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The correct answer is option 1, which states that only statement 1 is correct. Now let`s analyze each statement to understand why.
Statement 1: The maximum permissible strength of Rajya Sabha is 250. This statement is correct. The Rajya Sabha has a fixed maximum strength of 250 members, as specified in the Constitution of India.
Statement 2: In Rajya Sabha, 238 members are elected indirectly from the States and Union Territories. This statement is incorrect. In Rajya Sabha, 238 members are not elected indirectly from the States and Union Territories. The members of the Rajya Sabha are elected by the elected members of the State Legislative Assemblies in accordance with the system of proportional representation by means of single transferable vote.
Statement 3: It shares legislative powers equally with Lok Sabha in matters such as the creation of All India Services. This statement is not mentioned in the question, so we cannot comment on its correctness.
Therefore, based on the analysis, we can conclude that the correct answer is option 1.