ASVAB Arithmetic Reasoning Practice Test 55871 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.32
Score	0%	66%

Review

What is $ \sqrt{\frac{49}{9}} $?

70% Answer Correctly

	2$\frac{1}{3}$
	1
	1$\frac{1}{2}$
	$\frac{4}{7}$

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

$ \sqrt{\frac{49}{9}} $
$ \frac{\sqrt{49}}{\sqrt{9}} $
$ \frac{\sqrt{7^2}}{\sqrt{3^2}} $
$ \frac{7}{3} $
2$\frac{1}{3}$

A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?

51% Answer Correctly

	30%
	27$\frac{1}{2}$%
	35%
	20%

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 55% the radius (and, consequently, the total area) increases by $ \frac{55\text{%}}{2} $ = 27$\frac{1}{2}$%

What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?

69% Answer Correctly

	59
	67
	54
	61

Solution

The equation for this sequence is:

a_n = a_n-1 + 4(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 + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61

Convert c^-2 to remove the negative exponent.

68% Answer Correctly

	$ \frac{1}{c^2} $
	$ \frac{-1}{-2c^{2}} $
	$ \frac{-2}{c} $
	$ \frac{2}{c} $

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

Damon loaned Damon $1,500 at an annual interest rate of 3%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$88
	$45
	$28
	$42

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 $1,500
i = 0.03 x $1,500
i = $45

	\( \frac{1}{c^2} \)
	\( \frac{-1}{-2c^{2}} \)
	\( \frac{-2}{c} \)
	\( \frac{2}{c} \)

	2\(\frac{1}{3}\)
	1
	1\(\frac{1}{2}\)
	\(\frac{4}{7}\)