Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ?

If 1 < x < y < z, which of the following has the greatest value?

If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?

In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random from the set. What is the probability that the card drawn will have either a number that is divisible by both 2 and 3 or a number that is divisible by 7 ?

A retailer purchased eggs at $2.80 per dozen and sold the eggs at 3 eggs for $0.90. What was the retailer’s gross profit from purchasing and selling 5 dozen eggs? (1 dozen eggs = 12 eggs)

A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?

Which of the following statements must be true about the average (arithmetic mean) and the median of 5 consecutive integers?

I. The average is one of the integers.

II. The median is one of the integers.

III. The median equals the average.

From 2000 to 2003, the number of employees at a certain company increased by a factor of ~$\frac{1}{4}$~. From 2003 to 2006, the number of employees at this company decreased by a factor of ~$\frac{1}{3}$~. If there were 100 employees at the company in 2006, how many employees were there at the company in 2000 ?

A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?

When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?