Option 1: Neelam Sanjiva Reddy - He served as the President of India from 1977 to 1982. There is no information available that he resigned as Vice-President to contest for the office of the President.

Option 2: V.V. Giri - This is the correct answer. V.V. Giri resigned from his position as Vice-President to contest for the office of the President. He was successful in his bid and served as the President of India from 1969 to 1974.

Option 3: R. Venkataraman - R. Venkataraman served as the Vice-President from 1984 to 1987 and later became the President of India, serving from 1987 to 1992. There is no information available that he resigned as Vice-President to contest for the office of the President.

Option 4: Dr. Shankar Dayal Sharma - Dr. Sharma served as the Vice-President from 1987 to 1992 and later became the President of India, serving from 1992 to 1997. There is no information available that he resigned as Vice-President to contest for the office of the President.

In conclusion, option 2, V.V. Giri, is