If 2⁴, 3³, and 11³ are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?

A construction company will produce identical metal supports in the shape of a right triangle with legs of length 3 feet and 4 feet. The three sides of each triangular support are to be constructed of metal stripping. If the company has a total of 6,000 feet of metal stripping and there is no waste of material in the construction of the supports, what is the greatest possible number of supports that the company can produce?

If 7 and 8 are factors of 60n, what is the minimum value of n?

What is the maximum value of x for which 8x² = 1 + 2x?

You can rent DVDs at a local video store for $5.00 per movie without a membership. However, if you purchase a membership for $7.00 per month, you can rent DVDs for $2.00 a piece. What is the minimum amount of DVDs you would have to rent to make it worth it to purchase the membership.

A semipro baseball league has teams with 21 players each. League rules state that a player must be paid at least 15,000 dollars, and that the total of all players' salaries for each team cannot exceed 700,000 dollars. What is the maximum possiblle salary, in dollars, for a single player?

If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?

What is the greatest value of positive integer x such that 2^x is a factor of 100⁸⁰?

The following figure shows the total Sources of Revenue and Expenditures for France in 1995 (in $ Billions).

1. What percentage of total Revenues was collected through Excise Taxes?

2. What will be the percentage of expenditures on National Security of the total expenditures if the Government of France also tried to save money of $6 Billion in that year by keeping all the other expenditures and sources of revenues the same?