When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4.  When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4.  If x > y, which of the following must be a factor of x - y?

Before a certain tire is used, 40 percent of its total weight consists of tread.  If during a lifetime of use, 50 percent, by weight, of the tire’s tread is lost and no other parts of the tire is lost, what per cent of the tire’s total remaining weight consists of the remaining tread?

The sides of a square region, measured to the nearest centimeters, are 6 centimeters long.  The least possible value of the actual area of the square region is

John, Karen, and Luke collected cans of vegetables for a food drive.  The number of cans that John collected was ~$\frac{1}{2}$~ the number of cans that Karen collected and ~$\frac{1}{3}$~ the number of cans that Luke collected.  The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?

At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8.  If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?

The age of the Earth is approximately ~$1.3\times 10^{17}$~ seconds, and one year is approximately ~$3.2\times 10^{7}$~ seconds.  Which of the following is closest to the age of the Earth in years?

A store’s selling price of $2,240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer.  What selling price would yield a profit of 50 percent of the computer’s cost?

In 1994, Kenneth’s annual salary was 30 percent higher than it was in 1993.  In 1995, Kenneth’s annual salary was reduced to 104 percent of his 1993 annual salary.  Kenneth’s 1995 annual salary was what percent less than his 1994 annual salary?

If the sequence x₁, x₂, x₃, …, x_n, … is such that x₁  = 3 and x_n+1 = 2x_n – 1 for n ≥ 1, then x₂₀ – x₁₉ =

If the volume of a small container is 14,520 cubic millimeters, what is the volume of the container in cubic centimeters? (1 millimeter = 0.1 centimeter)