Indian Politics
The meaning of Residuary Powers in constitution of India is-

Powers which are not included in Union, State, and Concurrent List
Powers related to Internal Emergency
Powers related to International issues
Power which can be exercised by Central and State Governments

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Indian Politics
India is a republic, that means:

The head of state in India is indirectly elected for a fixed period
The head of state in India is indirectly elected for life time
The head of state in India is indirectly elected for a fixed period
The head of state in India is directly elected for life time

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