Preamble of the Constitution of India is an introductory statement that outlines the objectives and the basic principles of the Constitution. It is not a part of the enforceable Constitution but it reflects the ideals and aspirations of the people of India.

The objectives of the Preamble are:

1. Sovereign: India is a sovereign nation, which means it has the power to govern itself without any external influence.

2. Socialist: The Preamble aims to establish a socialist society where there is no exploitation of one class by another.

3. Secular: India is a secular country that does not promote or discriminate against any religion.

4. Democratic: India is a democratic country where the power is vested in the hands of the people.

5. Republic: India is a republic, which means there is no monarchy or hereditary ruler.

6. Justice: The Preamble seeks to establish social, economic, and political justice.

7. Liberty: The Preamble aims to protect the liberty of the citizens of India.

8. Equality: The Preamble promotes equality of status and opportunity to all citizens.

9. Fraternity: The Preamble advocates unity and brotherhood among all citizens of India.

The correct answer to the question is option 'A', Federalism. Federalism is not an objective of the Preamble. Federalism refers to the distribution of powers between the central government and the state governments. Although the Constitution of India adopts a federal structure, it is not an objective of the Preamble.