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