The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?
Answer & explanation
Answer: (c) 62
Turn both averages into totals: 50 × 46·4 = 2320 and 60 × 49 = 2940. The last ten innings added 620 runs, an average of 62.
- Runs after 50 innings = 50 × 46·4 = 2320.
- New average = 46·4 + 2·6 = 49; runs after 60 innings = 60 × 49 = 2940.
- Runs in the last 10 innings = 2940 − 2320 = 620.
- Average of the last 10 = 620 ÷ 10 = 62.
Remember · Averages over different counts: convert each to a total, subtract, and divide by the new count.
Question and answer: UPSC's official GS Paper II (2020, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·