ASVAB Arithmetic Reasoning Practice Test 190685 Results

Your Results Global Average
Questions 5 5
Correct 0 3.25
Score 0% 65%

Review

1

A tiger in a zoo has consumed 72 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 156 pounds?

56% Answer Correctly
4
7
9
1

Solution

If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 156 - 72 = 84 more pounds of food to reach 156 pounds total. At 12 pounds of food per day that's \( \frac{84}{12} \) = 7 more days.


2

What is \( \frac{1}{8} \) x \( \frac{4}{8} \)?

72% Answer Correctly
\(\frac{1}{4}\)
\(\frac{3}{10}\)
\(\frac{1}{16}\)
\(\frac{4}{15}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{8} \) x \( \frac{4}{8} \) = \( \frac{1 x 4}{8 x 8} \) = \( \frac{4}{64} \) = \(\frac{1}{16}\)


3

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

distributive

associative

PEDMAS

commutative


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.


4

8 members of a bridal party need transported to a wedding reception but there are only 3 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
2
3
5
9

Solution

There are 3 2-passenger taxis available so that's 3 x 2 = 6 total seats. There are 8 people needing transportation leaving 8 - 6 = 2 who will have to find other transportation.


5

What is \( \frac{7}{4} \) - \( \frac{7}{6} \)?

61% Answer Correctly
\( \frac{8}{12} \)
\(\frac{7}{12}\)
2 \( \frac{3}{12} \)
\( \frac{4}{12} \)

Solution

To subtract 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:

\( \frac{7 x 3}{4 x 3} \) - \( \frac{7 x 2}{6 x 2} \)

\( \frac{21}{12} \) - \( \frac{14}{12} \)

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

\( \frac{21 - 14}{12} \) = \( \frac{7}{12} \) = \(\frac{7}{12}\)