ASVAB Arithmetic Reasoning Practice Test 433963 Results

Your Results Global Average
Questions 5 5
Correct 0 3.63
Score 0% 73%

Review

1

Solve for \( \frac{3!}{5!} \)

66% Answer Correctly
840
\( \frac{1}{20} \)
\( \frac{1}{1680} \)
\( \frac{1}{120} \)

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:

\( \frac{3!}{5!} \)
\( \frac{3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4} \)
\( \frac{1}{20} \)


2

Which of the following is not a prime number?

65% Answer Correctly

7

9

5

2


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


3

What is 7y4 x 6y3?

75% Answer Correctly
42y-1
42y
42y7
13y3

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

7y4 x 6y3
(7 x 6)y(4 + 3)
42y7


4

What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?

92% Answer Correctly
16
20
21
24

Solution

The equation for this sequence is:

an = an-1 + 4

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 4
a6 = 17 + 4
a6 = 21


5

Which of these numbers is a factor of 36?

68% Answer Correctly
9
27
14
13

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.