Seating Arrangement - Beginner Level: table arrangement BEGINNER

Level up your seating arrangement skills with this entry level practice. 20 beginner-level problems await in Worksheet 4 of 30. Focus area: table arrangement. Learn table arrangement, position puzzles, relative positions through systematic practice. Designed for entry-level learners seeking foundational concepts and basic patterns.

πŸ“ Worksheet 4 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Seating Arrangement
Worksheet 4 of 30 (13% complete)

Question 1

Ten persons E, J, H, G, C, F, A, I, B and D are sitting around a rectangular table. Three persons sit on each longer side, two on each shorter side, all facing the center. E sits at the middle of a longer side. J sits at the middle of a shorter side. H sits second to the right of E. C sits at a corner and G sits at the corner opposite to C. Who sits second to the left of J?
Solution Approach:

Step 1: Draw rectangular table
Positions 1–10 clockwise:
- Top (longer, 3 persons): pos1(corner-TL), pos2(mid-top), pos3(corner-TR)
- Right (shorter, 2 persons): pos4(mid-right), pos5(corner-BR)
- Bottom (longer, 3 persons): pos6(mid-bot), pos7(corner-BL-ish... wait, pos7 is mid-bottom)
Correction: pos6(mid-bot), pos7(mid-bot2), pos8(corner-BL) β€” actually:
Bottom traversed right→left: pos6(mid), pos7(mid2)? For 3 persons: corner is shared with adjacent side.
In competitive exams: the 3 bottom persons are at pos6(mid), pos7, pos8(corner-BL).
Actually pos6,7,8 with pos8=BL-corner and pos5=BR-corner. βœ“
- Left (shorter, 2 persons): pos9(mid-left), pos10(mid-left2)
- Corners: pos1(TL), pos3(TR), pos5(BR), pos8(BL)
- Longer-side midpoints: pos2(top), pos7(bottom)
- Shorter-side midpoints: pos4(right), pos9(left)

Step 2: Place persons
- E at middle of longer side β†’ pos 7 (mid-bottom)
- J at middle of shorter side β†’ pos 4 (mid-right)
- H second to the RIGHT of E (pos 7):
right(center-facing)=CW: pos7+2 = pos9 β†’ H βœ“
- C at a corner β†’ pos 1
- G at corner OPPOSITE to C: pos5 β†’ G βœ“
- F second to the LEFT of J (pos 4):
left(center-facing)=anti-CW: pos4-2 = pos2 β†’ F βœ“

Step 3: Fill remaining positions
Remaining persons: A, I, B, D
Remaining seats: [3, 6, 8, 10]

Final Arrangement (clockwise):
pos1:C | pos2:F | pos3:A | pos4:J | pos5:G | pos6:I | pos7:E | pos8:B | pos9:H | pos10:D

Find second to the left of J (pos 4):
Left (anti-CW): pos4 β†’ pos3 β†’ pos2 = F

Answer: F sits second to the left of J.

Question 2

Six persons S, Q, R, P, U and T are sitting in a row. Some are facing North and some are facing South. S sits third from the left end facing North. Q sits second to the right of S and faces opposite direction. R sits at the left extreme end facing South. P sits immediately to the left of Q facing North. T sits at the right extreme end. Who sits between R and S?
Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- S sits third from the left end facing North (↑) β†’ Position 3
- R sits at the left extreme end facing South (↓) β†’ Position 1

Position: R(↓) _ S(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of S (pos 3) β†’ Position 5
- Q faces opposite direction to S (North) β†’ Q faces South (↓)
- P sits immediately to the left of Q (pos 5) facing North (↑) β†’ Position 4

Position: R(↓) _ S(↑) P(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: U, T
Position 2 gets U, Position 6 gets T

Final Arrangement:
Pos: R(↓) U(↑) S(↑) P(↑) Q(↓) T(↑)

Verification:
βœ“ S at pos 3, facing North
βœ“ Q at pos 5 (second right of S), facing South (opposite of S)
βœ“ R at pos 1 (left extreme), facing South
βœ“ P at pos 4 (immediately left of Q), facing North

Person between R (pos 1) and S (pos 3): pos 2 = U

Answer: U sits between R and S.

