Question 1
Six persons Esha, Farhan, Charu, Bhanu, Aman and Deepak are sitting around a hexagonal table, one at each corner, all facing the center.
Esha sits opposite to Farhan. Charu sits second to the right of Esha.
Aman sits second to the right of Deepak. Bhanu is not adjacent to Esha.
What is the position of Bhanu with respect to Charu?
Solution Approach:
Step 1: Draw hexagonal arrangement
6 corners H1–H6 clockwise.
Opposite pairs: H1↔H4, H2↔H5, H3↔H6.
Step 2: Place definite positions
- Fix Esha at H1 (pos 1).
- Esha opposite Farhan: opp(pos1) = pos4 → Farhan at H4
Step 3: Apply relative positioning
- Charu second to the right of Esha(pos1):
CW 2: pos1→pos2→pos3
→ Charu at H3
- Aman second to the right of Deepak:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Esha=1, Farhan=4, Charu=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak at pos6, Aman at pos2
Step 4: Apply constraint
- Bhanu not adjacent to Esha(pos1):
Adjacent to pos1: pos6 and pos2
→ Bhanu at pos5 (not adjacent) ✓
Final Arrangement (clockwise):
H1:Esha → H2:Aman → H3:Charu → H4:Farhan → H5:Bhanu → H6:Deepak
Step 5: Find Bhanu's position relative to Charu
Charu at pos3, Bhanu at pos5.
pos5 is 2 clockwise from pos3.
Verification:
✓ Esha opposite Farhan
✓ Charu second to right of Esha
✓ Aman second to right of Deepak
✓ Bhanu not adjacent to Esha
Answer: Bhanu sits to the second to the right of Charu.
Step 1: Draw hexagonal arrangement
6 corners H1–H6 clockwise.
Opposite pairs: H1↔H4, H2↔H5, H3↔H6.
Step 2: Place definite positions
- Fix Esha at H1 (pos 1).
- Esha opposite Farhan: opp(pos1) = pos4 → Farhan at H4
Step 3: Apply relative positioning
- Charu second to the right of Esha(pos1):
CW 2: pos1→pos2→pos3
→ Charu at H3
- Aman second to the right of Deepak:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Esha=1, Farhan=4, Charu=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak at pos6, Aman at pos2
Step 4: Apply constraint
- Bhanu not adjacent to Esha(pos1):
Adjacent to pos1: pos6 and pos2
→ Bhanu at pos5 (not adjacent) ✓
Final Arrangement (clockwise):
H1:Esha → H2:Aman → H3:Charu → H4:Farhan → H5:Bhanu → H6:Deepak
Step 5: Find Bhanu's position relative to Charu
Charu at pos3, Bhanu at pos5.
pos5 is 2 clockwise from pos3.
Verification:
✓ Esha opposite Farhan
✓ Charu second to right of Esha
✓ Aman second to right of Deepak
✓ Bhanu not adjacent to Esha
Answer: Bhanu sits to the second to the right of Charu.