ASVAB Arithmetic Reasoning Practice Test 949046 Results

Your Results Global Average
Questions 5 5
Correct 0 3.60
Score 0% 72%

Review

1

What is (y4)5?

80% Answer Correctly
y
y-1
y20
5y4

Solution

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

(y4)5
y(4 * 5)
y20


2

Which of the following is a mixed number?

82% Answer Correctly

\({a \over 5} \)

\({5 \over 7} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


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.


3

Solve for \( \frac{4!}{3!} \)

67% Answer Correctly
7
4
\( \frac{1}{210} \)
\( \frac{1}{7} \)

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{4!}{3!} \)
\( \frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{4}{1} \)
4


4

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

78% Answer Correctly

fraction

improper fraction

mixed number

integer


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.


5

If a mayor is elected with 80% of the votes cast and 76% of a town's 17,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
8,915
10,336
8,527
7,106

Solution

If 76% of the town's 17,000 voters cast ballots the number of votes cast is:

(\( \frac{76}{100} \)) x 17,000 = \( \frac{1,292,000}{100} \) = 12,920

The mayor got 80% of the votes cast which is:

(\( \frac{80}{100} \)) x 12,920 = \( \frac{1,033,600}{100} \) = 10,336 votes.