Question 3

Six persons F, C, B, E, D and A are sitting around a circular table facing the center. F sits second to the left of C. B sits opposite to F. E sits immediately to the right of B. A is not adjacent to E. Who sits opposite to C?
Solution Approach:

Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.

Step 2: Place definite positions
- Fix F at position 1 (reference point)
- F is second to the LEFT of C β†’ C is 2 clockwise from F
pos[C] = 3
- B sits OPPOSITE F (pos 1) β†’ pos 4
- E sits immediately to the right of B (pos 4) β†’ pos 5

Step 3: Resolve remaining positions
Remaining persons: A, D β†’ remaining seats: [2, 6]
A is NOT adjacent to E (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore A β†’ pos 2, and D β†’ pos 6.

Final Arrangement (clockwise):
pos1:F β†’ pos2:A β†’ pos3:C β†’ pos4:B β†’ pos5:E β†’ pos6:D
(All facing center)

Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6

C is at pos 3 β†’ opposite = pos 6 = D

Answer: D sits opposite to C.

Question 4

Six persons Q, P, T, S, U and R are sitting in a row. Some are facing North and some are facing South. Q sits third from the left end facing North. P sits second to the right of Q and faces opposite direction. T sits at the left extreme end facing South. S sits immediately to the left of P facing North. R sits at the right extreme end. Who sits between T and Q?
Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- Q sits third from the left end facing North (↑) β†’ Position 3
- T sits at the left extreme end facing South (↓) β†’ Position 1

Position: T(↓) _ Q(↑) _ _ _

Step 3: Apply relative positioning
- P sits second to the right of Q (pos 3) β†’ Position 5
- P faces opposite direction to Q (North) β†’ P faces South (↓)
- S sits immediately to the left of P (pos 5) facing North (↑) β†’ Position 4

Position: T(↓) _ Q(↑) S(↑) P(↓) _

Step 4: Fill remaining positions
Remaining persons: U, R
Position 2 gets U, Position 6 gets R

Final Arrangement:
Pos: T(↓) U(↑) Q(↑) S(↑) P(↓) R(↑)

Verification:
βœ“ Q at pos 3, facing North
βœ“ P at pos 5 (second right of Q), facing South (opposite of Q)
βœ“ T at pos 1 (left extreme), facing South
βœ“ S at pos 4 (immediately left of P), facing North

Person between T (pos 1) and Q (pos 3): pos 2 = U

Answer: U sits between T and Q.

Question 5

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

Step 3: Apply relative positioning
- Charu second to the right of Aman(pos1):
CW 2: pos1β†’pos2β†’pos3
β†’ Charu at H3

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

Step 4: Apply constraint
- Esha not adjacent to Aman(pos1):
Adjacent to pos1: pos6 and pos2
β†’ Esha at pos5 (not adjacent) βœ“

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

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

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

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

Question 6

Six persons R, Q, U, P, T and S are sitting in a row. Some are facing North and some are facing South. R sits third from the left end facing North. Q sits second to the right of R and faces opposite direction. U sits at the left extreme end facing South. P sits immediately to the left of Q facing North. S sits at the right extreme end. Who sits between U and R?
Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- R sits third from the left end facing North (↑) β†’ Position 3
- U sits at the left extreme end facing South (↓) β†’ Position 1

Position: U(↓) _ R(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of R (pos 3) β†’ Position 5
- Q faces opposite direction to R (North) β†’ Q faces South (↓)
- P sits immediately to the left of Q (pos 5) facing North (↑) β†’ Position 4

Position: U(↓) _ R(↑) P(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: T, S
Position 2 gets T, Position 6 gets S

Final Arrangement:
Pos: U(↓) T(↑) R(↑) P(↑) Q(↓) S(↑)

Verification:
βœ“ R at pos 3, facing North
βœ“ Q at pos 5 (second right of R), facing South (opposite of R)
βœ“ U at pos 1 (left extreme), facing South
βœ“ P at pos 4 (immediately left of Q), facing North

Person between U (pos 1) and R (pos 3): pos 2 = T

Answer: T sits between U and R.

