The correct answer is (b) 6 years.
The tenure of a member of the State Legislative Council is 6 years. The Council is a permanent body and one-third of its members retire every two years. The members of the Council are elected by the members of the Legislative Assembly, the Mayors of Municipal Corporations and the Chairpersons of Municipalities. The Council has a Vice-President who is elected by the members of the Council. The Council has the power to make laws on subjects that are not included in the Concurrent List or the State List. The Council also has the power to discuss and pass resolutions on matters of public importance.
The other options are incorrect. Option (a) is incorrect because the tenure of a member of the State Legislative Assembly is 5 years. Option (c) is incorrect because the tenure of a member of the Rajya Sabha is 6 years. Option (d) is incorrect because the tenure of a member of the Lok Sabha is 5 years.