ASVAB Arithmetic Reasoning Practice Test 475150 Results

Your Results Global Average
Questions 5 5
Correct 0 3.45
Score 0% 69%

Review

1

Which of the following is not an integer?

77% Answer Correctly

1

\({1 \over 2}\)

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.


2

What is \( \sqrt{\frac{4}{25}} \)?

70% Answer Correctly
\(\frac{2}{5}\)
2\(\frac{1}{4}\)
\(\frac{1}{4}\)
\(\frac{4}{5}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{25}} \)
\( \frac{\sqrt{4}}{\sqrt{25}} \)
\( \frac{\sqrt{2^2}}{\sqrt{5^2}} \)
\(\frac{2}{5}\)


3

What is \( \frac{9}{4} \) + \( \frac{9}{6} \)?

60% Answer Correctly
\( \frac{8}{12} \)
2 \( \frac{5}{12} \)
3\(\frac{3}{4}\)
1 \( \frac{1}{10} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{9 x 3}{4 x 3} \) + \( \frac{9 x 2}{6 x 2} \)

\( \frac{27}{12} \) + \( \frac{18}{12} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{27 + 18}{12} \) = \( \frac{45}{12} \) = 3\(\frac{3}{4}\)


4

How many 9-passenger vans will it take to drive all 93 members of the football team to an away game?

81% Answer Correctly
11 vans
13 vans
6 vans
3 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{93}{9} \) = 10\(\frac{1}{3}\)

So, it will take 10 full vans and one partially full van to transport the entire team making a total of 11 vans.


5

A tiger in a zoo has consumed 72 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 96 pounds?

56% Answer Correctly
6
2
3
5

Solution

If the tiger has consumed 72 pounds of food in 9 days that's \( \frac{72}{9} \) = 8 pounds of food per day. The tiger needs to consume 96 - 72 = 24 more pounds of food to reach 96 pounds total. At 8 pounds of food per day that's \( \frac{24}{8} \) = 3 more days.