If the elections throw a hung verdict then the appointed Prime Minister has to prove majority support in both the houses.
If you are elected as the President of India which of the following decisions can you take on your own?
(a) Select the person you like as Prime Minister.
(b) Dismiss a Prime Minister who has a majority in Lok-Sabha.
(c) Ask for reconsideration of a bill passed by both the Houses.
(d) Nominate the leaders of your choice to the Council of Ministers.