The remainder is 2 when n is divided by 3. The remainder is 3,4, and 5 when the divisors are 4,5, and 6 respectively. What is the smallest possible n?

In a Province A, 12 people own 7 bicycles, 15 people own 4 cars and 10 people own 3 motorcycles. The total number of vehicles is 18000 more than the total population. What is the total population of A?

There are 3 kinds of markings on a rope. The red markings divide the rope evenly into 10 parts. The blue markings divide the rope equally into 12 parts and the yellow marking divides the rope evenly into 15 parts. How many segments does the rope have?