This question tests knowledge of well known Indian authors and the books or research papers they have written. The title named here, "Hunger and Entitlements," belongs to a specific field of economics, so recognising the subject helps point to the right writer.
The subject matter, an economic study of why famines occur, matches Amartya Sen's body of work, and "Hunger and Entitlements" is one of the texts where he laid out his entitlement theory of famine.
Let's summarize:
The correct answer is Amartya Sen.