ASVAB Arithmetic Reasoning Practice Test 642183 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Bob buys two shirts, each with a regular price of $44, how much will he pay for both shirts?

57% Answer Correctly
$6.60
$48.40
$81.40
$37.40

Solution

By buying two shirts, Bob will save $44 x \( \frac{15}{100} \) = \( \frac{$44 x 15}{100} \) = \( \frac{$660}{100} \) = $6.60 on the second shirt.

So, his total cost will be
$44.00 + ($44.00 - $6.60)
$44.00 + $37.40
$81.40


2

A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly
32\(\frac{1}{2}\)%
17\(\frac{1}{2}\)%
20%
35%

Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%


3

Which of the following is not an integer?

77% Answer Correctly

\({1 \over 2}\)

1

0

-1


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


4

Solve 3 + (4 + 5) ÷ 5 x 4 - 32

53% Answer Correctly
4\(\frac{1}{2}\)
1\(\frac{1}{5}\)
1\(\frac{3}{5}\)
\(\frac{1}{4}\)

Solution

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

3 + (4 + 5) ÷ 5 x 4 - 32
P: 3 + (9) ÷ 5 x 4 - 32
E: 3 + 9 ÷ 5 x 4 - 9
MD: 3 + \( \frac{9}{5} \) x 4 - 9
MD: 3 + \( \frac{36}{5} \) - 9
AS: \( \frac{15}{5} \) + \( \frac{36}{5} \) - 9
AS: \( \frac{51}{5} \) - 9
AS: \( \frac{51 - 45}{5} \)
\( \frac{6}{5} \)
1\(\frac{1}{5}\)


5

What is -3z4 - 5z4?

71% Answer Correctly
2z4
2z-8
-8z4
8z-4

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:

-3z4 - 5z4
(-3 - 5)z4
-8z4