Problem Solving

31 125 = 31 125 =

3 * 0.072 0.54 =

If k is an integer and 0.0010101*10^k is greater than 1,000, what is the least possible value of k ?

What is the value of 2 x 2 − 2.4 x − 1.7 for x = 0.7 ?

If the numbers 17/24, 1/2, 3/8, 3/4, and 9/16 were ordered from greatest to least, the middle number of the resulting sequence would be

In which of the following pairs are the two numbers reciprocals of each other? I. 3 and 1/3 II. 1/17 and -1/17 III. √ 3 √ and √ 3 3 √ 3

Of the following, the closest approximation to 5.98 (601.5) 15.79 − − − − √ 5.98 (601.5) 15.79 is

35096.00011574074

A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?

A car travels from Mayville to Rome at an average speed of 30 miles per hour and returns immediately along the same route at an average speed of 40 miles per hour. Of the following, which is closest to the average speed, in miles per hour, for the round trip?

The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?

Jan lives x floors above the ground floor of a highrise building. It takes her 30 seconds per floor to walk down the steps and 2 seconds per floor to ride the elevator. If it takes Jan the same amount of time to walk down the steps to the ground floor as to wait for the elevator for 7 minutes and ride down, then x equals

For how many integers n is 2^n = n^2 ?

Which of the following statements can be inferred from the data above? I. The Klein family's annual income more than doubled from 1985 to 1995. II. The Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995. III. The Klein family's average (arithmetic mean) annual income for the period shown was greater than $40,000.

Last year if 97 percent of the revenues of a company came from domestic sources and the remaining revenues, totaling $450,000, came from foreign sources, what was the total of the company's revenues?

A club sold an average (arithmetic mean) of 92 raffle tickets per member. Among the female members, average number sold was 84, and among the male members, the average number sold was 96. What was the ratio of the number of male members to the number of female members in the club?

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

A certain college has a student-to-teacher ratio of 11 to 1. The average (arithmetic mean) annual salary for teachers is $26,000.Ifthecollegepaysatotalof$3,380,000 in annual salaries to its teachers, how many students does the college have ?

A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1 1 2 times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 20 hours, 50 percent worked 40 hours, and the rest worked 50 hours?