ASVAB Arithmetic Reasoning Practice Test 949230 Results

Your Results Global Average
Questions 5 5
Correct 0 3.48
Score 0% 70%

Review

1

What is x4 x 2x3?

75% Answer Correctly
3x3
2x12
2x7
2x4

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

x4 x 2x3
(1 x 2)x(4 + 3)
2x7


2

If there were a total of 50 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
5%
1%
6%
17%

Solution

You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 5% chance to win the raffle.


3

Simplify \( \frac{20}{72} \).

77% Answer Correctly
\( \frac{1}{2} \)
\( \frac{5}{18} \)
\( \frac{2}{5} \)
\( \frac{5}{11} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{20}{72} \) = \( \frac{\frac{20}{4}}{\frac{72}{4}} \) = \( \frac{5}{18} \)


4

Convert y-5 to remove the negative exponent.

67% Answer Correctly
\( \frac{1}{y^5} \)
\( \frac{1}{y^{-5}} \)
\( \frac{5}{y} \)
\( \frac{-1}{-5y} \)

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.


5

Which of these numbers is a factor of 56?

68% Answer Correctly
19
15
14
21

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.