Question 1
Six persons Aman, Deepak, Farhan, Charu, Bhanu and Esha are sitting around a hexagonal table, one at each corner, all facing the center.
Aman sits opposite to Deepak. Farhan sits second to the right of Aman.
Bhanu sits second to the right of Esha. Charu is not adjacent to Aman.
What is the position of Charu with respect to Farhan?
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 Deepak: opp(pos1) = pos4 → Deepak at H4
Step 3: Apply relative positioning
- Farhan second to the right of Aman(pos1):
CW 2: pos1→pos2→pos3
→ Farhan at H3
- Bhanu second to the right of Esha:
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, Deepak=4, Farhan=3,
remaining seats: [2, 5, 6].
Bhanu = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha at pos6, Bhanu at pos2
Step 4: Apply constraint
- Charu not adjacent to Aman(pos1):
Adjacent to pos1: pos6 and pos2
→ Charu at pos5 (not adjacent) ✓
Final Arrangement (clockwise):
H1:Aman → H2:Bhanu → H3:Farhan → H4:Deepak → H5:Charu → H6:Esha
Step 5: Find Charu's position relative to Farhan
Farhan at pos3, Charu at pos5.
pos5 is 2 clockwise from pos3.
Verification:
✓ Aman opposite Deepak
✓ Farhan second to right of Aman
✓ Bhanu second to right of Esha
✓ Charu not adjacent to Aman
Answer: Charu sits to the second to the right of Farhan.
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 Deepak: opp(pos1) = pos4 → Deepak at H4
Step 3: Apply relative positioning
- Farhan second to the right of Aman(pos1):
CW 2: pos1→pos2→pos3
→ Farhan at H3
- Bhanu second to the right of Esha:
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, Deepak=4, Farhan=3,
remaining seats: [2, 5, 6].
Bhanu = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha at pos6, Bhanu at pos2
Step 4: Apply constraint
- Charu not adjacent to Aman(pos1):
Adjacent to pos1: pos6 and pos2
→ Charu at pos5 (not adjacent) ✓
Final Arrangement (clockwise):
H1:Aman → H2:Bhanu → H3:Farhan → H4:Deepak → H5:Charu → H6:Esha
Step 5: Find Charu's position relative to Farhan
Farhan at pos3, Charu at pos5.
pos5 is 2 clockwise from pos3.
Verification:
✓ Aman opposite Deepak
✓ Farhan second to right of Aman
✓ Bhanu second to right of Esha
✓ Charu not adjacent to Aman
Answer: Charu sits to the second to the right of Farhan.