Explanation
Why Correct: The National School of Drama (NSD) was established in 1959 under the Sangeet Natak Akademi as a pioneering theatre training institution in India. It was later registered as an autonomous body in 1975.
Distractor Analysis: 1955 is the year the Sangeet Natak Akademi was founded, not NSD. 1961 is when the National Institute of Design was set up. 1962 is the year of the China-India war and has no link to NSD.
Takeaway: NSD's founding year (1959) can be remembered as the same year the first Indian satellite was envisioned by Dr. Vikram Sarabhai, but more directly, recall it as the year just before the 1960s theatre boom in India.