ASVAB Arithmetic Reasoning Practice Test 89008 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

Which of the following is not a prime number?

65% Answer Correctly

5

2

7

9


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


2

A triathlon course includes a 500m swim, a 50.6km bike ride, and a 12.100000000000001km run. What is the total length of the race course?

69% Answer Correctly
28.3km
63.2km
43.1km
56.5km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 50.6km + 12.100000000000001km
total distance = 63.2km


3

A tiger in a zoo has consumed 81 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 126 pounds?

56% Answer Correctly
5
4
14
6

Solution

If the tiger has consumed 81 pounds of food in 9 days that's \( \frac{81}{9} \) = 9 pounds of food per day. The tiger needs to consume 126 - 81 = 45 more pounds of food to reach 126 pounds total. At 9 pounds of food per day that's \( \frac{45}{9} \) = 5 more days.


4

What is \( \frac{3}{6} \) - \( \frac{2}{12} \)?

61% Answer Correctly
\(\frac{1}{3}\)
1 \( \frac{9}{12} \)
2 \( \frac{5}{13} \)
2 \( \frac{9}{14} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 share.

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

\( \frac{3 x 2}{6 x 2} \) - \( \frac{2 x 1}{12 x 1} \)

\( \frac{6}{12} \) - \( \frac{2}{12} \)

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

\( \frac{6 - 2}{12} \) = \( \frac{4}{12} \) = \(\frac{1}{3}\)


5

Jennifer scored 77% on her final exam. If each question was worth 2 points and there were 140 possible points on the exam, how many questions did Jennifer answer correctly?

57% Answer Correctly
61
54
64
68

Solution

Jennifer scored 77% on the test meaning she earned 77% of the possible points on the test. There were 140 possible points on the test so she earned 140 x 0.77 = 108 points. Each question is worth 2 points so she got \( \frac{108}{2} \) = 54 questions right.