किसी सम्मेलन में, कुल 100 प्रतिभागियों में से 70 भारतीय हैं । यदि कुल प्रतिभागियों में से 60 शाकाहारी हैं, तो निम्नलिखित में से कौन-सा/से कथन सही है/हैं ?
- 1.कम-से-कम 30 भारतीय प्रतिभागी शाकाहारी हैं ।
- 2.कम-से-कम 10 भारतीय प्रतिभागी मांसाहारी हैं ।
नीचे दिए गए कूट का प्रयोग कर सही उत्तर चुनिए :
Read this question in English
In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?
1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are non-vegetarian.
Select the correct answer using the codes given below:
(a) 1 only · (b) 2 only · (c) Both 1 and 2 · (d) Neither 1 nor 2
उत्तर और व्याख्या · explanation in English
Answer: (c) 1 और 2 दोनों
Only 30 participants are not Indian. Even if all of them were vegetarian, at least 60 − 30 = 30 vegetarians are Indian; and even if all 30 were non-vegetarian, at least 40 − 30 = 10 non-vegetarians are Indian.
- Non-Indians = 100 − 70 = 30; non-vegetarians = 100 − 60 = 40.
- Fewest Indian vegetarians: make all 30 non-Indians vegetarian → Indian vegetarians = 60 − 30 = 30.
- Fewest Indian non-vegetarians: make all 30 non-Indians non-vegetarian → Indian non-vegetarians = 40 − 30 = 10.
- Both minimums hold, so both statements are correct.
- Check: 70 + 60 − 100 = 30 and 70 + 40 − 100 = 10.
- ✓ 1. At most 30 vegetarians can be non-Indian, so at least 30 of the 60 vegetarians are Indian.
- ✓ 2. At most 30 non-vegetarians can be non-Indian, so at least 10 of the 40 non-vegetarians are Indian.
Remember · For a guaranteed overlap, push the other group to the extreme: minimum overlap = A + B − total.
Question and answer: UPSC's official GS Paper II (2019, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·