Seating Arrangement - Intermediate Level: parallel rows INTERMEDIATE

Exam-focused quick response training β˜… worksheet: 20 intermediate-level seating arrangement questions. Worksheet 13 of 30 targets parallel rows. Build proficiency in relative positions, facing directions, adjacent seating with detailed solutions. Ideal for mid-level competitive exam preparation.

πŸ“ Worksheet 13 of 30 β€’ 20 questions β€’ ⏱️ Estimated time: 20 minutes β€’ 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Seating Arrangement
Worksheet 13 of 30 (43% complete)

Question 1

Five friends R, S, T, P and Q are sitting in a row facing South. R sits at the right extreme end. S sits second to the right of T. Q sits immediately to the right of T (from viewer's perspective). P is not adjacent to R. 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
- R at the right extreme end β†’ Position 5
- S sits second to the right of T:
South-facing right = viewer's left = lower position: pos[S] = pos[T] - 2
Possible: T=3β†’S=1, or T=4β†’S=2
- Q sits immediately to the right of T (viewer's right = higher pos): pos[Q] = pos[T] + 1
If T=3 β†’ Q=4 βœ“ (pos 4 free)
If T=4 β†’ Q=5 = R βœ— (conflict)
∴ T=3, S=1, Q=4

Position: S _ T Q R

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

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

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

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

Question 2

Five persons X, Z, V, W and Y are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then V must sit immediately next to Z - If X does not sit at an extreme end, then W must sit at an extreme end - Y cannot sit next to X - Z sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Z sits second from the left β†’ Z at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Z at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
β€’ X Z V W Y
β€’ X Z V Y W
β€’ V Z Y W X
β€’ W Z X V Y
β€’ Y Z X V W
β€’ Y Z V X W
(shown up to 6)

Step 3: Test each MCQ option

- "Y sits at position 1": βœ“ Possible in at least one valid arrangement
- "X sits at position 2": βœ— NEVER possible β†’ must be FALSE
- "Y sits at position 5": βœ“ Possible in at least one valid arrangement
- "X sits at position 4": βœ“ Possible in at least one valid arrangement

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) β€” it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 3

Five persons X, Z, W, V and Y are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then W must sit immediately next to Z - If X does not sit at an extreme end, then V must sit at an extreme end - Y cannot sit next to X - Z sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Z sits second from the left β†’ Z at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Z at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
β€’ X Z W V Y
β€’ X Z W Y V
β€’ W Z Y V X
β€’ V Z X W Y
β€’ Y Z X W V
β€’ Y Z W X V
(shown up to 6)

Step 3: Test each MCQ option

- "V sits at position 5": βœ“ Possible in at least one valid arrangement
- "V sits at position 1": βœ“ Possible in at least one valid arrangement
- "X sits at position 4": βœ“ Possible in at least one valid arrangement
- "X sits at position 2": βœ— NEVER possible β†’ must be FALSE

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) β€” it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 4

Eight persons are sitting in two concentric circles. Inner circle: B, D, A and C (4 persons) facing the center. Outer circle: P, S, R and Q (4 persons) facing the center (2 positions in outer circle are empty). Each inner person directly faces one outer seat (4 outer seats occupied, 2 empty). P faces B. D sits immediately to the right of B in the inner circle. C sits opposite to D in the inner circle. S sits second to the right of R in the outer circle. Q sits immediately to the left of an empty seat in the outer circle. Who sits opposite to D in the inner circle?
Solution Approach:

Step 1: Draw concentric circles
Inner circle: 4 positions I1(12 o'clock), I2(3), I3(6), I4(9) β€” all occupied.
Outer circle: 6 positions O1–O6 clockwise β€” 4 occupied, 2 empty.
Facing alignment: I1↔O1, I2↔O2, I3↔O4, I4↔O5 (O3 and O6 are empty).

Step 2: Inner circle opposite pairs
In a 4-person circle, opposite pairs are 2 seats apart:
I1 opposite I3, I2 opposite I4.

Step 3: Place inner circle persons
- D sits immediately to the right of B (inner circle, facing center: right=CW)
β†’ B and D are adjacent. Possible: B=I1, D=I2 or B=I2, D=I3, etc.
- C sits opposite to D:
If D=I2, then C=I4. Then B=I1 (left of I2), A=I3 (remaining).
All constraints consistent βœ“.

