ASVAB Arithmetic Reasoning Practice Test 553240 Results

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

Review

1

4! = ?

85% Answer Correctly

5 x 4 x 3 x 2 x 1

3 x 2 x 1

4 x 3

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


2

What is (x4)3?

80% Answer Correctly
x12
x
4x3
3x4

Solution

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

(x4)3
x(4 * 3)
x12


3

Convert 2,583,000 to scientific notation.

62% Answer Correctly
2.583 x 106
2.583 x 107
2.583 x 10-6
2.583 x 105

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

2,583,000 in scientific notation is 2.583 x 106


4

Which of the following is not an integer?

77% Answer Correctly

1

\({1 \over 2}\)

-1

0


Solution

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


5

What is \( \frac{5}{3} \) + \( \frac{2}{11} \)?

60% Answer Correctly
1\(\frac{28}{33}\)
\( \frac{3}{7} \)
\( \frac{3}{33} \)
2 \( \frac{3}{33} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 11}{3 x 11} \) + \( \frac{2 x 3}{11 x 3} \)

\( \frac{55}{33} \) + \( \frac{6}{33} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{55 + 6}{33} \) = \( \frac{61}{33} \) = 1\(\frac{28}{33}\)