Explanation:

- Correct Answer: Option 1 - Bihar

- The Tropic of Cancer is an imaginary line that is located at 23.5 degrees North of the Equator and passes through several Indian states.

- Bihar: The Tropic of Cancer does not pass through Bihar. This state is located further north of the Tropic of Cancer.

- Tripura: The Tropic of Cancer passes through the northern part of Tripura.

- Mizoram: The Tropic of Cancer slices through Mizoram, as it runs across the northeastern part of India.

- Rajasthan: The Tropic of Cancer also passes through Rajasthan, specifically through its southern regions.

By comparing these, Bihar is excluded from the list of states traversed by the Tropic of Cancer.