Hexagonal Table Arrangement Beginner-Intermediate Worksheet: Focus on common variations practice Hexagonal Table Arrangement BEGINNER INTERMEDIATE

Level up your Hexagonal Table Arrangement skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: hexagonal table arrangement for competitive exams, how to solve hexagonal table arrangement, hexagonal table arrangement tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:

Understand the logic behind how to solve hexagonal table arrangement
Learn step-by-step approaches to common variations practice
Bridge the gap between basic and advanced concepts
Handle problems with increasing complexity
Master hexagonal table arrangement for competitive exams through focused practice

Your progress through Hexagonal Table Arrangement

Worksheet 4 of 10 (33% complete)

Question 1

Six persons Aman, Farhan, Esha, Bhanu, Deepak and Charu are sitting around a hexagonal table, one at each corner, all facing the center. Aman sits opposite to Farhan. Esha sits second to the right of Aman. Deepak sits second to the right of Charu. 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 Farhan: opp(pos1) = pos4 → Farhan 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 Charu:
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, Farhan=4, Esha=3,
remaining seats: [2, 5, 6].
Deepak = 2 CW from Charu: pos5 is 2 clockwise [solver-verified].
→ Charu 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:Farhan → H5:Bhanu → H6:Charu

Step 5: Find Bhanu's position relative to Esha
Esha at pos3, Bhanu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Aman opposite Farhan
✓ Esha second to right of Aman
✓ Deepak second to right of Charu
✓ Bhanu not adjacent to Aman

Answer: Bhanu sits to the second to the right of Esha.

Question 2

Six persons Bhanu, Farhan, Aman, Charu, Deepak and Esha are sitting around a hexagonal table, one at each corner, all facing the center. Bhanu sits opposite to Farhan. Aman sits second to the right of Bhanu. Deepak sits second to the right of Esha. Charu is not adjacent to Bhanu. 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 Bhanu at H1 (pos 1).
- Bhanu opposite Farhan: opp(pos1) = pos4 → Farhan at H4

Step 3: Apply relative positioning
- Aman second to the right of Bhanu(pos1):
CW 2: pos1→pos2→pos3
→ Aman at H3

- Deepak 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, Farhan=4, Aman=3,
remaining seats: [2, 5, 6].
Deepak = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha at pos6, Deepak at pos2

Step 4: Apply constraint
- Charu not adjacent to Bhanu(pos1):
Adjacent to pos1: pos6 and pos2
→ Charu at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Bhanu → H2:Deepak → H3:Aman → H4:Farhan → H5:Charu → H6:Esha

Step 5: Find Charu's position relative to Aman
Aman at pos3, Charu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Bhanu opposite Farhan
✓ Aman second to right of Bhanu
✓ Deepak second to right of Esha
✓ Charu not adjacent to Bhanu

Answer: Charu sits to the second to the right of Aman.

Question 3

Six persons Bhanu, Farhan, Deepak, Aman, Esha and Charu are sitting around a hexagonal table, one at each corner, all facing the center. Bhanu sits opposite to Farhan. Deepak sits second to the right of Bhanu. Esha sits second to the right of Charu. 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 Farhan: opp(pos1) = pos4 → Farhan at H4

Step 3: Apply relative positioning
- Deepak second to the right of Bhanu(pos1):
CW 2: pos1→pos2→pos3
→ Deepak 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, Farhan=4, Deepak=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
- Aman not adjacent to Bhanu(pos1):
Adjacent to pos1: pos6 and pos2
→ Aman at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Bhanu → H2:Esha → H3:Deepak → H4:Farhan → H5:Aman → H6:Charu

Step 5: Find Aman's position relative to Deepak
Deepak at pos3, Aman at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Bhanu opposite Farhan
✓ Deepak second to right of Bhanu
✓ Esha second to right of Charu
✓ Aman not adjacent to Bhanu

Answer: Aman sits to the second to the right of Deepak.

