A flower arrangement consists of 30 roses, each of which is either white or red. If a rose is to be selected at random from the flower arrangement, the probability that the rose selected will be white is twice the probability that it will be red. How many white roses are in the flower arrangement?

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) + 1, then p is

The value of ~$\frac{10^{8}-10^{2}}{10^{7}-10^{3}}$~ is closest to which of the following?

In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?

A certain taxi company charges $3.10 for the first~$\frac{1}{5}$~of a mile plus $0.40 for each additional ~$\frac{1}{5}$~ of a mile. What would this company charge for a taxi ride that was 8 miles long?

The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

If ~$ \left ( \frac{1}{5} \right )^{m}\left ( \frac{1}{4} \right )^{18}=\frac{1}{2\left ( 10 \right )^{35}}$~, then m =

A grocery store purchased crates of 40 oranges each for $5.00 per crate and then sold each orange for $0.20. What was the store's gross profit on each crate of oranges?

In a certain board game, a stack of 48 cards, 8 of which represent shares of stock, are shuffled and then placed face down. If the first 2 cards selected do not represent shares of stock, what is the probability that the third card selected will represent a share of stock?