ASVAB Arithmetic Reasoning Practice Test 573606 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

How many 15-passenger vans will it take to drive all 39 members of the football team to an away game?

80% Answer Correctly
4 vans
6 vans
3 vans
7 vans

Solution

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

vans = \( \frac{39}{15} \) = 2\(\frac{3}{5}\)

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


2

Roger loaned Diane $1,500 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$1,635
$1,530
$1,515
$1,575

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,500
i = 0.01 x $1,500

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $1,500 + $15
total = $1,515


3

Solve 2 + (3 + 4) ÷ 3 x 5 - 52

52% Answer Correctly
1\(\frac{1}{2}\)
-11\(\frac{1}{3}\)
1\(\frac{2}{5}\)
1

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (3 + 4) ÷ 3 x 5 - 52
P: 2 + (7) ÷ 3 x 5 - 52
E: 2 + 7 ÷ 3 x 5 - 25
MD: 2 + \( \frac{7}{3} \) x 5 - 25
MD: 2 + \( \frac{35}{3} \) - 25
AS: \( \frac{6}{3} \) + \( \frac{35}{3} \) - 25
AS: \( \frac{41}{3} \) - 25
AS: \( \frac{41 - 75}{3} \)
\( \frac{-34}{3} \)
-11\(\frac{1}{3}\)


4

Which of the following is an improper fraction?

70% Answer Correctly

\(1 {2 \over 5} \)

\({2 \over 5} \)

\({a \over 5} \)

\({7 \over 5} \)


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.


5

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

56% Answer Correctly

least common multiple

greatest common factor

absolute value

least common factor


Solution

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