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The correct answer is option 3: 1 and 3 only.
Let`s break down each option:
1. President: The President of India is elected by an electoral college consisting of elected Members of Legislative Assemblies (MLAs) and Members of Parliament (MPs). This is a correct match.
2. Vice-President: The Vice-President of India is elected by an electoral college consisting of MLAs and MPs. This is not a correct match as the Vice-President is elected only by Members of Parliament, not MLAs.
3. Speaker: The Speaker of the House of People (Lok Sabha) is chosen after its first sitting. This is a correct match.
Therefore, only options 1 (President) and 3 (Speaker) are correctly matched.
Please note that the answer provided is generally correct. However, there is a possibility of a misinterpretation in option 2. If the option was meant to say "Vice-President: Elected by an electoral college consisting of only MLAs or MPs," then the answer would be incorrect.