Three Parallel Rows - Intermediate Level: tricky scenarios handling Three Parallel Rows INTERMEDIATE

This expert challenge 📈 worksheet focuses on Three Parallel Rows - 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 three parallel rows, three parallel rows tricks, and three parallel rows shortcut methods through systematic practice.

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

What you'll learn in this worksheet:
Your progress through Three Parallel Rows
Worksheet 5 of 10 (44% complete)

Question 1

Three parallel rows of chairs. Row 1 has D, C, A, B facing South. Row 2 has R, Q, P, S facing North. Row 3 has W, X, Y, Z facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces R who faces W. C sits to the left of D in Row 1. Q faces C and also faces X. P sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces R who faces W: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ R _ _
Row3: _ W _ _

Step 3: Apply left-right conditions
- C sits to the left of D(pos 2) in Row 1 → C at position 1
Row1: C D _ _

Step 4: Second facing relationship
- Q faces C(Row1 pos1) → Q at Row2 position 1
- Q faces X → X at Row3 position 1
Row1: C D _ _
Row2: Q R _ _
Row3: X W _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of Q(pos1): 1+2=3 → P at Row2 position 3
Row2: Q R P _
P faces Row1 pos3 → A at Row1 pos3 ✓
P faces Row3 pos3 → Y at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=S, Row3 pos4=Z

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): C D A B
Row 2 (↑): Q R P S
Row 3 (↓): X W Y Z

Right extreme of Row 3 = position 4 = Z

Answer: Z

Question 2

Three parallel rows of chairs. Row 1 has A, B, C, D facing South. Row 2 has Q, R, P, S facing North. Row 3 has Y, Z, W, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. A faces Q who faces Y. B sits to the left of A in Row 1. R faces B and also faces Z. P sits second to the right of R in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces Q who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ Q _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- B sits to the left of A(pos 2) in Row 1 → B at position 1
Row1: B A _ _

Step 4: Second facing relationship
- R faces B(Row1 pos1) → R at Row2 position 1
- R faces Z → Z at Row3 position 1
Row1: B A _ _
Row2: R Q _ _
Row3: Z Y _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of R(pos1): 1+2=3 → P at Row2 position 3
Row2: R Q P _
P faces Row1 pos3 → C at Row1 pos3 ✓
P faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=S, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B A C D
Row 2 (↑): R Q P S
Row 3 (↓): Z Y W X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 3

Three parallel rows of chairs. Row 1 has D, B, C, A facing South. Row 2 has S, R, P, Q facing North. Row 3 has Y, Z, W, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces S who faces Y. B sits to the left of D in Row 1. R faces B and also faces Z. P sits second to the right of R in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces S who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ S _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- B sits to the left of D(pos 2) in Row 1 → B at position 1
Row1: B D _ _

Step 4: Second facing relationship
- R faces B(Row1 pos1) → R at Row2 position 1
- R faces Z → Z at Row3 position 1
Row1: B D _ _
Row2: R S _ _
Row3: Z Y _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of R(pos1): 1+2=3 → P at Row2 position 3
Row2: R S P _
P faces Row1 pos3 → C at Row1 pos3 ✓
P faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=A, Row2 pos4=Q, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B D C A
Row 2 (↑): R S P Q
Row 3 (↓): Z Y W X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 4

Three parallel rows of chairs. Row 1 has D, B, C, A facing South. Row 2 has R, P, S, Q facing North. Row 3 has Y, W, X, Z facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces R who faces Y. B sits to the left of D in Row 1. P faces B and also faces W. S sits second to the right of P in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces R who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ R _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- B sits to the left of D(pos 2) in Row 1 → B at position 1
Row1: B D _ _

Step 4: Second facing relationship
- P faces B(Row1 pos1) → P at Row2 position 1
- P faces W → W at Row3 position 1
Row1: B D _ _
Row2: P R _ _
Row3: W Y _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of P(pos1): 1+2=3 → S at Row2 position 3
Row2: P R S _
S faces Row1 pos3 → C at Row1 pos3 ✓
S faces Row3 pos3 → X at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=A, Row2 pos4=Q, Row3 pos4=Z

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B D C A
Row 2 (↑): P R S Q
Row 3 (↓): W Y X Z

