ASVAB Arithmetic Reasoning Practice Test 375857 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

What is \( \frac{2}{3} \) - \( \frac{7}{11} \)?

61% Answer Correctly
\( \frac{1}{33} \)
\( \frac{3}{33} \)
1 \( \frac{5}{33} \)
\(\frac{1}{33}\)

Solution

To subtract 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:

\( \frac{2 x 11}{3 x 11} \) - \( \frac{7 x 3}{11 x 3} \)

\( \frac{22}{33} \) - \( \frac{21}{33} \)

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

\( \frac{22 - 21}{33} \) = \( \frac{1}{33} \) = \(\frac{1}{33}\)


2

What is -c7 - 7c7?

71% Answer Correctly
6c14
-8c7
-8c-7
6c7

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-1c7 - 7c7
(-1 - 7)c7
-8c7


3

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

greatest common factor

absolute value

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


4

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

78% Answer Correctly

fraction

improper fraction

mixed number

integer


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.


5

Find the average of the following numbers: 11, 3, 11, 3.

74% Answer Correctly
7
9
8
2

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 3 + 11 + 3}{4} \) = \( \frac{28}{4} \) = 7