The President of India has the authority to nominate Members of Parliament (MPs) based on their achievements and contributions in various fields. These nominations help in ensuring the representation of diverse expertise and talent in the Parliament.

Option 1: Literature - This category includes renowned literary figures and authors who have made significant contributions to Indian literature. The President can nominate them as MPs to bring their perspective and knowledge to the Parliament.

Option 2: Science - This category includes eminent scientists and researchers who have made remarkable advancements in the field of science. The President can nominate them as MPs to add scientific expertise in the discussions and decision-making process in the Parliament.

Option 3: Art - This category includes prominent artists, musicians, and performers who have made significant contributions to Indian art and culture. The President can nominate them as MPs to bring their unique insights and cultural perspectives to the Parliament.

Option 4: State Service - This option is incorrect. The President of India does not nominate MPs based on their services within a particular state. The process of nominating MPs is not related to the state service, but rather focuses on achievements and contributions in the fields of literature, science, art, and other important areas.

Therefore, option 4 is not a valid category under which the President of India