Right extreme of Row 3 = position 4 = Z

Answer: Z

Question 5

Three parallel rows of chairs. Row 1 has D, B, C, A facing South. Row 2 has Q, R, P, S facing North. Row 3 has Y, W, Z, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces Q who faces Y. B sits to the left of D in Row 1. R faces B and also faces W. P sits second to the right of R in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces Q who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ Q _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- B sits to the left of D(pos 2) in Row 1 → B at position 1
Row1: B D _ _

Step 4: Second facing relationship
- R faces B(Row1 pos1) → R at Row2 position 1
- R faces W → W at Row3 position 1
Row1: B D _ _
Row2: R Q _ _
Row3: W Y _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of R(pos1): 1+2=3 → P at Row2 position 3
Row2: R Q P _
P faces Row1 pos3 → C at Row1 pos3 ✓
P faces Row3 pos3 → Z at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=A, Row2 pos4=S, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B D C A
Row 2 (↑): R Q P S
Row 3 (↓): W Y Z X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 6

Three parallel rows of chairs. Row 1 has C, B, A, D facing South. Row 2 has S, R, P, Q facing North. Row 3 has Y, Z, W, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. C faces S who faces Y. B sits to the left of C in Row 1. R faces B and also faces Z. P sits second to the right of R in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- C faces S who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ C _ _
Row2: _ S _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- B sits to the left of C(pos 2) in Row 1 → B at position 1
Row1: B C _ _

Step 4: Second facing relationship
- R faces B(Row1 pos1) → R at Row2 position 1
- R faces Z → Z at Row3 position 1
Row1: B C _ _
Row2: R S _ _
Row3: Z Y _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of R(pos1): 1+2=3 → P at Row2 position 3
Row2: R S P _
P faces Row1 pos3 → A at Row1 pos3 ✓
P faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=Q, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B C A D
Row 2 (↑): R S P Q
Row 3 (↓): Z Y W X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 7

Three parallel rows of chairs. Row 1 has A, B, C, D facing South. Row 2 has P, Q, S, R facing North. Row 3 has Z, W, Y, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. A faces P who faces Z. B sits to the left of A in Row 1. Q faces B and also faces W. S sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces P who faces Z: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ P _ _
Row3: _ Z _ _

Step 3: Apply left-right conditions
- B sits to the left of A(pos 2) in Row 1 → B at position 1
Row1: B A _ _

Step 4: Second facing relationship
- Q faces B(Row1 pos1) → Q at Row2 position 1
- Q faces W → W at Row3 position 1
Row1: B A _ _
Row2: Q P _ _
Row3: W Z _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of Q(pos1): 1+2=3 → S at Row2 position 3
Row2: Q P S _
S faces Row1 pos3 → C at Row1 pos3 ✓
S faces Row3 pos3 → Y at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=R, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B A C D
Row 2 (↑): Q P S R
Row 3 (↓): W Z Y X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 8

Three parallel rows of chairs. Row 1 has D, B, A, C facing South. Row 2 has P, S, Q, R facing North. Row 3 has X, W, Z, Y facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces P who faces X. B sits to the left of D in Row 1. S faces B and also faces W. Q sits second to the right of S in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces P who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ P _ _
Row3: _ X _ _

Step 3: Apply left-right conditions
- B sits to the left of D(pos 2) in Row 1 → B at position 1
Row1: B D _ _

Step 4: Second facing relationship
- S faces B(Row1 pos1) → S at Row2 position 1
- S faces W → W at Row3 position 1
Row1: B D _ _
Row2: S P _ _
Row3: W X _ _

Step 5: Apply relative positioning in Row 2
- Q sits second to the right of S(pos1): 1+2=3 → Q at Row2 position 3
Row2: S P Q _
Q faces Row1 pos3 → A at Row1 pos3 ✓
Q faces Row3 pos3 → Z at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=C, Row2 pos4=R, Row3 pos4=Y

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B D A C
Row 2 (↑): S P Q R
Row 3 (↓): W X Z Y

Right extreme of Row 3 = position 4 = Y

Answer: Y

Question 9

Three parallel rows of chairs. Row 1 has C, D, A, B facing South. Row 2 has P, Q, S, R facing North. Row 3 has Y, X, W, Z facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. C faces P who faces Y. D sits to the left of C in Row 1. Q faces D and also faces X. S sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- C faces P who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ C _ _
Row2: _ P _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- D sits to the left of C(pos 2) in Row 1 → D at position 1
Row1: D C _ _