Question 4

Six persons Esha, Bhanu, Farhan, Aman, Charu and Deepak are sitting around a hexagonal table, one at each corner, all facing the center. Esha sits opposite to Bhanu. Farhan sits second to the right of Esha. Charu sits second to the right of Deepak. Aman is not adjacent to Esha. What is the position of Aman 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 Esha at H1 (pos 1).
- Esha opposite Bhanu: opp(pos1) = pos4 → Bhanu at H4

Step 3: Apply relative positioning
- Farhan second to the right of Esha(pos1):
CW 2: pos1→pos2→pos3
→ Farhan at H3

- Charu second to the right of Deepak:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Esha=1, Bhanu=4, Farhan=3,
remaining seats: [2, 5, 6].
Charu = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak at pos6, Charu at pos2

Step 4: Apply constraint
- Aman not adjacent to Esha(pos1):
Adjacent to pos1: pos6 and pos2
→ Aman at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Esha → H2:Charu → H3:Farhan → H4:Bhanu → H5:Aman → H6:Deepak

Step 5: Find Aman's position relative to Farhan
Farhan at pos3, Aman at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Esha opposite Bhanu
✓ Farhan second to right of Esha
✓ Charu second to right of Deepak
✓ Aman not adjacent to Esha

Answer: Aman sits to the second to the right of Farhan.

Question 5

Six persons Deepak, Charu, Aman, Esha, Bhanu and Farhan are sitting around a hexagonal table, one at each corner, all facing the center. Deepak sits opposite to Charu. Aman sits second to the right of Deepak. Bhanu sits second to the right of Farhan. Esha is not adjacent to Deepak. What is the position of Esha 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 Charu: opp(pos1) = pos4 → Charu at H4

Step 3: Apply relative positioning
- Aman second to the right of Deepak(pos1):
CW 2: pos1→pos2→pos3
→ Aman at H3

- Bhanu 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 Deepak=1, Charu=4, Aman=3,
remaining seats: [2, 5, 6].
Bhanu = 2 CW from Farhan: pos5 is 2 clockwise [solver-verified].
→ Farhan at pos6, Bhanu at pos2

Step 4: Apply constraint
- Esha not adjacent to Deepak(pos1):
Adjacent to pos1: pos6 and pos2
→ Esha at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Deepak → H2:Bhanu → H3:Aman → H4:Charu → H5:Esha → H6:Farhan

Step 5: Find Esha's position relative to Aman
Aman at pos3, Esha at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Deepak opposite Charu
✓ Aman second to right of Deepak
✓ Bhanu second to right of Farhan
✓ Esha not adjacent to Deepak

Answer: Esha sits to the second to the right of Aman.

Question 6

Six persons Farhan, Bhanu, Charu, Esha, Aman and Deepak are sitting around a hexagonal table, one at each corner, all facing the center. Farhan sits opposite to Bhanu. Charu sits second to the right of Farhan. Aman sits second to the right of Deepak. Esha is not adjacent to Farhan. What is the position of Esha with respect to Charu?

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 Farhan at H1 (pos 1).
- Farhan opposite Bhanu: opp(pos1) = pos4 → Bhanu at H4

Step 3: Apply relative positioning
- Charu second to the right of Farhan(pos1):
CW 2: pos1→pos2→pos3
→ Charu at H3

- Aman second to the right of Deepak:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Farhan=1, Bhanu=4, Charu=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak at pos6, Aman at pos2

Step 4: Apply constraint
- Esha not adjacent to Farhan(pos1):
Adjacent to pos1: pos6 and pos2
→ Esha at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Farhan → H2:Aman → H3:Charu → H4:Bhanu → H5:Esha → H6:Deepak

Step 5: Find Esha's position relative to Charu
Charu at pos3, Esha at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Farhan opposite Bhanu
✓ Charu second to right of Farhan
✓ Aman second to right of Deepak
✓ Esha not adjacent to Farhan

Answer: Esha sits to the second to the right of Charu.

Question 7

Six persons Aman, Deepak, Bhanu, Esha, Charu and Farhan are sitting around a hexagonal table, one at each corner, all facing the center. Aman sits opposite to Deepak. Bhanu sits second to the right of Aman. Charu sits second to the right of Farhan. Esha is not adjacent to Aman. What is the position of Esha with respect to Bhanu?

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
- Bhanu second to the right of Aman(pos1):
CW 2: pos1→pos2→pos3
→ Bhanu at H3

- Charu 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, Deepak=4, Bhanu=3,
remaining seats: [2, 5, 6].
Charu = 2 CW from Farhan: pos5 is 2 clockwise [solver-verified].
→ Farhan at pos6, Charu at pos2

Step 4: Apply constraint
- Esha not adjacent to Aman(pos1):
Adjacent to pos1: pos6 and pos2
→ Esha at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Aman → H2:Charu → H3:Bhanu → H4:Deepak → H5:Esha → H6:Farhan

Step 5: Find Esha's position relative to Bhanu
Bhanu at pos3, Esha at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Aman opposite Deepak
✓ Bhanu second to right of Aman
✓ Charu second to right of Farhan
✓ Esha not adjacent to Aman

Answer: Esha sits to the second to the right of Bhanu.

