Double Row Facing Each Other - Intermediate Level: tricky scenarios handling Double Row Facing Each Other INTERMEDIATE

This expert challenge 📈 worksheet focuses on Double Row Facing Each Other - a key topic in Seating Arrangement. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve double row facing each other, double row facing each other tricks, and double row facing each other shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:

Master how to solve double row facing each other through focused practice
Understand the logic behind double row facing each other tricks
Learn step-by-step approaches to tricky scenarios handling
Improve your solving speed while maintaining accuracy
Learn to eliminate wrong options efficiently

Your progress through Double Row Facing Each Other

Worksheet 5 of 10 (44% complete)

Question 1

Two parallel rows of chairs. Row 1 has E, A, D, C and B facing South. Row 2 has S, P, T, Q 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. S faces D. E sits at an extreme end of Row 1. A sits second to the right of E. P sits second to the left of S. T sits at an extreme end of Row 2. R 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
- D 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 D E
Remaining C,B at pos 1 and 2 (either order — pinned next).

Step 3: Place Row 2 persons
- S faces D (pos 4) → S at Row 2, pos 4
- P sits second to the LEFT of S (north-facing → lower position):
pos[P] = pos[S] - 2 = 2 → P at Row 2 pos 2 ✓
- T 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 T,Q,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) ✓
Q fills pos 3 ✓

Row 2: R P Q S T

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

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

Answer: Q faces A.

Question 2

Two parallel rows of chairs. Row 1 has B, C, A, E and D facing South. Row 2 has S, P, Q, T and R 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. B sits at an extreme end of Row 1. C sits second to the right of B. P sits second to the left of S. Q 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
- 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
- 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 A B
Remaining E,D 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
- P sits second to the LEFT of S (north-facing → lower position):
pos[P] = pos[S] - 2 = 2 → P at Row 2 pos 2 ✓
- Q 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 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 P T S Q

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

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

Answer: T faces C.

Question 3

Two parallel rows of chairs. Row 1 has D, E, B, A and C facing South. Row 2 has T, S, P, R 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. T faces B. D sits at an extreme end of Row 1. E sits second to the right of D. S sits second to the left of T. P sits at an extreme end of Row 2. Q 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
- 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
- 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 B D
Remaining A,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
- S sits second to the LEFT of T (north-facing → lower position):
pos[S] = pos[T] - 2 = 2 → S at Row 2 pos 2 ✓
- P sits at extreme end of Row 2: pos 1 or pos 5
- Q is NOT adjacent to T (pos 4): adjacent = pos 3 and pos 5
So Q ≠ pos 3 and Q ≠ pos 5
Remaining positions for P,R,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) ✓
R fills pos 3 ✓

Row 2: Q S R T P

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

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

Answer: R faces E.

Question 4

Two parallel rows of chairs. Row 1 has C, B, D, A and E facing South. Row 2 has S, T, P, R and Q 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. S faces D. C sits at an extreme end of Row 1. B sits second to the right of C. T 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 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
- C sits at an extreme end: pos 1 or pos 5
- B sits second to the RIGHT of C (south-facing → lower position):
pos[B] = pos[C] - 2
If C at pos 1 → pos[B] = -1 (invalid ✗)
If C at pos 5 → pos[B] = 3 ✓ (pos 3 is free)
∴ C at pos 5, B at pos 3 ✓

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

Step 3: Place Row 2 persons
- S faces D (pos 4) → S at Row 2, pos 4
- T sits second to the LEFT of S (north-facing → lower position):
pos[T] = pos[S] - 2 = 2 → T 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,R,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) ✓
R fills pos 3 ✓

Row 2: Q T R S P

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

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

Answer: R faces B.

Question 5

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

Row 1: _ _ B A D
Remaining C,E 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 ✓
- S sits at extreme end of Row 2: pos 1 or pos 5
- P is NOT adjacent to Q (pos 4): adjacent = pos 3 and pos 5
So P ≠ pos 3 and P ≠ pos 5
Remaining positions for S,R,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) ✓
R fills pos 3 ✓

Row 2: P T R Q S

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

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

Answer: R faces B.

