Step 1: Understand the CBI's powers.
The CBI is the primary agency for investigating major crimes related to corruption and organized crime in India. The CBI's investigative powers are derived from the Delhi Special Police Establishment (DSPE) Act, 1946, which establishes the legal basis for the CBI's functions.
Step 2: Rejection of incorrect options.
The Indian Penal Code (IPC) governs criminal offenses in India but does not specifically grant the CBI investigative powers.
The Prevention of Corruption Act deals with corruption-related offenses but does not specifically establish the CBI's powers.
The Central Vigilance Commission Act, 2003, deals with the establishment of the Vigilance Commission but does not provide the CBI's investigative powers.
Step 3: Conclusion.
Since the Delhi Special Police Establishment Act, 1946, grants the CBI its authority, option (3) is correct.