100 और 300 के बीच, 2 से शुरू होने वाली या 2 पर समाप्त होने वाली कितनी संख्याएं हैं ?
Read this question in English
How many numbers are there between 100 and 300 which either begin with or end with 2?
(a) 110 · (b) 111 · (c) 112 · (d) None of the above
उत्तर और व्याख्या · explanation in English
Answer: (a) 110
All numbers from 200 to 299 begin with 2 — 100 numbers — and 20 numbers from 102 to 292 end in 2. Ten of those (202 to 292) are counted twice, so the total is 100 + 20 − 10 = 110.
- Beginning with 2: 200 to 299 — 100 numbers.
- Ending in 2: 102, 112, …, 292 — 20 numbers.
- Both: 202, 212, …, 292 — 10 numbers.
- Total = 100 + 20 − 10 = 110.
Remember · 'Either … or' counting: add both groups, then subtract the overlap once.
Question and answer: UPSC's official GS Paper II (2016, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·