ASVAB Arithmetic Reasoning Practice Test 203767 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

If a car travels 25 miles in 1 hour, what is the average speed?

86% Answer Correctly
75 mph
50 mph
35 mph
25 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{25mi}{1h} \)
25 mph


2

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.


3

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.


4

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

56% Answer Correctly

least common factor

greatest common factor

least common multiple

absolute value


Solution

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


5

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly
25%
30%
22\(\frac{1}{2}\)%
27\(\frac{1}{2}\)%

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 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%