ASVAB Arithmetic Reasoning Practice Test 672306 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

What is \( \frac{4}{8} \) - \( \frac{5}{10} \)?

61% Answer Correctly
\( \frac{2}{40} \)
\( \frac{5}{40} \)
\( \frac{3}{7} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{4 x 5}{8 x 5} \) - \( \frac{5 x 4}{10 x 4} \)

\( \frac{20}{40} \) - \( \frac{20}{40} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{20 - 20}{40} \) = \( \frac{0}{40} \) =


2

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
9:8
3:1
49:2
9:2

Solution

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.


3

Which of the following is not an integer?

77% Answer Correctly

-1

1

0

\({1 \over 2}\)


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


4

The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 48% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
11,550
5,200
13,200
8,000

Solution

48% of the water consumption is industrial use and 32% is personal use so (48% - 32%) = 16% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{16}{100} \) x 50,000 gallons = 8,000 gallons.


5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Frank buys two shirts, each with a regular price of $25, how much will he pay for both shirts?

57% Answer Correctly
$11.25
$31.25
$38.75
$13.75

Solution

By buying two shirts, Frank will save $25 x \( \frac{45}{100} \) = \( \frac{$25 x 45}{100} \) = \( \frac{$1125}{100} \) = $11.25 on the second shirt.

So, his total cost will be
$25.00 + ($25.00 - $11.25)
$25.00 + $13.75
$38.75