Question 7

There are 10 seats in a row, all facing North. 8 persons F, E, D, C, A, H, G and B are seated, leaving 2 seats empty. F sits at seat 3. B sits at seat 8. One empty seat is at an extreme end. E sits immediately to the right of an empty seat. C sits fourth to the left of B. How many persons sit between the two empty seats?
Solution Approach:

Step 1: Mark total positions
Seats: 1 2 3 4 5 6 7 8 9 10
Total: 10 seats, 8 persons, 2 empty.

Step 2: Place definite positions
- F at seat 3
- B at seat 8 (seat 8)
- One empty seat at extreme end β†’ seat 1 is empty

Seat: 1(_) 2(_) 3(F) 4(_) 5(_) 6(_) 7(_) 8(B) 9(_) 10(_)

Step 3: Apply empty seat adjacency
- E sits immediately to the RIGHT of an empty seat
- Empty at seat 1 β†’ seat 2 = E βœ“

Seat: 1(_) 2(E) 3(F) 4(_) 5(_) 6(_) 7(_) 8(B) 9(_) 10(_)

Step 4: Apply "fourth to the left" condition
- C sits fourth to the LEFT of B (seat 8)
- Fourth to left: 8 β†’ 7 β†’ 6 β†’ 5 β†’ 4
- C at seat 4 βœ“

Seat: 1(_) 2(E) 3(F) 4(C) 5(_) 6(_) 7(_) 8(B) 9(_) 10(_)

Step 5: Locate second empty seat
Remaining persons: A, H, G, D β†’ fill seats 5, 6, 7, 9, 10 minus one empty.
After placing A(5), H(6), G(7), D(10): seat 9 is empty.

Step 6: Final arrangement
Seat: 1(_) 2(E) 3(F) 4(C) 5(A) 6(H) 7(G) 8(B) 9(_) 10(D)

Count persons between empty seats (seat 1 and seat 9):
Seats 2 through 8: E, F, C, A, H, G, B = 7 persons

Verification:
βœ“ F at seat 3
βœ“ B at seat 8
βœ“ Empty at seat 1 (extreme end)
βœ“ E immediately right of empty seat 1
βœ“ C fourth to left of B (seat 4 = seat 8 - 4)

Answer: 7 persons sit between the two empty seats.

Question 8

Six family members β€” Deepak (grandfather), Meera (grandmother), Vikram (father), Ekta (mother), Rahul (son), and Divya (daughter) β€” are sitting around a circular table facing the center. No male sits adjacent to another male. Ekta sits second to the right of Meera. Vikram is not adjacent to his wife. Rahul is not adjacent to Meera. Who sits immediately to the right of Divya?
Solution Approach:

Step 1: Identify genders
Males: Deepak, Vikram, Rahul
Females: Meera, Ekta, Divya

Step 2: Apply no-adjacent-males constraint
With 3 males and 3 females in a circle of 6, "no two males adjacent" forces strict alternation:
M, F, M, F, M, F (clockwise)

Step 3: Build the arrangement
Position 1: a Male. Let Deepak at pos 1.
Then: pos2=Female, pos3=Male, pos4=Female, pos5=Male, pos6=Female.

Step 4: Apply the mother-grandmother constraint
Ekta sits second to the RIGHT of Meera (right=CW):
Female positions: 2, 4, 6.
- If Meera=pos2 β†’ Ekta=pos4 βœ“ (or pos2+2=pos4)
- If Meera=pos4 β†’ Ekta=pos6 βœ“
- If Meera=pos6 β†’ Ekta=pos8%6=pos2 βœ“

Step 5: Apply father-not-adjacent-to-mother (wife) constraint
Vikram's wife = Ekta.
Vikram not adjacent to Ekta.
Male positions: 1, 3, 5. Female positions: 2, 4, 6.
Testing Meera=pos4 β†’ Ekta=pos6:
- Father options: pos1, pos3, pos5.
Adjacent to pos6: pos5, pos1. So father β‰  pos5 and β‰  pos1 β†’ Vikram=pos3 βœ“.
Remaining males: Deepak(1), Rahul(5). Divya and Meera fill pos2, pos4.
Meera=pos4 (as set). Divya=pos2 βœ“.

