ASVAB Arithmetic Reasoning Practice Test 384657 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

The total water usage for a city is 5,000 gallons each day. Of that total, 35% is for personal use and 61% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly
3,600
1,300
4,000
8,400

Solution

61% of the water consumption is industrial use and 35% is personal use so (61% - 35%) = 26% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 5,000 gallons = 1,300 gallons.


2

Find the average of the following numbers: 15, 13, 17, 11.

74% Answer Correctly
18
14
15
10

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{15 + 13 + 17 + 11}{4} \) = \( \frac{56}{4} \) = 14


3

Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 12 small cakes per hour. The kitchen is available for 2 hours and 25 large cakes and 210 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

41% Answer Correctly
5
6
14
12

Solution

If a single cook can bake 3 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 3 x 2 = 6 large cakes during that time. 25 large cakes are needed for the party so \( \frac{25}{6} \) = 4\(\frac{1}{6}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 12 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 12 x 2 = 24 small cakes during that time. 210 small cakes are needed for the party so \( \frac{210}{24} \) = 8\(\frac{3}{4}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 9 = 14 cooks.


4

Betty scored 87% on her final exam. If each question was worth 3 points and there were 300 possible points on the exam, how many questions did Betty answer correctly?

57% Answer Correctly
75
92
91
87

Solution

Betty scored 87% on the test meaning she earned 87% of the possible points on the test. There were 300 possible points on the test so she earned 300 x 0.87 = 261 points. Each question is worth 3 points so she got \( \frac{261}{3} \) = 87 questions right.


5

What is \( \frac{2}{7} \) x \( \frac{1}{5} \)?

72% Answer Correctly
\(\frac{1}{12}\)
\(\frac{1}{5}\)
\(\frac{2}{35}\)
\(\frac{1}{27}\)

Solution

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

\( \frac{2}{7} \) x \( \frac{1}{5} \) = \( \frac{2 x 1}{7 x 5} \) = \( \frac{2}{35} \) = \(\frac{2}{35}\)