The correct answer is option 3, which is 500. The Legislative Assembly of a State in India is the law-making body at the state level. The maximum number of members that the Legislative Assembly can have is determined by the Constitution of India.

Option 1 suggests that the maximum number is 400, option 2 suggests 450, and option 4 suggests 550. However, these options are not correct.

The Constitution of India does not specify a fixed number for the maximum limit of members in the Legislative Assembly of a State. It varies from state to state based on factors like the population of the state and its representation requirements.

As per the provisions of the Constitution, smaller states with a population of less than 6 million can have a minimum of 60 members and a maximum of 40 members. Larger states with a population of more than 6 million can have a minimum of 81 members and a maximum of 500 members.

Therefore, the correct answer is option 3, 500.