ASVAB Arithmetic Reasoning Practice Test 88038 Results

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

Review

1

A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly
35%
22\(\frac{1}{2}\)%
37\(\frac{1}{2}\)%
15%
Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%

2

4! = ?

84% Answer Correctly

3 x 2 x 1

4 x 3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3
Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

3

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

78% Answer Correctly

improper fraction

integer

fraction

mixed number
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

Monty loaned Charlie $1,500 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$21
$120
$40
$18
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 $1,500
i = 0.08 x $1,500
i = $120

5

Which of the following is an improper fraction?

70% Answer Correctly

\({a \over 5} \)

\({2 \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)
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.