ASVAB Arithmetic Reasoning Practice Test 399336 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

16 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
8
1
6
4

Solution

There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.


2

What is 7\( \sqrt{6} \) x 6\( \sqrt{2} \)?

41% Answer Correctly
42\( \sqrt{8} \)
84\( \sqrt{3} \)
42\( \sqrt{6} \)
42\( \sqrt{2} \)

Solution

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

7\( \sqrt{6} \) x 6\( \sqrt{2} \)
(7 x 6)\( \sqrt{6 \times 2} \)
42\( \sqrt{12} \)

Now we need to simplify the radical:

42\( \sqrt{12} \)
42\( \sqrt{3 \times 4} \)
42\( \sqrt{3 \times 2^2} \)
(42)(2)\( \sqrt{3} \)
84\( \sqrt{3} \)


3

What is 3c6 + 7c6?

66% Answer Correctly
4c-6
10c6
-4c-6
-4c6

Solution

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

3c6 + 7c6
(3 + 7)c6
10c6


4

Which of these numbers is a factor of 64?

69% Answer Correctly
8
58
4
15

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.


5

What is \( \frac{4}{8} \) x \( \frac{4}{7} \)?

72% Answer Correctly
\(\frac{2}{7}\)
\(\frac{1}{3}\)
\(\frac{1}{36}\)
2\(\frac{2}{7}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{8} \) x \( \frac{4}{7} \) = \( \frac{4 x 4}{8 x 7} \) = \( \frac{16}{56} \) = \(\frac{2}{7}\)