ASVAB Arithmetic Reasoning Practice Test 173271 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = b

all of these are false

b0 = 1

b1 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


2

If there were a total of 200 raffle tickets sold and you bought 16 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
8%
9%
13%
18%

Solution

You have 16 out of the total of 200 raffle tickets sold so you have a (\( \frac{16}{200} \)) x 100 = \( \frac{16 \times 100}{200} \) = \( \frac{1600}{200} \) = 8% chance to win the raffle.


3

Solve 4 + (3 + 4) ÷ 5 x 3 - 42

52% Answer Correctly
1\(\frac{1}{2}\)
4\(\frac{1}{2}\)
-7\(\frac{4}{5}\)
1\(\frac{1}{8}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 4) ÷ 5 x 3 - 42
P: 4 + (7) ÷ 5 x 3 - 42
E: 4 + 7 ÷ 5 x 3 - 16
MD: 4 + \( \frac{7}{5} \) x 3 - 16
MD: 4 + \( \frac{21}{5} \) - 16
AS: \( \frac{20}{5} \) + \( \frac{21}{5} \) - 16
AS: \( \frac{41}{5} \) - 16
AS: \( \frac{41 - 80}{5} \)
\( \frac{-39}{5} \)
-7\(\frac{4}{5}\)


4

What is the least common multiple of 8 and 10?

72% Answer Correctly
40
55
29
38

Solution

The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 have in common.


5

Find the average of the following numbers: 14, 6, 14, 6.

74% Answer Correctly
7
10
5
15

Solution

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

\( \frac{14 + 6 + 14 + 6}{4} \) = \( \frac{40}{4} \) = 10