaned Diane $400 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$432
$408
$428
$404

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 = 0.07 x $400

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

total = $400 + $28
total = $428


3

What is the least common multiple of 4 and 8?

72% Answer Correctly
30
26
4
8

Solution

The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.


4

The total water usage for a city is 40,000 gallons each day. Of that total, 29% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
13,200
1,000
1,950
1,700

Solution

62% of the water consumption is industrial use and 29% is personal use so (62% - 29%) = 33% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{33}{100} \) x 40,000 gallons = 13,200 gallons.


5

Which of the following is a mixed number?

82% Answer Correctly

\({7 \over 5} \)

\(1 {2 \over 5} \)

\({a \over 5} \)

\({5 \over 7} \)


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.