According to the directionson a can of frozen orange juice concentrate, 1 can of concentrate is to bemixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate arerequired to prepare 200 6-ounce servings of orange juice?

A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?

A circular jogging track formsthe edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at theaverage rate of 3 miles per hour. If trepresents the number of hours it took Johanna to walk completely around thelake, which of the following is a correct statement?

A company has two types ofmachines, type R and type S. Operatingat a constant rate, a machine of type R does a certain job in 36 hours and amachine of type S does the same job in 18 hours. If the company used the same number of eachtype of machine to do the job in 2 hours, how many machines of type R wereused?

At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

Which of the following is equal to ~$x^{18}$~ for all positive values of x ?

At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

If a quality control checkis made by inspecting a sample of 2 lightbulbs from a box of 12 lightbulbs, howmany different samples can be chosen?

If each term in the sum a1+ a2 + . . . + an is either 7 or 77 and the sum equals 350, which of thefollowing could be equal to n ?

If r and s areintegers, and rs + r is odd, which of the following must beeven?