ASVAB Arithmetic Reasoning Practice Test 264189 Results

Your Results Global Average
Questions 5 5
Correct 0 3.38
Score 0% 68%

Review

1

What is \( \frac{2}{9} \) x \( \frac{3}{8} \)?

72% Answer Correctly
\(\frac{2}{15}\)
\(\frac{4}{15}\)
\(\frac{3}{28}\)
\(\frac{1}{12}\)

Solution

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

\( \frac{2}{9} \) x \( \frac{3}{8} \) = \( \frac{2 x 3}{9 x 8} \) = \( \frac{6}{72} \) = \(\frac{1}{12}\)


2

If a mayor is elected with 78% of the votes cast and 32% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
4,378
4,685
5,683
5,990

Solution

If 32% of the town's 24,000 voters cast ballots the number of votes cast is:

(\( \frac{32}{100} \)) x 24,000 = \( \frac{768,000}{100} \) = 7,680

The mayor got 78% of the votes cast which is:

(\( \frac{78}{100} \)) x 7,680 = \( \frac{599,040}{100} \) = 5,990 votes.


3

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

fraction

mixed number

integer

improper fraction


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


4

Which of the following is an improper fraction?

70% Answer Correctly

\({2 \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)

\({a \over 5} \)


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

What is -3y6 + 5y6?

66% Answer Correctly
2y-12
8y-6
2y6
2y12

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-3y6 + 5y6
(-3 + 5)y6
2y6