ASVAB Arithmetic Reasoning Practice Test 861342 Results

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

Review

1

If a car travels 220 miles in 4 hours, what is the average speed?

86% Answer Correctly
55 mph
60 mph
30 mph
25 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 = \( \frac{220mi}{4h} \)
55 mph


2

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = 1

b0 = 1

b1 = b

all of these are false


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


3

What is the least common multiple of 2 and 8?

72% Answer Correctly
12
1
6
8

Solution

The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 have in common.


4

10 members of a bridal party need transported to a wedding reception but there are only 4 2-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
5
1
2
7

Solution

There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.


5

Which of the following is a mixed number?

82% Answer Correctly

\({5 \over 7} \)

\(1 {2 \over 5} \)

\({a \over 5} \)

\({7 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.