Final Arrangement:
pos1:Deepak β†’ pos2:Ekta β†’ pos3:Rahul β†’ pos4:Divya β†’ pos5:Vikram β†’ pos6:Meera

Verification:
βœ“ No adjacent males: Deepak(1)-Divya(2), Vikram(3)-Meera(4), Rahul(5)-Ekta(6) β€” all M-F pairs
βœ“ Ekta(pos6) second right of Meera(pos4): CW 2 from pos4 = pos6 βœ“
βœ“ Vikram(pos3) not adjacent to Ekta(pos6): pos3 and pos6 are not adjacent βœ“

Find immediately to the right of Divya:
Divya at pos 4. Right (CW) = pos 5 = Vikram.

Answer: Vikram sits immediately to the right of Divya.

Question 9

Eight persons S, P, R, N, O, T, M and Q are sitting around a circular table. Some face the center and some face outward. S faces the center. P faces outward and sits third to the right of S. R sits second to the left of S and faces the same direction as P. N faces the center and sits immediately to the right of R. T sits immediately to the right of S. Q sits opposite S. M is not adjacent to P. Who sits second to the right of N?
Solution Approach:

Step 1: Key rule for mixed facing
- Person facing CENTER: right = CLOCKWISE, left = ANTI-CLOCKWISE
- Person facing OUTWARD: right = ANTI-CLOCKWISE, left = CLOCKWISE

Step 2: Draw 8-seat circle (positions 1–8 clockwise)

Step 3: Start with definite information
- Fix S (faces center) at position 1 (reference point)
- P faces outward, sits third to the RIGHT of S:
S faces center β†’ right = clockwise
3 CW from pos 1 β†’ pos 4
N = pos 4 βœ“

Step 4: Apply relative positions
- R sits second to the LEFT of S (pos 1):
S faces center β†’ left = anti-clockwise
2 anti-CW from pos 1 β†’ pos 7
R faces same as P β†’ OUTWARD
- N faces center, sits immediately to the RIGHT of R (pos 7):
R faces outward β†’ right = anti-clockwise
1 anti-CW from pos 7 β†’ pos 6

Step 5: Fill remaining persons
- T immediately to the RIGHT of S(pos 1, center→CW): pos 2
- Q opposite S(pos 1): pos 5
- M not adjacent to P(pos 4): adj = pos 3 & 5
β†’ M at pos 8, O at pos 3

Final Arrangement (clockwise):
pos1:S(ctr) | pos2:T(out) | pos3:O(ctr) | pos4:P(out) | pos5:Q(out) | pos6:N(ctr) | pos7:R(out) | pos8:M(ctr)

Find second to the right of N (pos 6, center-facing β†’ CW):
2 CW from pos 6: β†’ pos 8 = M

Verification:
βœ“ P(outward) 3 left of S(center): 3 ACW from pos1 = pos4
βœ“ R 2nd left of S, same direction as P (outward)
βœ“ N(center) immediately right of R(outward, right=ACW)
βœ“ T immediately right (CW) of S
βœ“ Q opposite S
βœ“ M not adjacent to P

Answer: M sits second to the right of N.

Question 10

Eight persons E, F, C, A, G, B, D and H are sitting around a square table. Four persons sit at corners and four at the middle of sides, all facing the center. E sits at a corner. F sits second to the right of E. C sits at the middle of a side and is not adjacent to E. A sits opposite to E. G sits at a corner immediately to the right of C. B sits immediately to the left of F. D is not adjacent to A. How many persons sit between E and A when counted from the left of E?
Solution Approach:

Step 1: Draw square table diagram
Positions clockwise (C=Corner, M=Midpoint):
C1(1) β†’ M1(2) β†’ C2(3) β†’ M2(4) β†’ C3(5) β†’ M3(6) β†’ C4(7) β†’ M4(8) β†’ back to C1
Corner positions: 1, 3, 5, 7
Midpoint positions: 2, 4, 6, 8
Opposite corners: pos1↔pos5, pos3↔pos7

Step 2: Place persons systematically
- E sits at a corner β†’ pos 1
- F sits second to the RIGHT of E: right(center-facing)=CW
2 CW from pos 1 β†’ pos 3 βœ“ (corner)
- A sits OPPOSITE E (pos 1) β†’ pos 5 βœ“
- C at midpoint, NOT adjacent to E(pos 1):
Adjacent to pos 1: pos 8 and pos 2
C β†’ pos 6 (midpoint, not adjacent) βœ“
- G sits at corner immediately to the RIGHT of C(pos 6):
1 CW from pos 6 β†’ pos 7 (corner) βœ“