Question 8

Six persons Esha, Bhanu, Farhan, Deepak, Aman and Charu are sitting around a hexagonal table, one at each corner, all facing the center. Esha sits opposite to Bhanu. Farhan sits second to the right of Esha. Aman sits second to the right of Charu. Deepak is not adjacent to Esha. What is the position of Deepak 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 Esha at H1 (pos 1).
- Esha opposite Bhanu: opp(pos1) = pos4 → Bhanu at H4

Step 3: Apply relative positioning
- Farhan second to the right of Esha(pos1):
CW 2: pos1→pos2→pos3
→ Farhan at H3

- Aman 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 Esha=1, Bhanu=4, Farhan=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Charu: pos5 is 2 clockwise [solver-verified].
→ Charu at pos6, Aman at pos2

Step 4: Apply constraint
- Deepak not adjacent to Esha(pos1):
Adjacent to pos1: pos6 and pos2
→ Deepak at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Esha → H2:Aman → H3:Farhan → H4:Bhanu → H5:Deepak → H6:Charu

Step 5: Find Deepak's position relative to Farhan
Farhan at pos3, Deepak at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Esha opposite Bhanu
✓ Farhan second to right of Esha
✓ Aman second to right of Charu
✓ Deepak not adjacent to Esha

Answer: Deepak sits to the second to the right of Farhan.

Question 9

Six persons Farhan, Aman, Esha, Deepak, Bhanu and Charu are sitting around a hexagonal table, one at each corner, all facing the center. Farhan sits opposite to Aman. Esha sits second to the right of Farhan. Bhanu sits second to the right of Charu. Deepak is not adjacent to Farhan. What is the position of Deepak 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 Farhan at H1 (pos 1).
- Farhan opposite Aman: opp(pos1) = pos4 → Aman at H4

Step 3: Apply relative positioning
- Esha second to the right of Farhan(pos1):
CW 2: pos1→pos2→pos3
→ Esha at H3

- Bhanu 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 Farhan=1, Aman=4, Esha=3,
remaining seats: [2, 5, 6].
Bhanu = 2 CW from Charu: pos5 is 2 clockwise [solver-verified].
→ Charu at pos6, Bhanu at pos2

Step 4: Apply constraint
- Deepak not adjacent to Farhan(pos1):
Adjacent to pos1: pos6 and pos2
→ Deepak at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Farhan → H2:Bhanu → H3:Esha → H4:Aman → H5:Deepak → H6:Charu

Step 5: Find Deepak's position relative to Esha
Esha at pos3, Deepak at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Farhan opposite Aman
✓ Esha second to right of Farhan
✓ Bhanu second to right of Charu
✓ Deepak not adjacent to Farhan

Answer: Deepak sits to the second to the right of Esha.

Question 10

Six persons Bhanu, Esha, Farhan, Aman, Charu and Deepak are sitting around a hexagonal table, one at each corner, all facing the center. Bhanu sits opposite to Esha. Farhan sits second to the right of Bhanu. Charu sits second to the right of Deepak. Aman is not adjacent to Bhanu. What is the position of Aman 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 Bhanu at H1 (pos 1).
- Bhanu opposite Esha: opp(pos1) = pos4 → Esha at H4

Step 3: Apply relative positioning
- Farhan second to the right of Bhanu(pos1):
CW 2: pos1→pos2→pos3
→ Farhan at H3

- Charu second to the right of Deepak:
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, Esha=4, Farhan=3,
remaining seats: [2, 5, 6].
Charu = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak at pos6, Charu 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:Charu → H3:Farhan → H4:Esha → H5:Aman → H6:Deepak

Step 5: Find Aman's position relative to Farhan
Farhan at pos3, Aman at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Bhanu opposite Esha
✓ Farhan second to right of Bhanu
✓ Charu second to right of Deepak
✓ Aman not adjacent to Bhanu

Answer: Aman sits to the second to the right of Farhan.

