हॉकी खेलने के लिए 19 लड़के आए हैं। उनमें से 11 हॉकी की कमीज़ पहने हुए हैं और 14 हॉकी की पैंट पहने हुए हैं। एक भी लड़का ऐसा नहीं है जिसने कमीज़ और/या पैंट न पहनी हो। पूरी वर्दी पहने लड़कों की संख्या क्या है?
Read this question in English
19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and/or pants. What is the number of boys wearing full uniform?
(a) 3 · (b) 5 · (c) 6 · (d) 8
उत्तर और व्याख्या · explanation in English
Answer: (c) 6
Every boy wears at least a shirt or pants, so adding shirts and pants counts the boys in full uniform twice. 11 + 14 − 19 = 6 boys wear both.
- Every one of the 19 boys wears a shirt, pants or both.
- Shirts + pants = 11 + 14 = 25, which counts the boys wearing both twice.
- Both = 25 − 19 = 6.
- Check: 5 with shirts only + 8 with pants only + 6 with both = 19.
Remember · For two overlapping groups that together cover everyone: both = first group + second group − total.
Question and answer: UPSC's official GS Paper II (2018, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·