Inner: I1=B, I2=D, I3=A, I4=C

Step 4: Place outer circle persons
- P faces B(I1) β†’ P at O1 βœ“
- Outer occupied seats: O1, O2, O4, O5. Empty: O3, O6.
- S second to right of R (outer, facing center: right=CW, step 2):
Remaining outer persons: S,R,Q at O2, O4, O5.
R=O2 β†’ Q=O4, S=O5 βœ“
R=O4 β†’ Q=O6(empty) βœ—
R=O5 β†’ Q=O1=P βœ—
∴ R=O2, S=O4, Q=O5 βœ“
- Q(O5) immediately to the LEFT of an empty:
Left(CW) of O5 = O4(S) β€” NOT empty.
RIGHT(CW) of O5 = O6(empty). So O5 is immediately to the LEFT of O6(empty) βœ“.

Step 5: Answer the question
D is at I2. Opposite of I2 = I4 = C.

Final Arrangements:
Inner (CW): I1=B, I2=D, I3=A, I4=C
Outer (CW): O1=P, O2=R, O3=empty, O4=S, O5=Q, O6=empty

Verification:
βœ“ P faces B (I1↔O1)
βœ“ D immediately right of B (I2 is CW from I1)
βœ“ C opposite D (I4 opposite I2)
βœ“ S second right of R (O4 = O2 + 2 CW)
βœ“ Q(O5) immediately left of empty O6

Answer: C sits opposite to D.

Question 5

Six persons P, K, O, M, N and L sit around a circular table facing outward. K sits second to the left of P. O sits opposite to K. M sits immediately to the right of O. N sits opposite to P. Who sits immediately to the left of K?
Solution Approach:

Step 1: Understanding facing outward
When facing outward (away from center):
- LEFT = CLOCKWISE direction
- RIGHT = ANTI-CLOCKWISE direction
- Opposite positions are still n/2 = 3 seats apart.

Step 2: Draw diagram (positions 1–6 clockwise)

Step 3: Apply conditions
- Fix P at position 1.
- K sits second to the LEFT of P: left(outward)=CW, so K is 2 CW from P.
pos[K] = 3
- O sits opposite K (pos 3): pos 6
- M sits immediately to the RIGHT of O (pos 6):
right(outward)=anti-CW β†’ pos 5
- N sits opposite P (pos 1): pos 4
- Remaining L fills pos 2.

Final Arrangement (clockwise):
pos1:P β†’ pos2:L β†’ pos3:K β†’ pos4:N β†’ pos5:M β†’ pos6:O
(All facing outward β†—)

Find immediate left of K (pos 3):
Left (outward) = clockwise β†’ pos 4 = N

Verification:
βœ“ K second to left of P (CW direction)
βœ“ O opposite K
βœ“ M immediately right (anti-CW) of O
βœ“ N opposite P

Answer: N sits immediately to the left of K.

Question 6

Five persons W, Y, Z, V and X are to be seated in a row facing North. The following conditions apply: - If W sits at an extreme end, then Z must sit immediately next to Y - If W does not sit at an extreme end, then V must sit at an extreme end - X cannot sit next to W - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left β†’ Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
β€’ W Y Z V X
β€’ W Y Z X V
β€’ Z Y X V W
β€’ V Y W Z X
β€’ X Y W Z V
β€’ X Y Z W V
(shown up to 6)

Step 3: Test each MCQ option

- "Z sits at position 4": βœ“ Possible in at least one valid arrangement
- "W sits at position 2": βœ— NEVER possible β†’ must be FALSE
- "V sits at position 5": βœ“ Possible in at least one valid arrangement
- "X sits at position 1": βœ“ Possible in at least one valid arrangement

Step 4: Conclusion
"W sits at position 2" is impossible in ALL 7 valid arrangement(s) β€” it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "W sits at position 2" must be FALSE.

Question 7

Five persons D, B, C, A and E are sitting in a row facing North. D sits at one of the extreme ends. B sits second to the right of D. C sits immediately to the left of B. A is not at any extreme end. Who sits at the other extreme end?
Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end β†’ Place D at position 1
- B sits second to the right of D β†’ B at position 3
- C sits immediately to the left of B β†’ C at position 2

Position: D C B _ _

Step 3: Apply constraint conditions
- A is not at any extreme end β†’ remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only E remains β†’ E at position 5

Final Arrangement (all facing North ↑):
Position: D C B A E

Verification:
βœ“ D at extreme end (pos 1)
βœ“ B second to the right of D (pos 3)
βœ“ C immediately to the left of B (pos 2)
βœ“ A not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Question 8

Eight persons T, N, P, R, S, M, Q and O are sitting around a circular table. Some face the center and some face outward. T faces the center. N faces outward and sits third to the right of T. P sits second to the left of T and faces the same direction as N. R faces the center and sits immediately to the right of P. M sits immediately to the right of T. O sits opposite T. Q is not adjacent to N. Who sits second to the right of R?
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 T (faces center) at position 1 (reference point)
- N faces outward, sits third to the RIGHT of T:
T faces center β†’ right = clockwise
3 CW from pos 1 β†’ pos 4
N = pos 4 βœ“

Step 4: Apply relative positions
- P sits second to the LEFT of T (pos 1):
T faces center β†’ left = anti-clockwise
2 anti-CW from pos 1 β†’ pos 7
P faces same as N β†’ OUTWARD
- R faces center, sits immediately to the RIGHT of P (pos 7):
P faces outward β†’ right = anti-clockwise
1 anti-CW from pos 7 β†’ pos 6

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

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

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

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

Answer: Q sits second to the right of R.