Question 11

Six persons Farhan, Deepak, Esha, Charu, Aman and Bhanu are sitting around a hexagonal table, one at each corner, all facing the center. Farhan sits opposite to Deepak. Esha sits second to the right of Farhan. Aman sits second to the right of Bhanu. Charu is not adjacent to Farhan. What is the position of Charu 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 Farhan at H1 (pos 1).
- Farhan opposite Deepak: opp(pos1) = pos4 → Deepak at H4

Step 3: Apply relative positioning
- Esha second to the right of Farhan(pos1):
CW 2: pos1→pos2→pos3
→ Esha at H3

- Aman 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 Farhan=1, Deepak=4, Esha=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Bhanu: pos5 is 2 clockwise [solver-verified].
→ Bhanu at pos6, Aman at pos2

Step 4: Apply constraint
- Charu not adjacent to Farhan(pos1):
Adjacent to pos1: pos6 and pos2
→ Charu at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Farhan → H2:Aman → H3:Esha → H4:Deepak → H5:Charu → H6:Bhanu

Step 5: Find Charu's position relative to Esha
Esha at pos3, Charu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Farhan opposite Deepak
✓ Esha second to right of Farhan
✓ Aman second to right of Bhanu
✓ Charu not adjacent to Farhan

Answer: Charu sits to the second to the right of Esha.

Question 12

Six persons Esha, Farhan, Deepak, Bhanu, Charu and Aman are sitting around a hexagonal table, one at each corner, all facing the center. Esha sits opposite to Farhan. Deepak sits second to the right of Esha. Charu sits second to the right of Aman. Bhanu is not adjacent to Esha. What is the position of Bhanu 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 Esha at H1 (pos 1).
- Esha opposite Farhan: opp(pos1) = pos4 → Farhan at H4

Step 3: Apply relative positioning
- Deepak second to the right of Esha(pos1):
CW 2: pos1→pos2→pos3
→ Deepak at H3

- Charu second to the right of Aman:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Esha=1, Farhan=4, Deepak=3,
remaining seats: [2, 5, 6].
Charu = 2 CW from Aman: pos5 is 2 clockwise [solver-verified].
→ Aman at pos6, Charu at pos2

Step 4: Apply constraint
- Bhanu not adjacent to Esha(pos1):
Adjacent to pos1: pos6 and pos2
→ Bhanu at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Esha → H2:Charu → H3:Deepak → H4:Farhan → H5:Bhanu → H6:Aman

Step 5: Find Bhanu's position relative to Deepak
Deepak at pos3, Bhanu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Esha opposite Farhan
✓ Deepak second to right of Esha
✓ Charu second to right of Aman
✓ Bhanu not adjacent to Esha

Answer: Bhanu sits to the second to the right of Deepak.

Question 13

Six persons Aman, Charu, Bhanu, Deepak, Esha and Farhan are sitting around a hexagonal table, one at each corner, all facing the center. Aman sits opposite to Charu. Bhanu sits second to the right of Aman. Esha sits second to the right of Farhan. Deepak is not adjacent to Aman. What is the position of Deepak with respect to Bhanu?

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
- Bhanu second to the right of Aman(pos1):
CW 2: pos1→pos2→pos3
→ Bhanu at H3

- Esha 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, Bhanu=3,
remaining seats: [2, 5, 6].
Esha = 2 CW from Farhan: pos5 is 2 clockwise [solver-verified].
→ Farhan at pos6, Esha at pos2

Step 4: Apply constraint
- Deepak not adjacent to Aman(pos1):
Adjacent to pos1: pos6 and pos2
→ Deepak at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Aman → H2:Esha → H3:Bhanu → H4:Charu → H5:Deepak → H6:Farhan

Step 5: Find Deepak's position relative to Bhanu
Bhanu at pos3, Deepak at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Aman opposite Charu
✓ Bhanu second to right of Aman
✓ Esha second to right of Farhan
✓ Deepak not adjacent to Aman

Answer: Deepak sits to the second to the right of Bhanu.

