The correct answer is Option 2: 1 and 4 only.
1. Mohammad Hidayatullah: He served as the Vice-President of India from August 1979 to August 1984. He was also the Acting President of India for a short period in 1969 and 1977. Hidayatullah had a distinguished legal career and was appointed as a judge of the Supreme Court of India before assuming the office of the Vice-President.
2. Fakhruddin Ali Ahmed: Although he is not mentioned in the given options, it is important to note that Fakhruddin Ali Ahmed served as the President of India from 1974 until his death in 1977. He did not hold the office of Vice-President.
3. Neelam Sanjiva Reddy: He served as the President of India from 1977 to 1982. However, he did not hold the office of Vice-President.
4. Shankar Dayal Sharma: He served as the Vice-President of India from 1987 to 1992. He later went on to become the President of India from 1992 to 1997. Sharma had a long political career and held various positions before serving as the Vice-President.
Based on the information provided and additional knowledge, it can be concluded that only Mohammad Hidayatullah (Option 2, point 1) and Shankar Dayal Sharma (Option 2, point 4) have held the office of the Vice-President of India. Fakhruddin Ali Ahmed (Option 3, point 2) and Neelam Sanjiva Reddy (Option 4, point 3) did not hold this position.