ASVAB Arithmetic Reasoning Practice Test 935277 Results

Your Results Global Average
Questions 5 5
Correct 0 2.66
Score 0% 53%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Ezra buys two shirts, each with a regular price of $29, how much money will he save?

70% Answer Correctly
$7.25
$5.80
$8.70
$1.45

Solution

By buying two shirts, Ezra will save $29 x \( \frac{5}{100} \) = \( \frac{$29 x 5}{100} \) = \( \frac{$145}{100} \) = $1.45 on the second shirt.


2

53% Answer Correctly
3.2
1.6
1
0.6

Solution


1


3

Solve for \( \frac{3!}{2!} \)

67% Answer Correctly
5
336
7
3

Solution

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{3!}{2!} \)
\( \frac{3 \times 2 \times 1}{2 \times 1} \)
\( \frac{3}{1} \)
3


4

Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 13 small cakes per hour. The kitchen is available for 4 hours and 40 large cakes and 190 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

41% Answer Correctly
9
5
11
12

Solution

If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 40 large cakes are needed for the party so \( \frac{40}{8} \) = 5 cooks are needed to bake the required number of large cakes.

If a single cook can bake 13 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 13 x 4 = 52 small cakes during that time. 190 small cakes are needed for the party so \( \frac{190}{52} \) = 3\(\frac{17}{26}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 4 = 9 cooks.


5

What is \( 9 \)\( \sqrt{8} \) + \( 8 \)\( \sqrt{2} \)

35% Answer Correctly
17\( \sqrt{2} \)
26\( \sqrt{2} \)
72\( \sqrt{4} \)
17\( \sqrt{8} \)

Solution

To add these radicals together their radicands must be the same:

9\( \sqrt{8} \) + 8\( \sqrt{2} \)
9\( \sqrt{4 \times 2} \) + 8\( \sqrt{2} \)
9\( \sqrt{2^2 \times 2} \) + 8\( \sqrt{2} \)
(9)(2)\( \sqrt{2} \) + 8\( \sqrt{2} \)
18\( \sqrt{2} \) + 8\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

18\( \sqrt{2} \) + 8\( \sqrt{2} \)
(18 + 8)\( \sqrt{2} \)
26\( \sqrt{2} \)