ASVAB Arithmetic Reasoning Practice Test 678182 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

A tiger in a zoo has consumed 126 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 196 pounds?

56% Answer Correctly
6
1
5
12

Solution

If the tiger has consumed 126 pounds of food in 9 days that's \( \frac{126}{9} \) = 14 pounds of food per day. The tiger needs to consume 196 - 126 = 70 more pounds of food to reach 196 pounds total. At 14 pounds of food per day that's \( \frac{70}{14} \) = 5 more days.


2

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Ezra buys two shirts, each with a regular price of $24, how much will he pay for both shirts?

57% Answer Correctly
$40.80
$16.80
$32.40
$36.00

Solution

By buying two shirts, Ezra will save $24 x \( \frac{30}{100} \) = \( \frac{$24 x 30}{100} \) = \( \frac{$720}{100} \) = $7.20 on the second shirt.

So, his total cost will be
$24.00 + ($24.00 - $7.20)
$24.00 + $16.80
$40.80


3

What is \( \frac{12\sqrt{16}}{4\sqrt{8}} \)?

71% Answer Correctly
\(\frac{1}{2}\) \( \sqrt{\frac{1}{3}} \)
2 \( \sqrt{\frac{1}{3}} \)
3 \( \sqrt{2} \)
2 \( \sqrt{3} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{12\sqrt{16}}{4\sqrt{8}} \)
\( \frac{12}{4} \) \( \sqrt{\frac{16}{8}} \)
3 \( \sqrt{2} \)


4

What is \( 4 \)\( \sqrt{45} \) + \( 4 \)\( \sqrt{5} \)

35% Answer Correctly
16\( \sqrt{225} \)
8\( \sqrt{9} \)
16\( \sqrt{5} \)
8\( \sqrt{5} \)

Solution

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

4\( \sqrt{45} \) + 4\( \sqrt{5} \)
4\( \sqrt{9 \times 5} \) + 4\( \sqrt{5} \)
4\( \sqrt{3^2 \times 5} \) + 4\( \sqrt{5} \)
(4)(3)\( \sqrt{5} \) + 4\( \sqrt{5} \)
12\( \sqrt{5} \) + 4\( \sqrt{5} \)

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

12\( \sqrt{5} \) + 4\( \sqrt{5} \)
(12 + 4)\( \sqrt{5} \)
16\( \sqrt{5} \)


5

If \( \left|z - 1\right| \) - 7 = 7, which of these is a possible value for z?

62% Answer Correctly
3
-13
-17
18

Solution

First, solve for \( \left|z - 1\right| \):

\( \left|z - 1\right| \) - 7 = 7
\( \left|z - 1\right| \) = 7 + 7
\( \left|z - 1\right| \) = 14

The value inside the absolute value brackets can be either positive or negative so (z - 1) must equal + 14 or -14 for \( \left|z - 1\right| \) to equal 14:

z - 1 = 14
z = 14 + 1
z = 15
z - 1 = -14
z = -14 + 1
z = -13

So, z = -13 or z = 15.