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The correct answer is option 2 - Archean System.
The Archean System contains the oldest rock formations in India. It is a geological system that is believed to have formed approximately 4 to 2.5 billion years ago. These rocks are found in the Archean craton, which is located in the southern part of the Indian subcontinent.
Option 1 - Aravalli System refers to a mountain range in western India and does not contain the oldest rock formations.
Option 3 - Cuddapah System refers to a sedimentary rock formation in southern India. While it is old, it is not as old as the rocks in the Archean System.
Option 4 - Vindhyan System refers to a sedimentary rock formation in central India. Although it is one of the oldest sedimentary rock sequences in the country, it is not as old as the Archean System.
Therefore, the Archean System contains the oldest rock formation in India.