ASVAB Arithmetic Reasoning Practice Test 68369 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

absolute value

greatest common factor

least common factor

least common multiple


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


2

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = -7

a = 7

none of these is correct

a = 7 or a = -7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).


3

A bread recipe calls for 3\(\frac{1}{2}\) cups of flour. If you only have \(\frac{7}{8}\) cup, how much more flour is needed?

62% Answer Correctly
2\(\frac{5}{8}\) cups
1\(\frac{3}{8}\) cups
2\(\frac{1}{4}\) cups
3\(\frac{5}{8}\) cups

Solution

The amount of flour you need is (3\(\frac{1}{2}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{28}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups


4

What is 5\( \sqrt{7} \) x 2\( \sqrt{8} \)?

41% Answer Correctly
10\( \sqrt{15} \)
10\( \sqrt{8} \)
7\( \sqrt{8} \)
20\( \sqrt{14} \)

Solution

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

5\( \sqrt{7} \) x 2\( \sqrt{8} \)
(5 x 2)\( \sqrt{7 \times 8} \)
10\( \sqrt{56} \)

Now we need to simplify the radical:

10\( \sqrt{56} \)
10\( \sqrt{14 \times 4} \)
10\( \sqrt{14 \times 2^2} \)
(10)(2)\( \sqrt{14} \)
20\( \sqrt{14} \)


5

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

78% Answer Correctly

mixed number

integer

fraction

improper fraction


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.