150 प्रतियोगियों वाली किसी शतरंज टूर्नामेंट में जब-जब कोई खिलाड़ी बाजी हारता है, उसे बाहर कर दिया जाता है। यह निश्चित किया गया है कि कोई भी बाजी बराबरी (टाई/ड्रॉ) पर निर्णीत नहीं होगी। इस पूरे टूर्नामेंट में कितनी बाजियाँ खेली गईं?
Read this question in English
In a tournament of Chess having 150 entrants, a player is eliminated whenever he loses a match. It is given that no match results in a tie/draw. How many matches are played in the entire tournament?
(a) 151 · (b) 150 · (c) 149 · (d) 148
उत्तर और व्याख्या · explanation in English
Answer: (c) 149
Every match has exactly one loser, and every loser is eliminated. The tournament ends when one player is left, so 149 players are eliminated — and that takes exactly 149 matches.
- Each match produces exactly one loser, who is eliminated.
- To leave a single winner, 150 − 1 = 149 players must be eliminated.
- So 149 matches are played.
- Check: with 4 players, 2 semi-finals + 1 final = 3 = 4 − 1 matches.
Remember · Knockout tournament with n players: always n − 1 matches, whatever the byes.
Question and answer: UPSC's official GS Paper II (2022, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·