Question 9

Six persons E, F, A, D, C and B are sitting around a circular table facing the center. E sits second to the left of F. A sits opposite to E. D sits immediately to the right of A. B is not adjacent to D. 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 E at position 1 (reference point)
- E is second to the LEFT of F β†’ F is 2 clockwise from E
pos[F] = 3
- A sits OPPOSITE E (pos 1) β†’ pos 4
- D sits immediately to the right of A (pos 4) β†’ pos 5

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

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

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

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

Answer: C sits opposite to F.

Question 10

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

Step 3: Apply relative positioning
- Farhan second to the right of Deepak(pos1):
CW 2: pos1β†’pos2β†’pos3
β†’ 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 Deepak=1, Aman=4, Farhan=3,
remaining seats: [2, 5, 6].
Bhanu = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
β†’ Esha at pos6, Bhanu at pos2

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

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

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

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

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

Question 11

Five persons C, B, D, E and A are sitting in a row facing North. C sits at one of the extreme ends. B sits second to the right of C. D sits immediately to the left of B. E is not at any extreme end. Who sits at the other extreme end?
Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end β†’ Place C at position 1
- B sits second to the right of C β†’ B at position 3
- D sits immediately to the left of B β†’ D at position 2

Position: C D B _ _

Step 3: Apply constraint conditions
- E is not at any extreme end β†’ remaining positions are 4 and 5; E cannot be at 5, so E at position 4
- Only A remains β†’ A at position 5

Final Arrangement (all facing North ↑):
Position: C D B E A

Verification:
βœ“ C at extreme end (pos 1)
βœ“ B second to the right of C (pos 3)
βœ“ D immediately to the left of B (pos 2)
βœ“ E not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Question 12

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

Step 1: Identify genders
Males: Sunil, Manoj, Amit
Females: Sita, Isha, 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 Sunil at pos 1.
Then: pos2=Female, pos3=Male, pos4=Female, pos5=Male, pos6=Female.

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

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

Final Arrangement:
pos1:Sunil β†’ pos2:Isha β†’ pos3:Amit β†’ pos4:Divya β†’ pos5:Manoj β†’ pos6:Sita

Verification:
βœ“ No adjacent males: Sunil(1)-Divya(2), Manoj(3)-Sita(4), Amit(5)-Isha(6) β€” all M-F pairs
βœ“ Isha(pos6) second right of Sita(pos4): CW 2 from pos4 = pos6 βœ“
βœ“ Manoj(pos3) not adjacent to Isha(pos6): pos3 and pos6 are not adjacent βœ“

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

Answer: Manoj sits immediately to the right of Divya.

Question 13

Five friends R, S, T, Q and P are sitting in a row facing South. R sits at the right extreme end. S sits second to the right of T. P sits immediately to the right of T (from viewer's perspective). Q is not adjacent to R. 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
- R at the right extreme end β†’ Position 5
- S sits second to the right of T:
South-facing right = viewer's left = lower position: pos[S] = pos[T] - 2
Possible: T=3β†’S=1, or T=4β†’S=2
- P sits immediately to the right of T (viewer's right = higher pos): pos[P] = pos[T] + 1
If T=3 β†’ P=4 βœ“ (pos 4 free)
If T=4 β†’ P=5 = R βœ— (conflict)
∴ T=3, S=1, P=4

Position: S _ T P R

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

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

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

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

Question 14

Two parallel rows of chairs. Row 1 has B, E, C, D and A facing South. Row 2 has R, S, Q, T and P facing North. Each person in one row faces exactly one person from the other row. C sits fourth from the left end of Row 1. R faces C. B sits at an extreme end of Row 1. E sits second to the right of B. S sits second to the left of R. Q sits at an extreme end of Row 2. P is not adjacent to R in Row 2. Who faces E?
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
- C 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
- E sits second to the RIGHT of B (south-facing β†’ lower position):
pos[E] = pos[B] - 2
If B at pos 1 β†’ pos[E] = -1 (invalid βœ—)
If B at pos 5 β†’ pos[E] = 3 βœ“ (pos 3 is free)
∴ B at pos 5, E at pos 3 βœ“

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

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

Row 2: P S T R Q

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

Find who faces E:
E is at Row 1, position 3.
Person at Row 2, position 3 = T

Answer: T faces E.

