555-605 (Medium)
If each of the following fractions were written as a repeating decimal, which would have the longest sequence of different digits?
555-605 (Medium)
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?
Sub 505 (Easy)
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 400worthofstockreceiveda5 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.)
655-705 (Hard)
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?
555-605 (Medium)
How many different positive integers are factors of 441 ?
505-555 (Easy)
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?
Sub 505 (Easy)
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?
Sub 505 (Easy)
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?
555-605 (Medium)
In a certain furniture store, each week Nancy earns a salary of 240plus5800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?
655-705 (Hard)
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?
505-555 (Easy)
Which of the following CANNOT be the median of the 3 positive integers x, y, and z?
605-655 (Medium)
If 10 50 – 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?
Sub 505 (Easy)
Which of the following has a value less than 1?
Sub 505 (Easy)
R is the set of positive odd integers less than 50, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
505-555 (Easy)
In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors?
Sub 505 (Easy)
If the product of the integers w, x, y and z is 770, and if 1 < w < x < y < z, what is the value of w + z?
505-555 (Easy)
In a acertain company, the ratio of the numer of manager to the number of production-line workers is 5 to 72. If 8 additional Production-line workers were to be hired, the ratio of the number of managers to the number of production-line workers would be 5 to 74. How many managers does the company have?
505-555 (Easy)
At the rate of m meters per s seconds, how many meters does a cyclist travel in x minutes?
705-805 (Hard)
In the circle above, PQ is parallel to diameter OR, and OR has length 18. What is the length of minor arc PQ?
505-555 (Easy)
What is the decimal equivalent of (1/5) 5 ?