Question 14

Six persons Bhanu, Charu, Esha, Aman, Farhan and Deepak are sitting around a hexagonal table, one at each corner, all facing the center. Bhanu sits opposite to Charu. Esha sits second to the right of Bhanu. Farhan sits second to the right of Deepak. Aman is not adjacent to Bhanu. What is the position of Aman 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 Bhanu at H1 (pos 1).
- Bhanu opposite Charu: opp(pos1) = pos4 → Charu at H4

Step 3: Apply relative positioning
- Esha second to the right of Bhanu(pos1):
CW 2: pos1→pos2→pos3
→ Esha at H3

- Farhan second to the right of Deepak:
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, Esha=3,
remaining seats: [2, 5, 6].
Farhan = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak 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:Esha → H4:Charu → H5:Aman → H6:Deepak

Step 5: Find Aman's position relative to Esha
Esha at pos3, Aman at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Bhanu opposite Charu
✓ Esha second to right of Bhanu
✓ Farhan second to right of Deepak
✓ Aman not adjacent to Bhanu

Answer: Aman sits to the second to the right of Esha.

Question 15

Six persons Bhanu, Deepak, Charu, Esha, Farhan and Aman are sitting around a hexagonal table, one at each corner, all facing the center. Bhanu sits opposite to Deepak. Charu sits second to the right of Bhanu. Farhan sits second to the right of Aman. Esha is not adjacent to Bhanu. What is the position of Esha with respect to Charu?

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
- Charu second to the right of Bhanu(pos1):
CW 2: pos1→pos2→pos3
→ Charu at H3

- Farhan second to the right of Aman:
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, Charu=3,
remaining seats: [2, 5, 6].
Farhan = 2 CW from Aman: pos5 is 2 clockwise [solver-verified].
→ Aman at pos6, Farhan at pos2

Step 4: Apply constraint
- Esha not adjacent to Bhanu(pos1):
Adjacent to pos1: pos6 and pos2
→ Esha at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Bhanu → H2:Farhan → H3:Charu → H4:Deepak → H5:Esha → H6:Aman

Step 5: Find Esha's position relative to Charu
Charu at pos3, Esha at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Bhanu opposite Deepak
✓ Charu second to right of Bhanu
✓ Farhan second to right of Aman
✓ Esha not adjacent to Bhanu

Answer: Esha sits to the second to the right of Charu.

Question 16

Six persons Esha, Farhan, Charu, Bhanu, Deepak and Aman are sitting around a hexagonal table, one at each corner, all facing the center. Esha sits opposite to Farhan. Charu sits second to the right of Esha. Deepak sits second to the right of Aman. Bhanu is not adjacent to Esha. What is the position of Bhanu with respect to Charu?

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 Esha at H1 (pos 1).
- Esha opposite Farhan: opp(pos1) = pos4 → Farhan at H4

Step 3: Apply relative positioning
- Charu second to the right of Esha(pos1):
CW 2: pos1→pos2→pos3
→ Charu at H3

- Deepak second to the right of Aman:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Esha=1, Farhan=4, Charu=3,
remaining seats: [2, 5, 6].
Deepak = 2 CW from Aman: pos5 is 2 clockwise [solver-verified].
→ Aman at pos6, Deepak at pos2

Step 4: Apply constraint
- Bhanu not adjacent to Esha(pos1):
Adjacent to pos1: pos6 and pos2
→ Bhanu at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Esha → H2:Deepak → H3:Charu → H4:Farhan → H5:Bhanu → H6:Aman

Step 5: Find Bhanu's position relative to Charu
Charu at pos3, Bhanu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Esha opposite Farhan
✓ Charu second to right of Esha
✓ Deepak second to right of Aman
✓ Bhanu not adjacent to Esha

Answer: Bhanu sits to the second to the right of Charu.

Question 17

Six persons Charu, Esha, Deepak, Bhanu, Farhan and Aman are sitting around a hexagonal table, one at each corner, all facing the center. Charu sits opposite to Esha. Deepak sits second to the right of Charu. Farhan sits second to the right of Aman. Bhanu is not adjacent to Charu. What is the position of Bhanu 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 Charu at H1 (pos 1).
- Charu opposite Esha: opp(pos1) = pos4 → Esha at H4

Step 3: Apply relative positioning
- Deepak second to the right of Charu(pos1):
CW 2: pos1→pos2→pos3
→ Deepak at H3

- Farhan second to the right of Aman:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Charu=1, Esha=4, Deepak=3,
remaining seats: [2, 5, 6].
Farhan = 2 CW from Aman: pos5 is 2 clockwise [solver-verified].
→ Aman at pos6, Farhan at pos2

Step 4: Apply constraint
- Bhanu not adjacent to Charu(pos1):
Adjacent to pos1: pos6 and pos2
→ Bhanu at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Charu → H2:Farhan → H3:Deepak → H4:Esha → H5:Bhanu → H6:Aman

Step 5: Find Bhanu's position relative to Deepak
Deepak at pos3, Bhanu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Charu opposite Esha
✓ Deepak second to right of Charu
✓ Farhan second to right of Aman
✓ Bhanu not adjacent to Charu

Answer: Bhanu sits to the second to the right of Deepak.

