Double Row Facing Each Other - Expert Level: conceptual clarity Double Row Facing Each Other EXPERT

This skill evaluation ⚡ worksheet focuses on Double Row Facing Each Other - a key topic in Seating Arrangement. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master double row facing each other ssc cgl, double row facing each other reasoning tricks, and fast double row facing each other solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:

Master double row facing each other ssc cgl through focused practice
Understand the logic behind double row facing each other reasoning tricks
Learn step-by-step approaches to conceptual clarity
Develop intuition for instant problem recognition
Achieve mastery with the most difficult problem types

Your progress through Double Row Facing Each Other

Worksheet 9 of 10 (88% complete)

Question 1

Two parallel rows of chairs. Row 1 has B, A, E, C and D facing South. Row 2 has T, R, Q, S and P 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. T faces E. B sits at an extreme end of Row 1. A sits second to the right of B. R sits second to the left of T. Q sits at an extreme end of Row 2. P is not adjacent to T in Row 2. Who faces A?

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 → Row 1, pos 4
- B sits at an extreme end: pos 1 or pos 5
- A sits second to the RIGHT of B (south-facing → lower position):
pos[A] = pos[B] - 2
If B at pos 1 → pos[A] = -1 (invalid ✗)
If B at pos 5 → pos[A] = 3 ✓ (pos 3 is free)
∴ B at pos 5, A at pos 3 ✓

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

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

Row 2: P R S T Q

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

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

Answer: S faces A.

Question 2

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

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
- B sits 4th from the left end of Row 1 → Row 1, pos 4
- C sits at an extreme end: pos 1 or pos 5
- D sits second to the RIGHT of C (south-facing → lower position):
pos[D] = pos[C] - 2
If C at pos 1 → pos[D] = -1 (invalid ✗)
If C at pos 5 → pos[D] = 3 ✓ (pos 3 is free)
∴ C at pos 5, D at pos 3 ✓

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

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

Row 2: Q R T S P

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

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

Answer: T faces D.

Question 3

Two parallel rows of chairs. Row 1 has B, E, D, A and C facing South. Row 2 has T, R, Q, P and S facing North. Each person in one row faces exactly one person from the other row. D sits fourth from the left end of Row 1. T faces D. B sits at an extreme end of Row 1. E sits second to the right of B. R sits second to the left of T. Q sits at an extreme end of Row 2. S is not adjacent to T 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
- D sits 4th from the left end of Row 1 → 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 → lower position):
pos[E] = pos[B] - 2
If B at pos 1 → pos[E] = -1 (invalid ✗)
If B at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ B at pos 5, E at pos 3 ✓

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

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

Row 2: S R P T Q

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

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

Answer: P faces E.

Question 4

Two parallel rows of chairs. Row 1 has B, C, D, E and A facing South. Row 2 has P, S, Q, T and R facing North. Each person in one row faces exactly one person from the other row. D sits fourth from the left end of Row 1. P faces D. B sits at an extreme end of Row 1. C sits second to the right of B. S sits second to the left of P. Q sits at an extreme end of Row 2. R 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
- D sits 4th from the left end of Row 1 → 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 → lower position):
pos[C] = pos[B] - 2
If B at pos 1 → pos[C] = -1 (invalid ✗)
If B at pos 5 → pos[C] = 3 ✓ (pos 3 is free)
∴ B at pos 5, C at pos 3 ✓

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

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

Row 2: R S T P Q

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

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

Answer: T faces C.

Question 5

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

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
- B sits 4th from the left end of Row 1 → Row 1, pos 4
- E sits at an extreme end: pos 1 or pos 5
- A sits second to the RIGHT of E (south-facing → lower position):
pos[A] = pos[E] - 2
If E at pos 1 → pos[A] = -1 (invalid ✗)
If E at pos 5 → pos[A] = 3 ✓ (pos 3 is free)
∴ E at pos 5, A at pos 3 ✓

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

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

Row 2: R Q S P T

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

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

Answer: S faces A.

Question 6

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

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
- B sits 4th from the left end of Row 1 → Row 1, pos 4
- D sits at an extreme end: pos 1 or pos 5
- A sits second to the RIGHT of D (south-facing → lower position):
pos[A] = pos[D] - 2
If D at pos 1 → pos[A] = -1 (invalid ✗)
If D at pos 5 → pos[A] = 3 ✓ (pos 3 is free)
∴ D at pos 5, A at pos 3 ✓

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

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

Row 2: R P Q T S

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

Find who faces A:
A is at Row 1, position 3.
Person at Row 2, position 3 = Q

Answer: Q faces A.

Question 7

Two parallel rows of chairs. Row 1 has D, A, E, B and C facing South. Row 2 has S, R, Q, P and T 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. S faces E. D sits at an extreme end of Row 1. A sits second to the right of D. R sits second to the left of S. Q sits at an extreme end of Row 2. T is not adjacent to S in Row 2. Who faces A?

