Statement 1: In the Sangam Age, the political system was indeed a hereditary monarchy. The king's position was generally passed down through the family. This statement is correct.

Statement 1: In the Sangam Age, the political system was indeed a hereditary monarchy. The king's position was generally passed down through the family. This statement is correct.

Statement 2: During the Sangam Age, the king was assisted by a council of ministers. This council was known as Aimperumkulu (the great council of five members) and Enperayam (the great assembly of eight members). Therefore, the statement that the king was assisted by a council of ministers called "Aimperumkulu" is correct.

Since both statements are correct, the answer is c.

The final answer is $\text{c. 1 और 2 दोनों}$.