Step 3: Remaining persons
Remaining: B, D, H
Fill remaining seats: pos2=B, pos8=D, pos4=H

Final Arrangement (clockwise):
pos1:E β†’ pos2:B β†’ pos3:F β†’ pos4:H β†’ pos5:A β†’ pos6:C β†’ pos7:G β†’ pos8:D

Step 4: Count from LEFT of E to A
Left = anti-clockwise direction from E(pos 1):
pos1(E) β†’ pos8(D) β†’ pos7(G) β†’ pos6(C) β†’ pos5(A)
Persons between (excluding E and A): pos8(D), pos7(G), pos6(C)
Count = 3 person(s)

Answer: Three person(s) sit between E and A.

Question 11

Six persons Q, R, U, P, S and T are sitting in a row. Some are facing North and some are facing South. Q sits third from the left end facing North. R sits second to the right of Q and faces opposite direction. U sits at the left extreme end facing South. P sits immediately to the left of R facing North. T sits at the right extreme end. Who sits between U and Q?
Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- Q sits third from the left end facing North (↑) β†’ Position 3
- U sits at the left extreme end facing South (↓) β†’ Position 1

Position: U(↓) _ Q(↑) _ _ _

Step 3: Apply relative positioning
- R sits second to the right of Q (pos 3) β†’ Position 5
- R faces opposite direction to Q (North) β†’ R faces South (↓)
- P sits immediately to the left of R (pos 5) facing North (↑) β†’ Position 4

Position: U(↓) _ Q(↑) P(↑) R(↓) _

Step 4: Fill remaining positions
Remaining persons: S, T
Position 2 gets S, Position 6 gets T

Final Arrangement:
Pos: U(↓) S(↑) Q(↑) P(↑) R(↓) T(↑)

Verification:
βœ“ Q at pos 3, facing North
βœ“ R at pos 5 (second right of Q), facing South (opposite of Q)
βœ“ U at pos 1 (left extreme), facing South
βœ“ P at pos 4 (immediately left of R), facing North

Person between U (pos 1) and Q (pos 3): pos 2 = S

Answer: S sits between U and Q.

Question 12

Six persons S, T, U, P, Q and R are sitting in a row. Some are facing North and some are facing South. S sits third from the left end facing North. T sits second to the right of S and faces opposite direction. U sits at the left extreme end facing South. P sits immediately to the left of T facing North. R sits at the right extreme end. Who sits between U and S?
Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- S sits third from the left end facing North (↑) β†’ Position 3
- U sits at the left extreme end facing South (↓) β†’ Position 1

Position: U(↓) _ S(↑) _ _ _

Step 3: Apply relative positioning
- T sits second to the right of S (pos 3) β†’ Position 5
- T faces opposite direction to S (North) β†’ T faces South (↓)
- P sits immediately to the left of T (pos 5) facing North (↑) β†’ Position 4

Position: U(↓) _ S(↑) P(↑) T(↓) _

Step 4: Fill remaining positions
Remaining persons: Q, R
Position 2 gets Q, Position 6 gets R

Final Arrangement:
Pos: U(↓) Q(↑) S(↑) P(↑) T(↓) R(↑)

Verification:
βœ“ S at pos 3, facing North
βœ“ T at pos 5 (second right of S), facing South (opposite of S)
βœ“ U at pos 1 (left extreme), facing South
βœ“ P at pos 4 (immediately left of T), facing North

Person between U (pos 1) and S (pos 3): pos 2 = Q

Answer: Q sits between U and S.

