ASVAB Arithmetic Reasoning Practice Test 987501 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Which of these numbers is a factor of 28?

68% Answer Correctly
28
26
17
13

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.


2

What is (y5)2?

79% Answer Correctly
y10
2y5
y7
5y2

Solution

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

(y5)2
y(5 * 2)
y10


3

What is \( \frac{21\sqrt{45}}{7\sqrt{9}} \)?

71% Answer Correctly
5 \( \sqrt{3} \)
\(\frac{1}{5}\) \( \sqrt{\frac{1}{3}} \)
3 \( \sqrt{5} \)
3 \( \sqrt{\frac{1}{5}} \)

Solution

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

\( \frac{21\sqrt{45}}{7\sqrt{9}} \)
\( \frac{21}{7} \) \( \sqrt{\frac{45}{9}} \)
3 \( \sqrt{5} \)


4

Which of the following is not a prime number?

65% Answer Correctly

9

5

2

7


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.


5

Solve 4 + (3 + 4) ÷ 4 x 3 - 42

52% Answer Correctly
\(\frac{5}{9}\)
-6\(\frac{3}{4}\)
\(\frac{2}{7}\)
\(\frac{1}{3}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 4) ÷ 4 x 3 - 42
P: 4 + (7) ÷ 4 x 3 - 42
E: 4 + 7 ÷ 4 x 3 - 16
MD: 4 + \( \frac{7}{4} \) x 3 - 16
MD: 4 + \( \frac{21}{4} \) - 16
AS: \( \frac{16}{4} \) + \( \frac{21}{4} \) - 16
AS: \( \frac{37}{4} \) - 16
AS: \( \frac{37 - 64}{4} \)
\( \frac{-27}{4} \)
-6\(\frac{3}{4}\)