ASVAB Arithmetic Reasoning Practice Test 138765 Results

Your Results Global Average
Questions 5 5
Correct 0 3.52
Score 0% 70%

Review

1

How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?

52% Answer Correctly
4
5
8
2

Solution

To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4


2

What is (y3)2?

80% Answer Correctly
y-1
y
y5
y6

Solution

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

(y3)2
y(3 * 2)
y6


3

How many 7-passenger vans will it take to drive all 75 members of the football team to an away game?

81% Answer Correctly
14 vans
8 vans
11 vans
6 vans

Solution

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

vans = \( \frac{75}{7} \) = 10\(\frac{5}{7}\)

So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.


4

Which of the following is an improper fraction?

70% Answer Correctly

\({2 \over 5} \)

\(1 {2 \over 5} \)

\({a \over 5} \)

\({7 \over 5} \)


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

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Charlie buys two shirts, each with a regular price of $42, how much money will he save?

70% Answer Correctly
$12.60
$14.70
$8.40
$16.80

Solution

By buying two shirts, Charlie will save $42 x \( \frac{20}{100} \) = \( \frac{$42 x 20}{100} \) = \( \frac{$840}{100} \) = $8.40 on the second shirt.