Question 13

Five friends T, P, R, S and Q are sitting in a row facing South. T sits at the right extreme end. P sits second to the right of R. Q sits immediately to the right of R (from viewer's perspective). S is not adjacent to T. Who sits at the left extreme end?
Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) β€” "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- T at the right extreme end β†’ Position 5
- P sits second to the right of R:
South-facing right = viewer's left = lower position: pos[P] = pos[R] - 2
Possible: R=3β†’P=1, or R=4β†’P=2
- Q sits immediately to the right of R (viewer's right = higher pos): pos[Q] = pos[R] + 1
If R=3 β†’ Q=4 βœ“ (pos 4 free)
If R=4 β†’ Q=5 = T βœ— (conflict)
∴ R=3, P=1, Q=4

Position: P _ R Q T

Step 4: Apply constraint
- S not adjacent to T (pos 5): S β‰  pos 4 (taken by Q) β†’ S at pos 2 βœ“

Final Arrangement (all facing South ↓):
Position: P S R Q T

Verification:
βœ“ T at right extreme end (pos 5)
βœ“ P second to right of R: pos[P](=1)-2 = 3 = pos[R] (south-facing right=lower)
βœ“ Q immediately right of R (viewer right): pos 3+1 = 4
βœ“ S not adjacent to T (pos 2, not pos 4)

Answer: P sits at the left extreme end (position 1).

Question 14

Two parallel rows of chairs. Row 1 has B, C, E, D and A facing South. Row 2 has P, T, R, S and Q facing North. Each person in one row faces exactly one person from the other row. E sits fourth from the left end of Row 1. P faces E. B sits at an extreme end of Row 1. C sits second to the right of B. T sits second to the left of P. R sits at an extreme end of Row 2. Q is not adjacent to P in Row 2. Who faces C?
Solution Approach:

Step 1: Draw the double row setup
Row 1 faces South (↓), Row 2 faces North (↑)
Person at position i in Row 1 faces person at position i in Row 2.

Position: 1 2 3 4 5
Row 1 (↓): _ _ _ _ _
Row 2 (↑): _ _ _ _ _

Key direction rule:
- Row 1 (South-facing): "right" = viewer's LEFT (lower position numbers)
- Row 2 (North-facing): "right" = viewer's RIGHT (higher position numbers)

Step 2: Place Row 1 persons
- E sits 4th from the left end of Row 1 β†’ Row 1, pos 4
- B sits at an extreme end: pos 1 or pos 5
- C sits second to the RIGHT of B (south-facing β†’ lower position):
pos[C] = pos[B] - 2
If B at pos 1 β†’ pos[C] = -1 (invalid βœ—)
If B at pos 5 β†’ pos[C] = 3 βœ“ (pos 3 is free)
∴ B at pos 5, C at pos 3 βœ“

Row 1: _ _ C E B
Remaining D,A at pos 1 and 2 (either order β€” pinned next).

Step 3: Place Row 2 persons
- P faces E (pos 4) β†’ P at Row 2, pos 4
- T sits second to the LEFT of P (north-facing β†’ lower position):
pos[T] = pos[P] - 2 = 2 β†’ T at Row 2 pos 2 βœ“
- R sits at extreme end of Row 2: pos 1 or pos 5
- Q is NOT adjacent to P (pos 4): adjacent = pos 3 and pos 5
So Q β‰  pos 3 and Q β‰  pos 5
Remaining positions for R,S,Q: pos 1, pos 3, pos 5
Q not at pos 3 or pos 5 β†’ Q at pos 1
R at extreme β†’ pos 5 (since pos 1 is Q) βœ“
S fills pos 3 βœ“

Row 2: Q T S P R

Final Arrangement:
Position: 1 2 3 4 5
Row 1 (↓): D/A D/A C E B
Row 2 (↑): Q T S P R

Find who faces C:
C is at Row 1, position 3.
Person at Row 2, position 3 = S

Answer: S faces C.

Question 15

Six family members β€” Sunil (grandfather), Swati (grandmother), Rohan (father), Gita (mother), Raj (son), and Farah (daughter) β€” are sitting around a circular table facing the center. No male sits adjacent to another male. Gita sits second to the right of Swati. Rohan is not adjacent to his wife. Raj is not adjacent to Swati. Who sits immediately to the right of Farah?
Solution Approach:

Step 1: Identify genders
Males: Sunil, Rohan, Raj
Females: Swati, Gita, Farah

Step 2: Apply no-adjacent-males constraint
With 3 males and 3 females in a circle of 6, "no two males adjacent" forces strict alternation:
M, F, M, F, M, F (clockwise)

Step 3: Build the arrangement
Position 1: a Male. Let Sunil at pos 1.
Then: pos2=Female, pos3=Male, pos4=Female, pos5=Male, pos6=Female.

