ASVAB Arithmetic Reasoning Practice Test 384328 Results

Your Results Global Average
Questions 5 5
Correct 0 3.60
Score 0% 72%

Review

1

17 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
2
32
5
8

Solution

There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 17 people needing transportation leaving 17 - 12 = 5 who will have to find other transportation.


2

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

78% Answer Correctly

integer

fraction

mixed number

improper fraction


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.


3

A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly
27\(\frac{1}{2}\)%
15%
20%
37\(\frac{1}{2}\)%

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 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%


4

How many hours does it take a car to travel 280 miles at an average speed of 70 miles per hour?

85% Answer Correctly
7 hours
2 hours
4 hours
5 hours

Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{280mi}{70mph} \)
4 hours


5

What is 5a7 - 2a7?

71% Answer Correctly
3a7
7a49
7a-14
3a-7

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

5a7 - 2a7
(5 - 2)a7
3a7