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