Step 4: Apply the mother-grandmother constraint
Gita sits second to the RIGHT of Swati (right=CW):
Female positions: 2, 4, 6.
- If Swati=pos2 β†’ Gita=pos4 βœ“ (or pos2+2=pos4)
- If Swati=pos4 β†’ Gita=pos6 βœ“
- If Swati=pos6 β†’ Gita=pos8%6=pos2 βœ“

Step 5: Apply father-not-adjacent-to-mother (wife) constraint
Rohan's wife = Gita.
Rohan not adjacent to Gita.
Male positions: 1, 3, 5. Female positions: 2, 4, 6.
Testing Swati=pos4 β†’ Gita=pos6:
- Father options: pos1, pos3, pos5.
Adjacent to pos6: pos5, pos1. So father β‰  pos5 and β‰  pos1 β†’ Rohan=pos3 βœ“.
Remaining males: Sunil(1), Raj(5). Farah and Swati fill pos2, pos4.
Swati=pos4 (as set). Farah=pos2 βœ“.

Final Arrangement:
pos1:Sunil β†’ pos2:Gita β†’ pos3:Raj β†’ pos4:Farah β†’ pos5:Rohan β†’ pos6:Swati

Verification:
βœ“ No adjacent males: Sunil(1)-Farah(2), Rohan(3)-Swati(4), Raj(5)-Gita(6) β€” all M-F pairs
βœ“ Gita(pos6) second right of Swati(pos4): CW 2 from pos4 = pos6 βœ“
βœ“ Rohan(pos3) not adjacent to Gita(pos6): pos3 and pos6 are not adjacent βœ“

Find immediately to the right of Farah:
Farah at pos 4. Right (CW) = pos 5 = Rohan.

Answer: Rohan sits immediately to the right of Farah.

Question 16

Six family members β€” Kunal (grandfather), Meera (grandmother), Ram (father), Divya (mother), Rajesh (son), and Priya (daughter) β€” are sitting around a circular table facing the center. No male sits adjacent to another male. Divya sits second to the right of Meera. Ram is not adjacent to his wife. Rajesh is not adjacent to Meera. Who sits immediately to the right of Priya?
Solution Approach:

Step 1: Identify genders
Males: Kunal, Ram, Rajesh
Females: Meera, Divya, Priya

Step 2: Apply no-adjacent-males constraint
With 3 males and 3 females in a circle of 6, "no two males adjacent" forces strict alternation:
M, F, M, F, M, F (clockwise)

Step 3: Build the arrangement
Position 1: a Male. Let Kunal at pos 1.
Then: pos2=Female, pos3=Male, pos4=Female, pos5=Male, pos6=Female.

Step 4: Apply the mother-grandmother constraint
Divya sits second to the RIGHT of Meera (right=CW):
Female positions: 2, 4, 6.
- If Meera=pos2 β†’ Divya=pos4 βœ“ (or pos2+2=pos4)
- If Meera=pos4 β†’ Divya=pos6 βœ“
- If Meera=pos6 β†’ Divya=pos8%6=pos2 βœ“

Step 5: Apply father-not-adjacent-to-mother (wife) constraint
Ram's wife = Divya.
Ram not adjacent to Divya.
Male positions: 1, 3, 5. Female positions: 2, 4, 6.
Testing Meera=pos4 β†’ Divya=pos6:
- Father options: pos1, pos3, pos5.
Adjacent to pos6: pos5, pos1. So father β‰  pos5 and β‰  pos1 β†’ Ram=pos3 βœ“.
Remaining males: Kunal(1), Rajesh(5). Priya and Meera fill pos2, pos4.
Meera=pos4 (as set). Priya=pos2 βœ“.

Final Arrangement:
pos1:Kunal β†’ pos2:Divya β†’ pos3:Rajesh β†’ pos4:Priya β†’ pos5:Ram β†’ pos6:Meera

Verification:
βœ“ No adjacent males: Kunal(1)-Priya(2), Ram(3)-Meera(4), Rajesh(5)-Divya(6) β€” all M-F pairs
βœ“ Divya(pos6) second right of Meera(pos4): CW 2 from pos4 = pos6 βœ“
βœ“ Ram(pos3) not adjacent to Divya(pos6): pos3 and pos6 are not adjacent βœ“

Find immediately to the right of Priya:
Priya at pos 4. Right (CW) = pos 5 = Ram.