Question 15

Six persons E, B, F, A, D and C are sitting around a circular table facing the center. E sits second to the left of B. F sits opposite to E. A sits immediately to the right of F. C is not adjacent to A. Who sits opposite to B?
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 E at position 1 (reference point)
- E is second to the LEFT of B β†’ B is 2 clockwise from E
pos[B] = 3
- F sits OPPOSITE E (pos 1) β†’ pos 4
- A sits immediately to the right of F (pos 4) β†’ pos 5

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

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

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

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

Answer: D sits opposite to B.

Question 16

Five persons W, Z, Y, X and V are to be seated in a row facing North. The following conditions apply: - If W sits at an extreme end, then Y must sit immediately next to Z - If W does not sit at an extreme end, then X must sit at an extreme end - V cannot sit next to W - Z sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Z sits second from the left β†’ Z at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Z at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
β€’ W Z Y X V
β€’ W Z Y V X
β€’ Y Z V X W
β€’ X Z W Y V
β€’ V Z W Y X
β€’ V Z Y W X
(shown up to 6)

Step 3: Test each MCQ option

- "W sits at position 1": βœ“ Possible in at least one valid arrangement
- "W sits at position 2": βœ— NEVER possible β†’ must be FALSE
- "W sits at position 4": βœ“ Possible in at least one valid arrangement
- "Z sits at position 2": βœ“ Possible in at least one valid arrangement

Step 4: Conclusion
"W sits at position 2" is impossible in ALL 7 valid arrangement(s) β€” it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "W sits at position 2" must be FALSE.

Question 17

Five persons V, Y, Z, W and X are to be seated in a row facing North. The following conditions apply: - If V sits at an extreme end, then Z must sit immediately next to Y - If V does not sit at an extreme end, then W must sit at an extreme end - X cannot sit next to V - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left β†’ Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
β€’ V Y Z W X
β€’ V Y Z X W
β€’ Z Y X W V
β€’ W Y V Z X
β€’ X Y V Z W
β€’ X Y Z V W
(shown up to 6)

Step 3: Test each MCQ option

- "Z sits at position 1": βœ“ Possible in at least one valid arrangement
- "Z sits at position 3": βœ“ Possible in at least one valid arrangement
- "V sits at position 2": βœ— NEVER possible β†’ must be FALSE
- "V sits at position 4": βœ“ Possible in at least one valid arrangement

Step 4: Conclusion
"V sits at position 2" is impossible in ALL 7 valid arrangement(s) β€” it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "V sits at position 2" must be FALSE.

Question 18

There are 10 seats in a row, all facing North. 8 persons C, G, D, E, A, F, H and B are seated, leaving 2 seats empty. C sits at seat 3. B sits at seat 8. One empty seat is at an extreme end. G sits immediately to the right of an empty seat. E 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
- C at seat 3
- B at seat 8 (seat 8)
- One empty seat at extreme end β†’ seat 1 is empty

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

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

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

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

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

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

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

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

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

Answer: 7 persons sit between the two empty seats.

Question 19

Six persons E, B, D, A, C and F are sitting around a circular table facing the center. E sits second to the left of B. D sits opposite to E. A sits immediately to the right of D. F is not adjacent to A. Who sits opposite to B?
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 E at position 1 (reference point)
- E is second to the LEFT of B β†’ B is 2 clockwise from E
pos[B] = 3
- D sits OPPOSITE E (pos 1) β†’ pos 4
- A sits immediately to the right of D (pos 4) β†’ pos 5

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

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

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

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

Answer: C sits opposite to B.

Question 20

Ten persons A, H, G, D, F, J, E, B, C and I are sitting around a rectangular table. Three persons sit on each longer side, two on each shorter side, all facing the center. A sits at the middle of a longer side. H sits at the middle of a shorter side. G sits second to the right of A. F sits at a corner and D sits at the corner opposite to F. Who sits second to the left of H?
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
- A at middle of longer side β†’ pos 7 (mid-bottom)
- H at middle of shorter side β†’ pos 4 (mid-right)
- G second to the RIGHT of A (pos 7):
right(center-facing)=CW: pos7+2 = pos9 β†’ G βœ“
- F at a corner β†’ pos 1
- D at corner OPPOSITE to F: pos5 β†’ D βœ“
- J second to the LEFT of H (pos 4):
left(center-facing)=anti-CW: pos4-2 = pos2 β†’ J βœ“

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

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

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

Answer: J sits second to the left of H.
Previous Worksheet Next Worksheet