ASVAB Arithmetic Reasoning Practice Test 707634 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

A bread recipe calls for 3\(\frac{5}{8}\) cups of flour. If you only have 1 cup, how much more flour is needed?

62% Answer Correctly
\(\frac{5}{8}\) cups
2 cups
1\(\frac{1}{8}\) cups
2\(\frac{5}{8}\) cups

Solution

The amount of flour you need is (3\(\frac{5}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{29}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups


2

What is (x3)5?

80% Answer Correctly
x15
3x5
x-2
x8

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(x3)5
x(3 * 5)
x15


3

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

56% Answer Correctly

distributive property for division

distributive property for multiplication

commutative property for multiplication

commutative 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


4

How many 8-passenger vans will it take to drive all 75 members of the football team to an away game?

81% Answer Correctly
3 vans
9 vans
10 vans
5 vans

Solution

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

vans = \( \frac{75}{8} \) = 9\(\frac{3}{8}\)

So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.


5

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

56% Answer Correctly

absolute value

least common factor

least common multiple

greatest common factor


Solution

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