Problem Solving

Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?

A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?

If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2 i * 3 k * 5 m * 7 p , then i + k + m + p =

If n is positive, which of the following is equal to 1 √ n + 1 − √ n 1 n + 1 − − √ − n √

What is the units digit of 13 4 ∗ 17 2 ∗ 29 3 ?

If x, y, and k are positive numbers such that x x + y * 10 + y x + y * 20 = k and if x < y, which of the following could be the value of k?

If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of z-x?.

Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route?

Fermat primes are prime numbers that can be written in the form 2 k + 1 , where k is an integer and a power of 2. Which of the following is NOT a Fermat prime

If s is the product of the integers from 100 to 200 inclusive, and if t is the product of the integers from 100 to 201 inclusive, what is 1/s + 1/t in terms of t?

The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such canisters that could be used, what is the radius, in inches, of the one that has the maximum volume?

If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 63, what is the value of K?

If the operation @ is defined for all a and b by the equation a @ b = a 2 * b 3 , then 2 @ (3 @ − 1) =

Which of the following CANNOT be a value of 1 x − 1 ?

A part-time employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?

If r = 0.345 , s = 0.345 2 , and t = 0.345 − − √ t = 0.345 , which of the following is the correct ordering of r , s , and t ?

If candy bars that regularly sell for $0.40eachareonsaleattwofor$0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?

If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes ?