Problem Solving

Kelly and Chris packed several boxes with books. If Chris packed 60 percent of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed?

(7 √ + 7 √) 2 (7 + 7) 2

Which of the following is NOT equal to the square of an integer:

If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

What is the combined area, in square inches, of the front and back of a rectangular sheet of paper measuring 8.5 inches by 11 inches?

Note: Figure not drawn to scale. In the figure above, the value of y is

In the figure above, if AB||CE, CE = DE, and y = 45, then x =

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

If each of the following fractions were written as a repeating decimal, which would have the longest sequence of different digits?

A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

If stock is sold three months after it is purchased, the formula above relates p, d, s, and r, where p is the purchase price of the stock, d is the amount of any dividend received, s is the selling price of the stock, and r is the yield of the investment as a percent. If Rose purchased $400worthofstockreceiveda$5 dividend and sold the stock for $420, for three months after purchasing it, what was the yield of her investment, according to the formula? (Assuming she paid no commissions.)

S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. which of the following statements cannot be true?

How many different positive integers are factors of 441 ?

If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?

The earth travels around the sun at a speed of approximately 18.5 miles per second. The approximate speed is how many miles per hour?

In a certain calculus class, the ratio of the number of math majors to the number of students who are not math majors is 2 to 5. If 2 more math majors were to enter the class, the ratio would be 1 to 2. How many students are in the class?

In a certain furniture store, each week Nancy earns a salary of $240plus5$800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?

A certain junior class has 1,000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?

Which of the following CANNOT be the median of the 3 positive integers x, y, and z?

If 10 50 – 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?