Question 6

Two parallel rows of chairs. Row 1 has C, E, B, D and A facing South. Row 2 has R, Q, S, P 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. C sits at an extreme end of Row 1. E sits second to the right of C. Q 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 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
- 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
- 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 B C
Remaining D,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
- Q sits second to the LEFT of R (north-facing → lower position):
pos[Q] = pos[R] - 2 = 2 → Q 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,P,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) ✓
P fills pos 3 ✓

Row 2: T Q P R S

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

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

Answer: P faces E.

Question 7

Two parallel rows of chairs. Row 1 has A, C, D, B and E facing South. Row 2 has T, Q, S, P 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. T faces D. A sits at an extreme end of Row 1. C sits second to the right of A. Q 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 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
- A sits at an extreme end: pos 1 or pos 5
- C sits second to the RIGHT of A (south-facing → lower position):
pos[C] = pos[A] - 2
If A at pos 1 → pos[C] = -1 (invalid ✗)
If A at pos 5 → pos[C] = 3 ✓ (pos 3 is free)
∴ A at pos 5, C at pos 3 ✓

Row 1: _ _ C D A
Remaining B,E 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
- Q sits second to the LEFT of T (north-facing → lower position):
pos[Q] = pos[T] - 2 = 2 → Q 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,P,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) ✓
P fills pos 3 ✓

Row 2: R Q P T S

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

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

Answer: P faces C.

Question 8

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

Row 1: _ _ C B A
Remaining E,D 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 ✓
- R 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 R,S,P: pos 1, pos 3, pos 5
P not at pos 3 or pos 5 → P at pos 1
R at extreme → pos 5 (since pos 1 is P) ✓
S fills pos 3 ✓

Row 2: P Q S T R

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

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

Answer: S faces C.

Question 9

Two parallel rows of chairs. Row 1 has C, D, E, A and B facing South. Row 2 has S, P, T, 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. S faces E. C sits at an extreme end of Row 1. D sits second to the right of C. P sits second to the left of S. T sits at an extreme end of Row 2. R 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
- E 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 E C
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
- P sits second to the LEFT of S (north-facing → lower position):
pos[P] = pos[S] - 2 = 2 → P at Row 2 pos 2 ✓
- T 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 T,Q,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) ✓
Q fills pos 3 ✓

Row 2: R P Q S T

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

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

Answer: Q faces D.

Question 10

Two parallel rows of chairs. Row 1 has A, E, D, C and B facing South. Row 2 has Q, S, T, P 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. Q faces D. A sits at an extreme end of Row 1. E sits second to the right of A. S sits second to the left of Q. T sits at an extreme end of Row 2. R 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
- 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
- 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 D A
Remaining C,B at pos 1 and 2 (either order — pinned next).

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

Row 2: R S P Q T

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

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

Answer: P faces E.

Question 11

Two parallel rows of chairs. Row 1 has C, B, A, E and D 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. C sits at an extreme end of Row 1. B sits second to the right of C. 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 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
- 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
- B sits second to the RIGHT of C (south-facing → lower position):
pos[B] = pos[C] - 2
If C at pos 1 → pos[B] = -1 (invalid ✗)
If C at pos 5 → pos[B] = 3 ✓ (pos 3 is free)
∴ C at pos 5, B at pos 3 ✓

Row 1: _ _ B A C
Remaining E,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
- 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 (↓): E/D E/D B A C
Row 2 (↑): T Q S R P

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

Answer: S faces B.

Question 12

Two parallel rows of chairs. Row 1 has D, A, B, E and C facing South. Row 2 has S, Q, T, P 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. S faces B. D sits at an extreme end of Row 1. A sits second to the right of D. Q sits second to the left of S. T sits at an extreme end of Row 2. R 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
- 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
- S faces B (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 ✓
- T 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 T,P,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) ✓
P fills pos 3 ✓

Row 2: R Q P S T

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

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

Answer: P faces A.

