ASVAB Arithmetic Reasoning Practice Test 186399 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.93
Score	0%	59%

Review

If all of a roofing company's 8 workers are required to staff 2 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?

55% Answer Correctly

	12
	4
	3
	16

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 2 crews so there are $ \frac{8}{2} $ = 4 workers on a crew. 6 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 6 x 4 = 24 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 24 - 8 = 16 new staff for the busy season.

Alex loaned Betty $400 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly

	$436
	$408
	$416
	$428

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 $400
i = 0.07 x $400

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $400 + $28
total = $428

If $ \left|b - 1\right| $ - 2 = -4, which of these is a possible value for b?

62% Answer Correctly

	-5
	-3
	-1
	22

Solution

First, solve for $ \left|b - 1\right| $:

The value inside the absolute value brackets can be either positive or negative so (b - 1) must equal - 2 or --2 for $ \left|b - 1\right| $ to equal -2:

b - 1 = -2
b = -2 + 1
b = -1

b - 1 = 2
b = 2 + 1
b = 3

So, b = 3 or b = -1.

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly

	3:4
	5:1
	9:2
	7:6

Solution

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly

	20%
	32$\frac{1}{2}$%
	25%
	17$\frac{1}{2}$%

Solution

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π($ \frac{d}{2} $)². If the diameter of the logo increases by 50% the radius (and, consequently, the total area) increases by $ \frac{50\text{%}}{2} $ = 25%

	20%
	32\(\frac{1}{2}\)%
	25%
	17\(\frac{1}{2}\)%