ASVAB Arithmetic Reasoning Practice Test 918511 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

56% Answer Correctly

commutative property for multiplication

commutative property for division

distributive property for multiplication

distributive property for division


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


2

5 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
2
9
7
1

Solution

There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 5 people needing transportation leaving 5 - 4 = 1 who will have to find other transportation.


3

What is \( \frac{4}{9} \) x \( \frac{3}{7} \)?

72% Answer Correctly
\(\frac{4}{21}\)
\(\frac{1}{21}\)
\(\frac{1}{14}\)
1\(\frac{1}{3}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{9} \) x \( \frac{3}{7} \) = \( \frac{4 x 3}{9 x 7} \) = \( \frac{12}{63} \) = \(\frac{4}{21}\)


4

A tiger in a zoo has consumed 55 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 75 pounds?

56% Answer Correctly
9
1
4
5

Solution

If the tiger has consumed 55 pounds of food in 11 days that's \( \frac{55}{11} \) = 5 pounds of food per day. The tiger needs to consume 75 - 55 = 20 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{20}{5} \) = 4 more days.


5

A triathlon course includes a 200m swim, a 40.5km bike ride, and a 3.0km run. What is the total length of the race course?

69% Answer Correctly
43.7km
40.2km
31.4km
40.5km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 40.5km + 3.0km
total distance = 43.7km