Question 18

Six persons Bhanu, Deepak, Farhan, Aman, Charu and Esha are sitting around a hexagonal table, one at each corner, all facing the center. Bhanu sits opposite to Deepak. Farhan sits second to the right of Bhanu. Charu sits second to the right of Esha. Aman is not adjacent to Bhanu. What is the position of Aman 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 Bhanu at H1 (pos 1).
- Bhanu opposite Deepak: opp(pos1) = pos4 → Deepak at H4

Step 3: Apply relative positioning
- Farhan second to the right of Bhanu(pos1):
CW 2: pos1→pos2→pos3
→ Farhan at H3

- Charu 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, Deepak=4, Farhan=3,
remaining seats: [2, 5, 6].
Charu = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha at pos6, Charu 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:Charu → H3:Farhan → H4:Deepak → H5:Aman → H6:Esha

Step 5: Find Aman's position relative to Farhan
Farhan at pos3, Aman at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Bhanu opposite Deepak
✓ Farhan second to right of Bhanu
✓ Charu second to right of Esha
✓ Aman not adjacent to Bhanu

Answer: Aman sits to the second to the right of Farhan.

Question 19

Six persons Aman, Farhan, Esha, Deepak, Charu and Bhanu are sitting around a hexagonal table, one at each corner, all facing the center. Aman sits opposite to Farhan. Esha sits second to the right of Aman. Charu sits second to the right of Bhanu. Deepak is not adjacent to Aman. What is the position of Deepak 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 Farhan: opp(pos1) = pos4 → Farhan at H4

Step 3: Apply relative positioning
- Esha second to the right of Aman(pos1):
CW 2: pos1→pos2→pos3
→ Esha at H3

- Charu 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 Aman=1, Farhan=4, Esha=3,
remaining seats: [2, 5, 6].
Charu = 2 CW from Bhanu: pos5 is 2 clockwise [solver-verified].
→ Bhanu at pos6, Charu at pos2

Step 4: Apply constraint
- Deepak not adjacent to Aman(pos1):
Adjacent to pos1: pos6 and pos2
→ Deepak at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Aman → H2:Charu → H3:Esha → H4:Farhan → H5:Deepak → H6:Bhanu

Step 5: Find Deepak's position relative to Esha
Esha at pos3, Deepak at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Aman opposite Farhan
✓ Esha second to right of Aman
✓ Charu second to right of Bhanu
✓ Deepak not adjacent to Aman

Answer: Deepak sits to the second to the right of Esha.

Question 20

Six persons Farhan, Esha, Bhanu, Charu, Aman and Deepak are sitting around a hexagonal table, one at each corner, all facing the center. Farhan sits opposite to Esha. Bhanu sits second to the right of Farhan. Aman sits second to the right of Deepak. Charu is not adjacent to Farhan. What is the position of Charu with respect to Bhanu?

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 Farhan at H1 (pos 1).
- Farhan opposite Esha: opp(pos1) = pos4 → Esha at H4

Step 3: Apply relative positioning
- Bhanu second to the right of Farhan(pos1):
CW 2: pos1→pos2→pos3
→ Bhanu at H3

- Aman second to the right of Deepak:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Farhan=1, Esha=4, Bhanu=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Deepak: pos5 is 2 clockwise [solver-verified].
→ Deepak at pos6, Aman at pos2

Step 4: Apply constraint
- Charu not adjacent to Farhan(pos1):
Adjacent to pos1: pos6 and pos2
→ Charu at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Farhan → H2:Aman → H3:Bhanu → H4:Esha → H5:Charu → H6:Deepak

Step 5: Find Charu's position relative to Bhanu
Bhanu at pos3, Charu at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Farhan opposite Esha
✓ Bhanu second to right of Farhan
✓ Aman second to right of Deepak
✓ Charu not adjacent to Farhan

Answer: Charu sits to the second to the right of Bhanu.

📝 Continue your Hexagonal Table Arrangement practice. Worksheet 4 focuses on common variations practice.

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