ASVAB Arithmetic Reasoning Practice Test 779808 Results

Your Results Global Average
Questions 5 5
Correct 0 3.06
Score 0% 61%

Review

1

If a mayor is elected with 89% of the votes cast and 61% of a town's 22,000 voters cast a vote, how many votes did the mayor receive?

50% Answer Correctly
11,944
10,468
11,273
9,662

Solution

If 61% of the town's 22,000 voters cast ballots the number of votes cast is:

(\( \frac{61}{100} \)) x 22,000 = \( \frac{1,342,000}{100} \) = 13,420

The mayor got 89% of the votes cast which is:

(\( \frac{89}{100} \)) x 13,420 = \( \frac{1,194,380}{100} \) = 11,944 votes.


2

What is \( \frac{3}{7} \) ÷ \( \frac{1}{5} \)?

68% Answer Correctly
\(\frac{2}{35}\)
\(\frac{8}{45}\)
2\(\frac{1}{7}\)
\(\frac{2}{27}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{7} \) ÷ \( \frac{1}{5} \) = \( \frac{3}{7} \) x \( \frac{5}{1} \)

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

\( \frac{3}{7} \) x \( \frac{5}{1} \) = \( \frac{3 x 5}{7 x 1} \) = \( \frac{15}{7} \) = 2\(\frac{1}{7}\)


3

What is 4\( \sqrt{8} \) x 4\( \sqrt{5} \)?

41% Answer Correctly
8\( \sqrt{5} \)
16\( \sqrt{8} \)
32\( \sqrt{10} \)
16\( \sqrt{5} \)

Solution

To multiply terms with radicals, multiply the coefficients and radicands separately:

4\( \sqrt{8} \) x 4\( \sqrt{5} \)
(4 x 4)\( \sqrt{8 \times 5} \)
16\( \sqrt{40} \)

Now we need to simplify the radical:

16\( \sqrt{40} \)
16\( \sqrt{10 \times 4} \)
16\( \sqrt{10 \times 2^2} \)
(16)(2)\( \sqrt{10} \)
32\( \sqrt{10} \)


4

Which of the following is an improper fraction?

70% Answer Correctly

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({2 \over 5} \)

\({a \over 5} \)


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

Find the average of the following numbers: 12, 10, 12, 10.

75% Answer Correctly
15
13
7
11

Solution

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

\( \frac{12 + 10 + 12 + 10}{4} \) = \( \frac{44}{4} \) = 11