ASVAB Arithmetic Reasoning Practice Test 475034 Results

Your Results Global Average
Questions 5 5
Correct 0 3.72
Score 0% 74%

Review

1

13 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
6
8
2

Solution

There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 13 people needing transportation leaving 13 - 8 = 5 who will have to find other transportation.


2

Alex loaned Monty $200 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$3
$52
$2
$18

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $200
i = 0.01 x $200
i = $2


3

How many hours does it take a car to travel 100 miles at an average speed of 20 miles per hour?

86% Answer Correctly
3 hours
9 hours
6 hours
5 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 = \( \frac{100mi}{20mph} \)
5 hours


4

Which of the following is a mixed number?

83% Answer Correctly

\({5 \over 7} \)

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


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.


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
9:8
3:2
5:8
49:2

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.