Step 4: Second facing relationship
- Q faces D(Row1 pos1) → Q at Row2 position 1
- Q faces X → X at Row3 position 1
Row1: D C _ _
Row2: Q P _ _
Row3: X Y _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of Q(pos1): 1+2=3 → S at Row2 position 3
Row2: Q P S _
S faces Row1 pos3 → A at Row1 pos3 ✓
S faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=R, Row3 pos4=Z

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): D C A B
Row 2 (↑): Q P S R
Row 3 (↓): X Y W Z

Right extreme of Row 3 = position 4 = Z

Answer: Z

Question 10

Three parallel rows of chairs. Row 1 has B, C, D, A facing South. Row 2 has R, P, S, Q facing North. Row 3 has W, Z, Y, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. B faces R who faces W. C sits to the left of B in Row 1. P faces C and also faces Z. S sits second to the right of P in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- B faces R who faces W: all three in the SAME vertical column.
Place at position 2:
Row1: _ B _ _
Row2: _ R _ _
Row3: _ W _ _

Step 3: Apply left-right conditions
- C sits to the left of B(pos 2) in Row 1 → C at position 1
Row1: C B _ _

Step 4: Second facing relationship
- P faces C(Row1 pos1) → P at Row2 position 1
- P faces Z → Z at Row3 position 1
Row1: C B _ _
Row2: P R _ _
Row3: Z W _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of P(pos1): 1+2=3 → S at Row2 position 3
Row2: P R S _
S faces Row1 pos3 → D at Row1 pos3 ✓
S faces Row3 pos3 → Y at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=A, Row2 pos4=Q, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): C B D A
Row 2 (↑): P R S Q
Row 3 (↓): Z W Y X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 11

Three parallel rows of chairs. Row 1 has D, A, B, C facing South. Row 2 has Q, P, S, R facing North. Row 3 has Z, W, Y, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces Q who faces Z. A sits to the left of D in Row 1. P faces A and also faces W. S sits second to the right of P in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces Q who faces Z: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ Q _ _
Row3: _ Z _ _

Step 3: Apply left-right conditions
- A sits to the left of D(pos 2) in Row 1 → A at position 1
Row1: A D _ _

Step 4: Second facing relationship
- P faces A(Row1 pos1) → P at Row2 position 1
- P faces W → W at Row3 position 1
Row1: A D _ _
Row2: P Q _ _
Row3: W Z _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of P(pos1): 1+2=3 → S at Row2 position 3
Row2: P Q S _
S faces Row1 pos3 → B at Row1 pos3 ✓
S faces Row3 pos3 → Y at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=C, Row2 pos4=R, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): A D B C
Row 2 (↑): P Q S R
Row 3 (↓): W Z Y X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 12

Three parallel rows of chairs. Row 1 has A, C, D, B facing South. Row 2 has R, S, Q, P facing North. Row 3 has X, Z, W, Y facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. A faces R who faces X. C sits to the left of A in Row 1. S faces C and also faces Z. Q sits second to the right of S in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces R who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ R _ _
Row3: _ X _ _

Step 3: Apply left-right conditions
- C sits to the left of A(pos 2) in Row 1 → C at position 1
Row1: C A _ _

Step 4: Second facing relationship
- S faces C(Row1 pos1) → S at Row2 position 1
- S faces Z → Z at Row3 position 1
Row1: C A _ _
Row2: S R _ _
Row3: Z X _ _

Step 5: Apply relative positioning in Row 2
- Q sits second to the right of S(pos1): 1+2=3 → Q at Row2 position 3
Row2: S R Q _
Q faces Row1 pos3 → D at Row1 pos3 ✓
Q faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=P, Row3 pos4=Y

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): C A D B
Row 2 (↑): S R Q P
Row 3 (↓): Z X W Y

Right extreme of Row 3 = position 4 = Y

Answer: Y

Question 13

Three parallel rows of chairs. Row 1 has A, B, D, C facing South. Row 2 has R, Q, S, P facing North. Row 3 has Y, W, Z, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. A faces R who faces Y. B sits to the left of A in Row 1. Q faces B and also faces W. S sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces R who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ R _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- B sits to the left of A(pos 2) in Row 1 → B at position 1
Row1: B A _ _

