ASVAB Arithmetic Reasoning Practice Test 403426 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

What is the least common multiple of 2 and 10?

72% Answer Correctly
8
2
1
10

Solution

The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 have in common.


2

Which of the following is not a prime number?

65% Answer Correctly

2

9

7

5


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


3

What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?

92% Answer Correctly
8
7
15
6

Solution

The equation for this sequence is:

an = an-1 + 1

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 1
a6 = 5 + 1
a6 = 6


4

What is \( 4 \)\( \sqrt{8} \) + \( 8 \)\( \sqrt{2} \)

35% Answer Correctly
12\( \sqrt{4} \)
12\( \sqrt{8} \)
32\( \sqrt{4} \)
16\( \sqrt{2} \)

Solution

To add these radicals together their radicands must be the same:

4\( \sqrt{8} \) + 8\( \sqrt{2} \)
4\( \sqrt{4 \times 2} \) + 8\( \sqrt{2} \)
4\( \sqrt{2^2 \times 2} \) + 8\( \sqrt{2} \)
(4)(2)\( \sqrt{2} \) + 8\( \sqrt{2} \)
8\( \sqrt{2} \) + 8\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

8\( \sqrt{2} \) + 8\( \sqrt{2} \)
(8 + 8)\( \sqrt{2} \)
16\( \sqrt{2} \)


5

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

70% Answer Correctly
2\(\frac{1}{4}\)
\(\frac{3}{8}\)
\(\frac{2}{7}\)
\(\frac{2}{3}\)

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:

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