1. 
The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 2?



2. 
If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?



3. 
If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?



4. 
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?



5. 
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?




