This question tests a well known title given to a British era administrator. Lord Curzon, Lord Mayo and Lord Wellesley are all significant figures in colonial Indian history, but their contributions lie in areas like partition, finance and territorial expansion rather than local governance, so none of them earns this particular title.
Lord Ripon is the one remembered as the Father of Local Self Government, because his 1882 resolution as Viceroy handed real powers to municipal boards and district bodies and pushed for elected local representation, decades before it became common practice.
So the correct answer is Lord Ripon.
Since all four options are colonial era figures, the way to sort this out is by matching each one to the specific area of governance they are remembered for, rather than their general reputation.
Matching each name to its actual area of impact, rather than general fame as a colonial official, points to the one whose reform work was specifically about local governance.
So the correct answer is Lord Ripon.