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 → Row 1, pos 4
- D sits at an extreme end: pos 1 or pos 5
- A sits second to the RIGHT of D (south-facing → lower position):
pos[A] = pos[D] - 2
If D at pos 1 → pos[A] = -1 (invalid ✗)
If D at pos 5 → pos[A] = 3 ✓ (pos 3 is free)
∴ D at pos 5, A at pos 3 ✓

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

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

Row 2: T R P S Q

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

Find who faces A:
A is at Row 1, position 3.
Person at Row 2, position 3 = P

Answer: P faces A.

Question 8

Two parallel rows of chairs. Row 1 has D, C, E, A and B facing South. Row 2 has S, Q, P, T and R 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. S faces E. D sits at an extreme end of Row 1. C sits second to the right of D. Q sits second to the left of S. P sits at an extreme end of Row 2. R is not adjacent to S 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 → Row 1, pos 4
- D sits at an extreme end: pos 1 or pos 5
- C sits second to the RIGHT of D (south-facing → lower position):
pos[C] = pos[D] - 2
If D at pos 1 → pos[C] = -1 (invalid ✗)
If D at pos 5 → pos[C] = 3 ✓ (pos 3 is free)
∴ D at pos 5, C at pos 3 ✓

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

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

Row 2: R Q T S P

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

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

Answer: T faces C.

Question 9

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

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
- B sits 4th from the left end of Row 1 → Row 1, pos 4
- C sits at an extreme end: pos 1 or pos 5
- D sits second to the RIGHT of C (south-facing → lower position):
pos[D] = pos[C] - 2
If C at pos 1 → pos[D] = -1 (invalid ✗)
If C at pos 5 → pos[D] = 3 ✓ (pos 3 is free)
∴ C at pos 5, D at pos 3 ✓

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

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

Row 2: R Q S T P

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

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

Answer: S faces D.

Question 10

Two parallel rows of chairs. Row 1 has B, A, E, C and D facing South. Row 2 has T, P, S, Q and R 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. T faces E. B sits at an extreme end of Row 1. A sits second to the right of B. P sits second to the left of T. S sits at an extreme end of Row 2. R is not adjacent to T in Row 2. Who faces A?

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 → Row 1, pos 4
- B sits at an extreme end: pos 1 or pos 5
- A sits second to the RIGHT of B (south-facing → lower position):
pos[A] = pos[B] - 2
If B at pos 1 → pos[A] = -1 (invalid ✗)
If B at pos 5 → pos[A] = 3 ✓ (pos 3 is free)
∴ B at pos 5, A at pos 3 ✓

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

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

Row 2: R P Q T S

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

Find who faces A:
A is at Row 1, position 3.
Person at Row 2, position 3 = Q

Answer: Q faces A.

Question 11

Two parallel rows of chairs. Row 1 has B, E, A, C and D facing South. Row 2 has R, Q, P, T and S facing North. Each person in one row faces exactly one person from the other row. A sits fourth from the left end of Row 1. R faces A. B sits at an extreme end of Row 1. E sits second to the right of B. Q sits second to the left of R. P sits at an extreme end of Row 2. S 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
- A sits 4th from the left end of Row 1 → 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 → lower position):
pos[E] = pos[B] - 2
If B at pos 1 → pos[E] = -1 (invalid ✗)
If B at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ B at pos 5, E at pos 3 ✓

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

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

Row 2: S Q T R P

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

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

Answer: T faces E.

Question 12

Two parallel rows of chairs. Row 1 has D, E, A, C and B facing South. Row 2 has S, R, T, P and Q facing North. Each person in one row faces exactly one person from the other row. A sits fourth from the left end of Row 1. S faces A. D sits at an extreme end of Row 1. E sits second to the right of D. R sits second to the left of S. T sits at an extreme end of Row 2. Q is not adjacent to S 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
- A sits 4th from the left end of Row 1 → Row 1, pos 4
- D sits at an extreme end: pos 1 or pos 5
- E sits second to the RIGHT of D (south-facing → lower position):
pos[E] = pos[D] - 2
If D at pos 1 → pos[E] = -1 (invalid ✗)
If D at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ D at pos 5, E at pos 3 ✓

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

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

Row 2: Q R P S T

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

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

Answer: P faces E.

Question 13

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

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
- D sits 4th from the left end of Row 1 → Row 1, pos 4
- A sits at an extreme end: pos 1 or pos 5
- B sits second to the RIGHT of A (south-facing → lower position):
pos[B] = pos[A] - 2
If A at pos 1 → pos[B] = -1 (invalid ✗)
If A at pos 5 → pos[B] = 3 ✓ (pos 3 is free)
∴ A at pos 5, B at pos 3 ✓

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

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

Row 2: S P T R Q

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

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

Answer: T faces B.

