If k = -1, which of the following is (are) true?

I.  k^k = k

II.  ~$\left | k \right |=-k$~

III.  k⁰ = -k

In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males.  What percent of the employed people in Town X are females?

There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines.  If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?

In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?

If 10⁵⁰ – 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?

Of the goose eggs laid at a certain pond, ~$\frac{2}{3}$~ hatched, and ~$\frac{3}{4}$~ of the geese that hatched from those eggs survived the first month.  Of the geese that survived the first month, ~$\frac{3}{5}$~ did not survive the first year.  If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old.  If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks.  How many possible selections of 4 books from this self include at least one paperback?

A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster.  If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?

The value of ~$\left ( 9\times10 ^{7} \right )\left ( 9\times10 ^{8} \right )$~ is closest to which of the following?