The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. No location had the same number of cars on both days. How many of the locations had more cars on Tuesday?

If , , and are all positive integers and , is an integer?

(1)

(2)

The outer diameter of a copper pipe is 10 units, and the diameter of the inside of the pipe is 6 units. If the copper pipe is 3 units long, how much copper (in cubic units) was required to make this pipe?

Each of 16 individuals is to be given an identifying code consisting of one or more digits. Within each individual’s code, all digits must be distinct and in ascending order. What is the minimum number of distinct digits required such that no two individuals have the same code?

If , where is a prime number greater than 3, how many different positive non-prime divisors does have, excluding 1 and ?

A car dealership offers two payment plans for an old model on discount clearance. The first plan is a down payment of 10% of the car`s original price and 5 equal monthly payments of 5% of the original price. The second plan is a down payment of 5% of the original price and 10 equal monthly payments of 4% of the original price. The cost of the first plan is what percent cheaper than the cost of the second?

Len invested $5,000 at 2% compounded annually. Zarish invested $4,000 at 5% compounded annually. How much greater will the total interest earned on Zarish's investment be in two years, in comparison to Len's?

Gwen invested $10,000 at 5% compounded annually. Cheng invested $5,000 at 10% compounded annually. How much greater will the total interest earned on Cheng's investment be in two years?

The ratio of coupons Troy has to coupons Padma has is 9:4. After Troy gives Padma 6 of his coupons, the ratio of coupons Troy has to coupons Padma has will be 8:5. How many more coupons will Troy have than Padma after the 6 coupons are given?

A set of 19 different integers has a median of 19 and a range of 20. What is greatest possible integer that could be in this set?

Set R consists of 17 consecutive integers. If −3 is the smallest integer in set R, what is the range of positive integers in set R?

If is the sum of odd integers from 40 to 60, inclusive, and  is the number of odd integers from 40 to 60, inclusive, what is ?

The ratio of the regular price of a sweatshirt to the regular price of a sports cap is . If the sports cap is discounted , the ratio of the regular price of a sweatshirt to the discounted price of the sports cap would become . What is the regular price of the sweatshirt?

The ratio of the number of minutes Shanaya talked on her cell phone in March to the number of minutes she talked on her cell phone in April is . If she had talked on her cell phone 60 more minutes in March, the ratio of minutes talked in March to minutes talked in April would have been . How many minutes did Shanaya talk on her cell phone in April?

If and , which of the following must be true?

If and , which of the following must be true?

What is the greatest prime factor of ?