Question 14

Two parallel rows of chairs. Row 1 has E, C, A, D and B facing South. Row 2 has R, Q, P, S and T facing North. Each person in one row faces exactly one person from the other row. A sits fourth from the left end of Row 1. R faces A. E sits at an extreme end of Row 1. C sits second to the right of E. Q sits second to the left of R. P sits at an extreme end of Row 2. T is not adjacent to R 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
- A sits 4th from the left end of Row 1 → Row 1, pos 4
- E sits at an extreme end: pos 1 or pos 5
- C sits second to the RIGHT of E (south-facing → lower position):
pos[C] = pos[E] - 2
If E at pos 1 → pos[C] = -1 (invalid ✗)
If E at pos 5 → pos[C] = 3 ✓ (pos 3 is free)
∴ E at pos 5, C at pos 3 ✓

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

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

Row 2: T Q S R P

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

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

Answer: S faces C.

Question 15

Two parallel rows of chairs. Row 1 has A, E, C, B and D facing South. Row 2 has T, R, S, Q 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. T faces C. A sits at an extreme end of Row 1. E sits second to the right of A. R sits second to the left of T. S sits at an extreme end of Row 2. P is not adjacent to T 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 → Row 1, pos 4
- A sits at an extreme end: pos 1 or pos 5
- E sits second to the RIGHT of A (south-facing → lower position):
pos[E] = pos[A] - 2
If A at pos 1 → pos[E] = -1 (invalid ✗)
If A at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ A at pos 5, E at pos 3 ✓

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

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

Row 2: P R Q T S

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

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

Answer: Q faces E.

Question 16

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

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
- B sits 4th from the left end of Row 1 → Row 1, pos 4
- E sits at an extreme end: pos 1 or pos 5
- D sits second to the RIGHT of E (south-facing → lower position):
pos[D] = pos[E] - 2
If E at pos 1 → pos[D] = -1 (invalid ✗)
If E at pos 5 → pos[D] = 3 ✓ (pos 3 is free)
∴ E at pos 5, D at pos 3 ✓

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

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

Row 2: R T S P Q

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

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

Answer: S faces D.

Question 17

Two parallel rows of chairs. Row 1 has C, E, A, D and B facing South. Row 2 has Q, T, R, P and S facing North. Each person in one row faces exactly one person from the other row. A sits fourth from the left end of Row 1. Q faces A. C sits at an extreme end of Row 1. E sits second to the right of C. T sits second to the left of Q. R sits at an extreme end of Row 2. S is not adjacent to Q 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
- A sits 4th from the left end of Row 1 → Row 1, pos 4
- C sits at an extreme end: pos 1 or pos 5
- E sits second to the RIGHT of C (south-facing → lower position):
pos[E] = pos[C] - 2
If C at pos 1 → pos[E] = -1 (invalid ✗)
If C at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ C at pos 5, E at pos 3 ✓

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

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

Row 2: S T P Q R

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

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

Answer: P faces E.

Question 18

Two parallel rows of chairs. Row 1 has B, C, E, A and D facing South. Row 2 has T, Q, P, S and R 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. T faces E. B sits at an extreme end of Row 1. C sits second to the right of B. Q sits second to the left of T. P sits at an extreme end of Row 2. R is not adjacent to T 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 → 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 → lower position):
pos[C] = pos[B] - 2
If B at pos 1 → pos[C] = -1 (invalid ✗)
If B at pos 5 → pos[C] = 3 ✓ (pos 3 is free)
∴ B at pos 5, C at pos 3 ✓

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

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

Row 2: R Q S T P

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

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

Answer: S faces C.

Question 19

Two parallel rows of chairs. Row 1 has D, C, B, E and A facing South. Row 2 has R, P, S, Q and T facing North. Each person in one row faces exactly one person from the other row. B sits fourth from the left end of Row 1. R faces B. D sits at an extreme end of Row 1. C sits second to the right of D. P sits second to the left of R. S sits at an extreme end of Row 2. T is not adjacent to R 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
- B sits 4th from the left end of Row 1 → Row 1, pos 4
- D sits at an extreme end: pos 1 or pos 5
- C sits second to the RIGHT of D (south-facing → lower position):
pos[C] = pos[D] - 2
If D at pos 1 → pos[C] = -1 (invalid ✗)
If D at pos 5 → pos[C] = 3 ✓ (pos 3 is free)
∴ D at pos 5, C at pos 3 ✓

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

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

Row 2: T P Q R S

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

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

Answer: Q faces C.

Question 20

Two parallel rows of chairs. Row 1 has D, E, A, C and B facing South. Row 2 has Q, T, P, R and S facing North. Each person in one row faces exactly one person from the other row. A sits fourth from the left end of Row 1. Q faces A. D sits at an extreme end of Row 1. E sits second to the right of D. T sits second to the left of Q. P sits at an extreme end of Row 2. S is not adjacent to Q 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
- A sits 4th from the left end of Row 1 → Row 1, pos 4
- D sits at an extreme end: pos 1 or pos 5
- E sits second to the RIGHT of D (south-facing → lower position):
pos[E] = pos[D] - 2
If D at pos 1 → pos[E] = -1 (invalid ✗)
If D at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ D at pos 5, E at pos 3 ✓

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

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

Row 2: S T R Q P

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

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

Answer: R faces E.

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