ASVAB Arithmetic Reasoning Practice Test 499981 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

6 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
9
2
7
5

Solution

There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 6 people needing transportation leaving 6 - 4 = 2 who will have to find other transportation.


2

What is \( \frac{9}{4} \) - \( \frac{7}{12} \)?

61% Answer Correctly
\( \frac{8}{13} \)
1\(\frac{2}{3}\)
\( \frac{3}{12} \)
1 \( \frac{5}{12} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.

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

\( \frac{9 x 3}{4 x 3} \) - \( \frac{7 x 1}{12 x 1} \)

\( \frac{27}{12} \) - \( \frac{7}{12} \)

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

\( \frac{27 - 7}{12} \) = \( \frac{20}{12} \) = 1\(\frac{2}{3}\)


3

What is \( \frac{8y^6}{3y^3} \)?

60% Answer Correctly
2\(\frac{2}{3}\)y2
2\(\frac{2}{3}\)y-3
\(\frac{3}{8}\)y-3
2\(\frac{2}{3}\)y3

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:

\( \frac{8y^6}{3y^3} \)
\( \frac{8}{3} \) y(6 - 3)
2\(\frac{2}{3}\)y3


4

Alex loaned Charlie $400 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$117
$55
$12
$78

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 $400
i = 0.03 x $400
i = $12


5

Which of these numbers is a factor of 32?

68% Answer Correctly
30
4
28
15

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.