ASVAB Arithmetic Reasoning Practice Test 816644 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

What is the greatest common factor of 28 and 32?

77% Answer Correctly
9
7
4
21

Solution

The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 32 have in common.


2

If there were a total of 50 raffle tickets sold and you bought 1 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
10%
5%
9%
3%

Solution

You have 1 out of the total of 50 raffle tickets sold so you have a (\( \frac{1}{50} \)) x 100 = \( \frac{1 \times 100}{50} \) = \( \frac{100}{50} \) = 3% chance to win the raffle.


3

16 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
7
4
8
5

Solution

There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 16 people needing transportation leaving 16 - 12 = 4 who will have to find other transportation.


4

What is (a4)3?

80% Answer Correctly
a12
4a3
a
a-1

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(a4)3
a(4 * 3)
a12


5

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
1:1
49:2
3:6
7:6

Solution

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.