ASVAB Arithmetic Reasoning Practice Test 963652 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.65
Score	0%	73%

Review

How many hours does it take a car to travel 210 miles at an average speed of 70 miles per hour?

85% Answer Correctly

	6 hours
	3 hours
	8 hours
	4 hours

Solution

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

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{210mi}{70mph} \)
3 hours

What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?

68% Answer Correctly

	46
	50
	43
	51

Solution

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

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

75% Answer Correctly

	8
	9
	1
	7

Solution

There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 9 people needing transportation leaving 9 - 8 = 1 who will have to find other transportation.

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

	absolute value
	least common multiple
	least common factor
	greatest common factor

Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

Which of the following is a mixed number?

82% Answer Correctly

	\(1 {2 \over 5} \)
	\({a \over 5} \)
	\({7 \over 5} \)
	\({5 \over 7} \)

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.