ASVAB Arithmetic Reasoning Practice Test 3489 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

Which of the following is not an integer?

77% Answer Correctly

\({1 \over 2}\)

0

1

-1


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


2

What is 5\( \sqrt{3} \) x 8\( \sqrt{2} \)?

41% Answer Correctly
13\( \sqrt{2} \)
13\( \sqrt{6} \)
40\( \sqrt{6} \)
40\( \sqrt{2} \)

Solution

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

5\( \sqrt{3} \) x 8\( \sqrt{2} \)
(5 x 8)\( \sqrt{3 \times 2} \)
40\( \sqrt{6} \)


3

What is \( \frac{-6c^6}{6c^4} \)?

60% Answer Correctly
-c\(\frac{2}{3}\)
-c1\(\frac{1}{2}\)
-c-2
-c2

Solution

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

\( \frac{-6c^6}{6c^4} \)
\( \frac{-6}{6} \) c(6 - 4)
-c2


4

What is the greatest common factor of 76 and 52?

77% Answer Correctly
13
4
15
40

Solution

The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 the greatest factor 76 and 52 have in common.


5

What is \( \sqrt{\frac{25}{4}} \)?

70% Answer Correctly
2
1\(\frac{3}{4}\)
2\(\frac{1}{2}\)
1\(\frac{1}{4}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{25}{4}} \)
\( \frac{\sqrt{25}}{\sqrt{4}} \)
\( \frac{\sqrt{5^2}}{\sqrt{2^2}} \)
\( \frac{5}{2} \)
2\(\frac{1}{2}\)