ASVAB Arithmetic Reasoning Practice Test 698526 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.44
Score	0%	69%

Review

If $ \left|c + 0\right| $ - 4 = -7, which of these is a possible value for c?

62% Answer Correctly

	-2
	-3
	10
	-18

Solution

First, solve for $ \left|c + 0\right| $:

The value inside the absolute value brackets can be either positive or negative so (c + 0) must equal - 3 or --3 for $ \left|c + 0\right| $ to equal -3:

c + 0 = -3
c = -3 + 0
c = -3

c + 0 = 3
c = 3 + 0
c = 3

So, c = 3 or c = -3.

Ezra loaned Monica $100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly

	$105
	$102
	$108
	$104

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 $100
i = 0.08 x $100

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

total = $100 + $8
total = $108

A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly

	37$\frac{1}{2}$%
	30%
	27$\frac{1}{2}$%
	35%

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 60% the radius (and, consequently, the total area) increases by $ \frac{60\text{%}}{2} $ = 30%

What is the distance in miles of a trip that takes 2 hours at an average speed of 50 miles per hour?

86% Answer Correctly

	280 miles
	25 miles
	100 miles
	135 miles

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 distance:

distance = $ \text{speed} \times \text{time} $
distance = $ 50mph \times 2h $
100 miles

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

75% Answer Correctly

	5
	1
	7
	9

Solution

There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 9 people needing transportation leaving 9 - 4 = 5 who will have to find other transportation.

	37\(\frac{1}{2}\)%
	30%
	27\(\frac{1}{2}\)%
	35%