ASVAB Arithmetic Reasoning Practice Test 479577 Results

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

Review

A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly

	37$\frac{1}{2}$%
	25%
	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 75% the radius (and, consequently, the total area) increases by $ \frac{75\text{%}}{2} $ = 37$\frac{1}{2}$%

Frank loaned April $1,100 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

	$1,133
	$1,188
	$1,144
	$1,177

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 $1,100
i = 0.07 x $1,100

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

total = $1,100 + $77
total = $1,177

If a mayor is elected with 85% of the votes cast and 39% of a town's 49,000 voters cast a vote, how many votes did the mayor receive?

49% Answer Correctly

	10,893
	11,275
	16,244
	12,613

Solution

If 39% of the town's 49,000 voters cast ballots the number of votes cast is:

($ \frac{39}{100} $) x 49,000 = $ \frac{1,911,000}{100} $ = 19,110

The mayor got 85% of the votes cast which is:

($ \frac{85}{100} $) x 19,110 = $ \frac{1,624,350}{100} $ = 16,244 votes.

A tiger in a zoo has consumed 40 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 75 pounds?

56% Answer Correctly

	11
	7
	10
	4

Solution

If the tiger has consumed 40 pounds of food in 8 days that's $ \frac{40}{8} $ = 5 pounds of food per day. The tiger needs to consume 75 - 40 = 35 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's $ \frac{35}{5} $ = 7 more days.

Which of the following is not a prime number?

65% Answer Correctly

	9
	5
	2
	7

Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

	37\(\frac{1}{2}\)%
	25%
	27\(\frac{1}{2}\)%
	35%