ASVAB Arithmetic Reasoning Practice Test 16439 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

If a mayor is elected with 90% of the votes cast and 45% of a town's 10,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly
2,430
3,420
2,925
4,050

Solution

If 45% of the town's 10,000 voters cast ballots the number of votes cast is:

(\( \frac{45}{100} \)) x 10,000 = \( \frac{450,000}{100} \) = 4,500

The mayor got 90% of the votes cast which is:

(\( \frac{90}{100} \)) x 4,500 = \( \frac{405,000}{100} \) = 4,050 votes.


2

Solve 2 + (2 + 2) ÷ 3 x 4 - 22

53% Answer Correctly
3\(\frac{1}{3}\)
\(\frac{5}{7}\)
1
\(\frac{2}{7}\)

Solution

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

2 + (2 + 2) ÷ 3 x 4 - 22
P: 2 + (4) ÷ 3 x 4 - 22
E: 2 + 4 ÷ 3 x 4 - 4
MD: 2 + \( \frac{4}{3} \) x 4 - 4
MD: 2 + \( \frac{16}{3} \) - 4
AS: \( \frac{6}{3} \) + \( \frac{16}{3} \) - 4
AS: \( \frac{22}{3} \) - 4
AS: \( \frac{22 - 12}{3} \)
\( \frac{10}{3} \)
3\(\frac{1}{3}\)


3

If the ratio of home fans to visiting fans in a crowd is 4:1 and all 50,000 seats in a stadium are filled, how many home fans are in attendance?

49% Answer Correctly
39,200
40,000
24,000
36,000

Solution

A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:

50,000 fans x \( \frac{4}{5} \) = \( \frac{200000}{5} \) = 40,000 fans.


4

What is -6c5 - 5c5?

71% Answer Correctly
-c5
11c-5
-11c5
-c-10

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-6c5 - 5c5
(-6 - 5)c5
-11c5


5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Monty buys two shirts, each with a regular price of $33, how much money will he save?

70% Answer Correctly
$3.30
$11.55
$1.65
$8.25

Solution

By buying two shirts, Monty will save $33 x \( \frac{5}{100} \) = \( \frac{$33 x 5}{100} \) = \( \frac{$165}{100} \) = $1.65 on the second shirt.