जब 51 × 27 × 35 × 62 × 75 को 100 से विभाजित किया जाता है, तो शेषफल क्या है?
Read this question in English
What is the remainder when 51 × 27 × 35 × 62 × 75 is divided by 100?
(a) 50 · (b) 25 · (c) 5 · (d) 1
उत्तर और व्याख्या · explanation in English
Answer: (a) 50
Only the last two digits matter. 62 × 75 = 4650 ends in 50, and multiplying a number ending in 50 by any odd number again ends in 50. The other factors 51, 27 and 35 are all odd, so the remainder is 50.
- 62 × 75 = 4650, which ends in 50.
- 50 × (odd number) always ends in 50, since 50 × odd = 100k + 50.
- 51 × 27 × 35 = 48195 is odd, so the whole product ends in 50.
- Remainder = 50.
Remember · Remainder on division by 100 = last two digits; pair factors that quickly give a round ending like 50 or 00.
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). ·