ASVAB Arithmetic Reasoning Practice Test 102004 Results

Your Results Global Average
Questions 5 5
Correct 0 3.59
Score 0% 72%

Review

1

What is the greatest common factor of 68 and 52?

77% Answer Correctly
36
4
35
23

Solution

The factors of 68 are [1, 2, 4, 17, 34, 68] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 the greatest factor 68 and 52 have in common.


2

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

78% Answer Correctly

fraction

integer

improper fraction

mixed number


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.


3

Bob loaned Latoya $800 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$840
$816
$872
$808

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $800
i = 0.02 x $800

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $800 + $16
total = $816


4

What is \( \sqrt{\frac{36}{81}} \)?

70% Answer Correctly
\(\frac{4}{5}\)
1\(\frac{1}{3}\)
2
\(\frac{2}{3}\)

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:

\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)


5

Convert 0.0006982 to scientific notation.

62% Answer Correctly
69.82 x 10-5
6.982 x 10-5
6.982 x 10-4
6.982 x 104

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:

0.0006982 in scientific notation is 6.982 x 10-4