ASVAB Arithmetic Reasoning Practice Test 355110 Results

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

Review

1

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

absolute value

greatest common factor

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


2

What is \( \frac{2}{5} \) x \( \frac{4}{9} \)?

72% Answer Correctly
\(\frac{8}{45}\)
\(\frac{8}{9}\)
\(\frac{1}{14}\)
\(\frac{1}{15}\)

Solution

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

\( \frac{2}{5} \) x \( \frac{4}{9} \) = \( \frac{2 x 4}{5 x 9} \) = \( \frac{8}{45} \) = \(\frac{8}{45}\)


3

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Bob buys two shirts, each with a regular price of $18, how much will he pay for both shirts?

57% Answer Correctly
$27.00
$22.50
$23.40
$9.00

Solution

By buying two shirts, Bob will save $18 x \( \frac{50}{100} \) = \( \frac{$18 x 50}{100} \) = \( \frac{$900}{100} \) = $9.00 on the second shirt.

So, his total cost will be
$18.00 + ($18.00 - $9.00)
$18.00 + $9.00
$27.00


4

4! = ?

85% Answer Correctly

3 x 2 x 1

4 x 3

5 x 4 x 3 x 2 x 1

4 x 3 x 2 x 1


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


5

If a mayor is elected with 59% of the votes cast and 49% of a town's 40,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
9,996
11,564
11,368
11,760

Solution

If 49% of the town's 40,000 voters cast ballots the number of votes cast is:

(\( \frac{49}{100} \)) x 40,000 = \( \frac{1,960,000}{100} \) = 19,600

The mayor got 59% of the votes cast which is:

(\( \frac{59}{100} \)) x 19,600 = \( \frac{1,156,400}{100} \) = 11,564 votes.