Linear Single Row South Facing - Absolute-Beginner Level: core concept mastery Linear Single Row South Facing ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Linear Single Row South Facing - a key topic in Seating Arrangement. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master linear single row south facing problems, linear single row south facing reasoning questions, and linear single row south facing practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:

Master linear single row south facing problems through focused practice
Understand the logic behind linear single row south facing reasoning questions
Learn step-by-step approaches to core concept mastery
Start with the absolute basics - no prior knowledge needed
Learn fundamental concepts with simple examples

Your progress through Linear Single Row South Facing

Worksheet 1 of 10 (0% complete)

Question 1

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

Position: R _ T S Q

Step 4: Apply constraint
- P not adjacent to Q (pos 5): P ≠ pos 4 (taken by S) → P at pos 2 ✓

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

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

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

Question 2

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

Position: P _ S R Q

Step 4: Apply constraint
- T not adjacent to Q (pos 5): T ≠ pos 4 (taken by R) → T at pos 2 ✓

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

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

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

Question 3

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

Position: Q _ S P R

Step 4: Apply constraint
- T not adjacent to R (pos 5): T ≠ pos 4 (taken by P) → T at pos 2 ✓

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

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

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

Question 4

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

Position: R _ T Q S

Step 4: Apply constraint
- P not adjacent to S (pos 5): P ≠ pos 4 (taken by Q) → P at pos 2 ✓

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

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

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

Question 5

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

Solution Approach:

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

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

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

Position: R _ Q S T

Step 4: Apply constraint
- P not adjacent to T (pos 5): P ≠ pos 4 (taken by S) → P at pos 2 ✓

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

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

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

Question 6

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

Solution Approach:

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

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

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

Position: P _ Q S T

Step 4: Apply constraint
- R not adjacent to T (pos 5): R ≠ pos 4 (taken by S) → R at pos 2 ✓

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

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

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

Question 7

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

Position: Q _ P R S

Step 4: Apply constraint
- T not adjacent to S (pos 5): T ≠ pos 4 (taken by R) → T at pos 2 ✓

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

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

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

Question 8

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

Position: Q _ T P R

Step 4: Apply constraint
- S not adjacent to R (pos 5): S ≠ pos 4 (taken by P) → S at pos 2 ✓

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

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

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

Question 9

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

Position: P _ S T R

Step 4: Apply constraint
- Q not adjacent to R (pos 5): Q ≠ pos 4 (taken by T) → Q at pos 2 ✓

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

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

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

Question 10

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "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 → Position 5
- P sits second to the right of S:
South-facing right = viewer's left = lower position: pos[P] = pos[S] - 2
Possible: S=3→P=1, or S=4→P=2
- T sits immediately to the right of S (viewer's right = higher pos): pos[T] = pos[S] + 1
If S=3 → T=4 ✓ (pos 4 free)
If S=4 → T=5 = R ✗ (conflict)
∴ S=3, P=1, T=4

Position: P _ S T R

Step 4: Apply constraint
- Q not adjacent to R (pos 5): Q ≠ pos 4 (taken by T) → Q at pos 2 ✓

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

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

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

Question 11

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

Position: T _ Q R P

Step 4: Apply constraint
- S not adjacent to P (pos 5): S ≠ pos 4 (taken by R) → S at pos 2 ✓

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

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

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

Question 12

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

Position: S _ R P Q

Step 4: Apply constraint
- T not adjacent to Q (pos 5): T ≠ pos 4 (taken by P) → T at pos 2 ✓

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

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

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

Question 13

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

Position: R _ Q S P

Step 4: Apply constraint
- T not adjacent to P (pos 5): T ≠ pos 4 (taken by S) → T at pos 2 ✓

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

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

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

Question 14

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

Solution Approach:

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

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

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

Position: S _ Q P T

Step 4: Apply constraint
- R not adjacent to T (pos 5): R ≠ pos 4 (taken by P) → R at pos 2 ✓

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

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

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

Question 15

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

Position: T _ S Q R

Step 4: Apply constraint
- P not adjacent to R (pos 5): P ≠ pos 4 (taken by Q) → P at pos 2 ✓

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

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

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

Question 16

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

Position: T _ Q S P

Step 4: Apply constraint
- R not adjacent to P (pos 5): R ≠ pos 4 (taken by S) → R at pos 2 ✓

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

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

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

Question 17

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

Position: R _ T P S

Step 4: Apply constraint
- Q not adjacent to S (pos 5): Q ≠ pos 4 (taken by P) → Q at pos 2 ✓

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

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

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

Question 18

Solution Approach:

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

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

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

Position: S _ Q P T

Step 4: Apply constraint
- R not adjacent to T (pos 5): R ≠ pos 4 (taken by P) → R at pos 2 ✓

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

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

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

Question 19

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

Position: P _ T Q R

Step 4: Apply constraint
- S not adjacent to R (pos 5): S ≠ pos 4 (taken by Q) → S at pos 2 ✓

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

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

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

Question 20

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

Position: P _ R Q S

Step 4: Apply constraint
- T not adjacent to S (pos 5): T ≠ pos 4 (taken by Q) → T at pos 2 ✓

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

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

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

🌟 Start your Linear Single Row South Facing journey here! Build strong foundations with this beginner worksheet.

Next Worksheet