ASVAB Arithmetic Reasoning Practice Test 796186 Results

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

Review

1

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

greatest common factor

least common multiple

absolute value

least common factor


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


2

What is \( 7 \)\( \sqrt{20} \) - \( 3 \)\( \sqrt{5} \)

39% Answer Correctly
11\( \sqrt{5} \)
4\( \sqrt{5} \)
4\( \sqrt{100} \)
21\( \sqrt{20} \)

Solution

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

7\( \sqrt{20} \) - 3\( \sqrt{5} \)
7\( \sqrt{4 \times 5} \) - 3\( \sqrt{5} \)
7\( \sqrt{2^2 \times 5} \) - 3\( \sqrt{5} \)
(7)(2)\( \sqrt{5} \) - 3\( \sqrt{5} \)
14\( \sqrt{5} \) - 3\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

14\( \sqrt{5} \) - 3\( \sqrt{5} \)
(14 - 3)\( \sqrt{5} \)
11\( \sqrt{5} \)


3

A tiger in a zoo has consumed 98 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 154 pounds?

56% Answer Correctly
2
3
10
4

Solution

If the tiger has consumed 98 pounds of food in 7 days that's \( \frac{98}{7} \) = 14 pounds of food per day. The tiger needs to consume 154 - 98 = 56 more pounds of food to reach 154 pounds total. At 14 pounds of food per day that's \( \frac{56}{14} \) = 4 more days.


4

4! = ?

85% Answer Correctly

3 x 2 x 1

4 x 3 x 2 x 1

5 x 4 x 3 x 2 x 1

4 x 3


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

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Frank buys two shirts, each with a regular price of $50, how much will he pay for both shirts?

57% Answer Correctly
$75.00
$77.50
$55.00
$27.50

Solution

By buying two shirts, Frank will save $50 x \( \frac{45}{100} \) = \( \frac{$50 x 45}{100} \) = \( \frac{$2250}{100} \) = $22.50 on the second shirt.

So, his total cost will be
$50.00 + ($50.00 - $22.50)
$50.00 + $27.50
$77.50