ASVAB Arithmetic Reasoning Practice Test 888357 Results

Your Results Global Average
Questions 5 5
Correct 0 3.10
Score 0% 62%

Review

1

Which of the following is not a prime number?

65% Answer Correctly

5

9

7

2


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


2

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
5:8
9:1
5:2
25:2

Solution

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. 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 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.


3

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

absolute value

least common multiple

greatest common factor


Solution

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


4

Solve 3 + (4 + 5) ÷ 3 x 3 - 22

53% Answer Correctly
\(\frac{4}{5}\)
\(\frac{2}{3}\)
1\(\frac{1}{7}\)
8

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (4 + 5) ÷ 3 x 3 - 22
P: 3 + (9) ÷ 3 x 3 - 22
E: 3 + 9 ÷ 3 x 3 - 4
MD: 3 + \( \frac{9}{3} \) x 3 - 4
MD: 3 + \( \frac{27}{3} \) - 4
AS: \( \frac{9}{3} \) + \( \frac{27}{3} \) - 4
AS: \( \frac{36}{3} \) - 4
AS: \( \frac{36 - 12}{3} \)
\( \frac{24}{3} \)
8


5

Which of the following is an improper fraction?

71% Answer Correctly

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)

\({2 \over 5} \)


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.