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