Question 13

Two parallel rows of chairs. Row 1 has C, E, D, B and A facing South. Row 2 has T, S, P, R and Q 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. C sits at an extreme end of Row 1. E sits second to the right of C. S sits second to the left of T. P sits at an extreme end of Row 2. Q 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
- 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 D C
Remaining B,A 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
- S sits second to the LEFT of T (north-facing → lower position):
pos[S] = pos[T] - 2 = 2 → S at Row 2 pos 2 ✓
- P sits at extreme end of Row 2: pos 1 or pos 5
- Q is NOT adjacent to T (pos 4): adjacent = pos 3 and pos 5
So Q ≠ pos 3 and Q ≠ pos 5
Remaining positions for P,R,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) ✓
R fills pos 3 ✓

Row 2: Q S R T P

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

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

Answer: R faces E.

Question 14

Two parallel rows of chairs. Row 1 has E, A, C, D and B facing South. Row 2 has Q, P, T, S and R 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. Q faces C. E sits at an extreme end of Row 1. A sits second to the right of E. P sits second to the left of Q. T sits at an extreme end of Row 2. R is not adjacent to Q 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
- C 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 C E
Remaining D,B at pos 1 and 2 (either order — pinned next).

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

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

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

Answer: S faces A.

Question 15

Two parallel rows of chairs. Row 1 has C, E, A, D and B facing South. Row 2 has P, T, S, Q and R 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. P 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 P. S sits at an extreme end of Row 2. R is not adjacent to P 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
- P faces A (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 ✓
- S 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 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 T Q P S

Final Arrangement:
Position: 1 2 3 4 5
Row 1 (↓): D/B D/B E A C
Row 2 (↑): R T Q P 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 C, D, E, B 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. E sits fourth from the left end of Row 1. T faces E. 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
- E 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 E C
Remaining B,A 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 (↓): B/A B/A D E 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 17

Two parallel rows of chairs. Row 1 has B, E, A, D and C 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. A sits fourth from the left end of Row 1. S 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 S. P sits at an extreme end of Row 2. R 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
- 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 D,C 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
- 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 (↓): D/C D/C E A B
Row 2 (↑): R Q T S P

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

Answer: T faces E.

Question 18

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

Row 1: _ _ B C E
Remaining A,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
- Q is NOT adjacent to T (pos 4): adjacent = pos 3 and pos 5
So Q ≠ pos 3 and Q ≠ pos 5
Remaining positions for S,P,Q: pos 1, pos 3, pos 5
Q not at pos 3 or pos 5 → Q at pos 1
S at extreme → pos 5 (since pos 1 is Q) ✓
P fills pos 3 ✓

Row 2: Q R P T S

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

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

Answer: P faces B.

Question 19

Two parallel rows of chairs. Row 1 has A, E, B, C and D facing South. Row 2 has P, Q, R, S 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. P faces B. A sits at an extreme end of Row 1. E sits second to the right of A. Q sits second to the left of P. R sits at an extreme end of Row 2. T is not adjacent to P 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
- B 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 B A
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 ✓
- R sits at extreme end of Row 2: pos 1 or pos 5
- T is NOT adjacent to P (pos 4): adjacent = pos 3 and pos 5
So T ≠ pos 3 and T ≠ pos 5
Remaining positions for R,S,T: pos 1, pos 3, pos 5
T not at pos 3 or pos 5 → T at pos 1
R at extreme → pos 5 (since pos 1 is T) ✓
S fills pos 3 ✓

Row 2: T Q S P R

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

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

Answer: S faces E.

Question 20

Two parallel rows of chairs. Row 1 has D, B, E, A and C 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. E sits fourth from the left end of Row 1. R faces E. D sits at an extreme end of Row 1. B sits second to the right of D. 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 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
- 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
- B sits second to the RIGHT of D (south-facing → lower position):
pos[B] = pos[D] - 2
If D at pos 1 → pos[B] = -1 (invalid ✗)
If D at pos 5 → pos[B] = 3 ✓ (pos 3 is free)
∴ D at pos 5, B at pos 3 ✓

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

Step 3: Place Row 2 persons
- R faces E (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 (↓): A/C A/C B E D
Row 2 (↑): T Q S R P

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

Answer: S faces B.

📝 Continue your Double Row Facing Each Other practice. Worksheet 5 focuses on tricky scenarios handling.

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