Problem Solving

Which of the following is the product of two integers whose sum is 11?

From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?

If x and y are different prime numbers, each greater than 2, which of the following must be true? I. x + y ≠ 91 II. x - y is an even integer III. x/y is not an integer

3.003/2.002 =

Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?

A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?

A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90perunitandalloftheproducedunitsaresoldeachmonth.Whatistheminimumsellingpriceperunitthatwillensurethatthemonthlyprofit(revenuefromsalesminusthemanufacture{r}^{\prime }scosttoproduce)onthesalesoftheseunitswillbeatleast$42,000?

If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

If x + 5y = 16 and x = -3y, then y =

A certain bakery has 6 employees. It pays annual salaries of $14,000toeachof2employees,$16,000 to 1 employee, and $17,000 to each of the remaining 3 employees. The average (arithmetic mean) annual salary of these employees is closest to which of the following?

The shaded region in the figure above represents a rectangular frame with length 18 inches and width 15 inches. The frame encloses a rectangular picture that has the same area as the frame itself. If the length and width of the picture have the same ratio as the lenght and width of the frame, what is the length of the picture, in inches?

If x and y are prime numbers, which of the following CANNOT be the sum of x and y?

What is the least integer that is a sum of three different primes each greater than 20 ?

A poll reveals that the average (arithmetic mean) income of 10 households is $25,000.If6ofthehouseholdshaveincomesof$30,000 each, what is the average income of the other 4 households?

A company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year total airfares for business trips of a thousand miles or less were $9,900andairfaresforallotherbusinesstripswere$13,000. According to the accountant's estimate, if the same number of business trips will be made next year as this year, how much will be spent for airfares next year?

A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square inches. Which of the following equations must be true?

A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?

According to the graph above, what percent of the funds for highway maintenance came from the tax on tires?

If the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^2 have?

If y= 4 + (x - 3)^2, then y is lowest when x =