ASVAB Arithmetic Reasoning Practice Test 286033 Results

Your Results Global Average
Questions 5 5
Correct 0 3.58
Score 0% 72%

Review

1

If a car travels 50 miles in 2 hours, what is the average speed?

86% Answer Correctly
25 mph
50 mph
65 mph
20 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{50mi}{2h} \)
25 mph


2

What is the least common multiple of 8 and 16?

72% Answer Correctly
16
15
11
66

Solution

The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 have in common.


3

What is -8c6 x 4c7?

75% Answer Correctly
-32c
-32c13
-32c42
-32c-1

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-8c6 x 4c7
(-8 x 4)c(6 + 7)
-32c13


4

Solve 2 + (2 + 3) ÷ 4 x 2 - 52

52% Answer Correctly
2
\(\frac{8}{9}\)
1\(\frac{1}{6}\)
-20\(\frac{1}{2}\)

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (2 + 3) ÷ 4 x 2 - 52
P: 2 + (5) ÷ 4 x 2 - 52
E: 2 + 5 ÷ 4 x 2 - 25
MD: 2 + \( \frac{5}{4} \) x 2 - 25
MD: 2 + \( \frac{10}{4} \) - 25
AS: \( \frac{8}{4} \) + \( \frac{10}{4} \) - 25
AS: \( \frac{18}{4} \) - 25
AS: \( \frac{18 - 100}{4} \)
\( \frac{-82}{4} \)
-20\(\frac{1}{2}\)


5

21 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
4
1
5
3

Solution

There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 21 people needing transportation leaving 21 - 20 = 1 who will have to find other transportation.