1. 
A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?



2. 
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?



3. 
If both 11^{2} and 3^{3} are factors of the number a * 4^{3} * 6^{2} * 13^{11}, then what is the smallest possible value of a?



4. 
What is the equation of a circle of radius 6 units centered at (3, 2)?



5. 
A wheel of a car of radius 21 cms is rotating at 600 RPM. What is the speed of the car in km/hr?




