Analyzing the Constraints
The problem involves scheduling seven people (Abhi, Bhanu, Chetu, Devansh, Ekansh, Falak, Gyanu) playing a game on seven different days of a week (Monday to Sunday).
- Fixed Day: Chetu plays on Friday.
- Consecutive Blocks:
- Devansh, Bhanu, and Ekansh play on consecutive days in that order (D, B, E).
- Gyanu and Falak play on consecutive days in that order (G, F).
- Restriction: Devansh does not play on Monday.
Determining the Schedule
Let's represent the days as M, Tu, W, Th, F, Sa, Su.
1. We know Chetu plays on Friday:
_ _ _ _ C _ _ (M T W Th F Sa Su)2. Consider the (D, B, E) block which needs 3 consecutive days.
- They cannot include Friday (Chetu's day).
- Devansh cannot play on Monday.
- Possible slots for (D, B, E) are: (Tu, W, Th).
3. Consider the (G, F) block which needs 2 consecutive days.
- The remaining days are Monday, Saturday, and Sunday.
- The only consecutive pair available is Saturday and Sunday.
4. Identify Abhi's Day:
- The only person left is Abhi.
- The only day left is Monday.
Final Answer
Abhi plays the game on Monday.
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