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The correct answer is option 3, which means that statements 2 and 3 are correct. Let`s dissect each option to understand why.
Option 1 states that the Vice-President must be a Member of Parliament. According to the Constitution of India, this is not a requirement for the Vice-President. Therefore, option 1 is incorrect.
Option 2 states that the Vice-President is elected by proportional representation. In this context, proportional representation means that the Vice-President is elected by an electoral college that consists of members of both the houses of Parliament. This statement is correct, as the Vice-President is indeed elected by an electoral college.
Option 3 states that the Vice-President is the ex-officio Chairman of the Rajya Sabha. The Rajya Sabha is the upper house of the Parliament of India, and the Vice-President serves as its Chairman. This statement is correct.
Therefore, option 3 is the correct answer because statements 2 and 3 are both correct. The Vice-President of India is elected by an electoral college and also serves as the ex-officio Chairman of the Rajya Sabha.