ASVAB Arithmetic Reasoning Practice Test 506373 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

How many 15-passenger vans will it take to drive all 44 members of the football team to an away game?

81% Answer Correctly
11 vans
6 vans
5 vans
3 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{44}{15} \) = 2\(\frac{14}{15}\)

So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.


2

Which of the following is not a prime number?

65% Answer Correctly

2

9

5

7


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.


3

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
37\(\frac{1}{2}\)%
25%
27\(\frac{1}{2}\)%
22\(\frac{1}{2}\)%

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%


4

The total water usage for a city is 45,000 gallons each day. Of that total, 11% is for personal use and 32% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
9,300
6,300
6,600
9,450

Solution

32% of the water consumption is industrial use and 11% is personal use so (32% - 11%) = 21% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{21}{100} \) x 45,000 gallons = 9,450 gallons.


5

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = b

all of these are false

b1 = 1

b0 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).