ASVAB Arithmetic Reasoning Practice Test 435206 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = b

b1 = 1

all of these are false

b0 = 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

Which of the following is not a prime number?

65% Answer Correctly

2

9

5

7


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

Roger loaned Monica $1,500 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$1,605
$1,530
$1,560
$1,575

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 $1,500
i = 0.04 x $1,500

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $1,500 + $60
total = $1,560


4

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

least common multiple

least common factor

absolute value

greatest common factor


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


5

If a mayor is elected with 79% of the votes cast and 55% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
10,296
10,428
8,976
11,748

Solution

If 55% of the town's 24,000 voters cast ballots the number of votes cast is:

(\( \frac{55}{100} \)) x 24,000 = \( \frac{1,320,000}{100} \) = 13,200

The mayor got 79% of the votes cast which is:

(\( \frac{79}{100} \)) x 13,200 = \( \frac{1,042,800}{100} \) = 10,428 votes.