Answer: Ram sits immediately to the right of Priya.

Question 17

Six persons Charu, Esha, Deepak, Aman, Farhan and Bhanu 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 Bhanu. Aman is not adjacent to Charu. 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 Charu at H1 (pos 1).
- Charu opposite Esha: opp(pos1) = pos4 β†’ Esha at H4

Step 3: Apply relative positioning
- Deepak second to the right of Charu(pos1):
CW 2: pos1β†’pos2β†’pos3
β†’ Deepak at H3

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

Step 4: Apply constraint
- Aman not adjacent to Charu(pos1):
Adjacent to pos1: pos6 and pos2
β†’ Aman at pos5 (not adjacent) βœ“

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

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

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

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

Question 18

Six persons A, F, E, C, B and D are sitting around a circular table facing the center. A sits second to the left of F. E sits opposite to A. C sits immediately to the right of E. D is not adjacent to C. Who sits opposite to F?
Solution Approach:

Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.

Step 2: Place definite positions
- Fix A at position 1 (reference point)
- A is second to the LEFT of F β†’ F is 2 clockwise from A
pos[F] = 3
- E sits OPPOSITE A (pos 1) β†’ pos 4
- C sits immediately to the right of E (pos 4) β†’ pos 5

Step 3: Resolve remaining positions
Remaining persons: D, B β†’ remaining seats: [2, 6]
D is NOT adjacent to C (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore D β†’ pos 2, and B β†’ pos 6.

Final Arrangement (clockwise):
pos1:A β†’ pos2:D β†’ pos3:F β†’ pos4:E β†’ pos5:C β†’ pos6:B
(All facing center)

Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6

F is at pos 3 β†’ opposite = pos 6 = B

Answer: B sits opposite to F.

Question 19

Six persons A, D, E, B, F and C are sitting around a circular table facing the center. A sits second to the left of D. E sits opposite to A. B sits immediately to the right of E. C is not adjacent to B. Who sits opposite to D?
Solution Approach:

Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.

Step 2: Place definite positions
- Fix A at position 1 (reference point)
- A is second to the LEFT of D β†’ D is 2 clockwise from A
pos[D] = 3
- E sits OPPOSITE A (pos 1) β†’ pos 4
- B sits immediately to the right of E (pos 4) β†’ pos 5

Step 3: Resolve remaining positions
Remaining persons: C, F β†’ remaining seats: [2, 6]
C is NOT adjacent to B (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore C β†’ pos 2, and F β†’ pos 6.

Final Arrangement (clockwise):
pos1:A β†’ pos2:C β†’ pos3:D β†’ pos4:E β†’ pos5:B β†’ pos6:F
(All facing center)

Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6

D is at pos 3 β†’ opposite = pos 6 = F

Answer: F sits opposite to D.

Question 20

Five friends T, R, Q, P and S are sitting in a row facing South. T sits at the right extreme end. R sits second to the right of Q. S sits immediately to the right of Q (from viewer's perspective). P is not adjacent to T. Who sits at the left extreme end?
Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) β€” "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- T at the right extreme end β†’ Position 5
- R sits second to the right of Q:
South-facing right = viewer's left = lower position: pos[R] = pos[Q] - 2
Possible: Q=3β†’R=1, or Q=4β†’R=2
- S sits immediately to the right of Q (viewer's right = higher pos): pos[S] = pos[Q] + 1
If Q=3 β†’ S=4 βœ“ (pos 4 free)
If Q=4 β†’ S=5 = T βœ— (conflict)
∴ Q=3, R=1, S=4

Position: R _ Q S T

Step 4: Apply constraint
- P not adjacent to T (pos 5): P β‰  pos 4 (taken by S) β†’ P at pos 2 βœ“

Final Arrangement (all facing South ↓):
Position: R P Q S T

Verification:
βœ“ T at right extreme end (pos 5)
βœ“ R second to right of Q: pos[R](=1)-2 = 3 = pos[Q] (south-facing right=lower)
βœ“ S immediately right of Q (viewer right): pos 3+1 = 4
βœ“ P not adjacent to T (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).
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