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