Step 4: Second facing relationship
- Q faces B(Row1 pos1) → Q at Row2 position 1
- Q faces W → W at Row3 position 1
Row1: B A _ _
Row2: Q R _ _
Row3: W Y _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of Q(pos1): 1+2=3 → S at Row2 position 3
Row2: Q R S _
S faces Row1 pos3 → D at Row1 pos3 ✓
S faces Row3 pos3 → Z at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=C, Row2 pos4=P, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B A D C
Row 2 (↑): Q R S P
Row 3 (↓): W Y Z X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 14

Three parallel rows of chairs. Row 1 has B, A, D, C facing South. Row 2 has P, R, S, Q facing North. Row 3 has Y, W, X, Z facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. B faces P who faces Y. A sits to the left of B in Row 1. R faces A and also faces W. S sits second to the right of R in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- B faces P who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ B _ _
Row2: _ P _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- A sits to the left of B(pos 2) in Row 1 → A at position 1
Row1: A B _ _

Step 4: Second facing relationship
- R faces A(Row1 pos1) → R at Row2 position 1
- R faces W → W at Row3 position 1
Row1: A B _ _
Row2: R P _ _
Row3: W Y _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of R(pos1): 1+2=3 → S at Row2 position 3
Row2: R P S _
S faces Row1 pos3 → D at Row1 pos3 ✓
S faces Row3 pos3 → X at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=C, Row2 pos4=Q, Row3 pos4=Z

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): A B D C
Row 2 (↑): R P S Q
Row 3 (↓): W Y X Z

Right extreme of Row 3 = position 4 = Z

Answer: Z

Question 15

Three parallel rows of chairs. Row 1 has B, A, C, D facing South. Row 2 has Q, S, R, P facing North. Row 3 has X, Y, W, Z facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. B faces Q who faces X. A sits to the left of B in Row 1. S faces A and also faces Y. R sits second to the right of S in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- B faces Q who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ B _ _
Row2: _ Q _ _
Row3: _ X _ _

Step 3: Apply left-right conditions
- A sits to the left of B(pos 2) in Row 1 → A at position 1
Row1: A B _ _

Step 4: Second facing relationship
- S faces A(Row1 pos1) → S at Row2 position 1
- S faces Y → Y at Row3 position 1
Row1: A B _ _
Row2: S Q _ _
Row3: Y X _ _

Step 5: Apply relative positioning in Row 2
- R sits second to the right of S(pos1): 1+2=3 → R at Row2 position 3
Row2: S Q R _
R faces Row1 pos3 → C at Row1 pos3 ✓
R faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=P, Row3 pos4=Z

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): A B C D
Row 2 (↑): S Q R P
Row 3 (↓): Y X W Z

Right extreme of Row 3 = position 4 = Z

Answer: Z

Question 16

Three parallel rows of chairs. Row 1 has B, C, A, D facing South. Row 2 has P, Q, S, R facing North. Row 3 has W, Z, Y, X facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. B faces P who faces W. C sits to the left of B in Row 1. Q faces C and also faces Z. S sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- B faces P who faces W: all three in the SAME vertical column.
Place at position 2:
Row1: _ B _ _
Row2: _ P _ _
Row3: _ W _ _

Step 3: Apply left-right conditions
- C sits to the left of B(pos 2) in Row 1 → C at position 1
Row1: C B _ _

Step 4: Second facing relationship
- Q faces C(Row1 pos1) → Q at Row2 position 1
- Q faces Z → Z at Row3 position 1
Row1: C B _ _
Row2: Q P _ _
Row3: Z W _ _

Step 5: Apply relative positioning in Row 2
- S sits second to the right of Q(pos1): 1+2=3 → S at Row2 position 3
Row2: Q P S _
S faces Row1 pos3 → A at Row1 pos3 ✓
S faces Row3 pos3 → Y at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=R, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): C B A D
Row 2 (↑): Q P S R
Row 3 (↓): Z W Y X

Right extreme of Row 3 = position 4 = X

Answer: X

Question 17

Three parallel rows of chairs. Row 1 has C, D, A, B facing South. Row 2 has S, R, P, Q facing North. Row 3 has X, Y, Z, W facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. C faces S who faces X. D sits to the left of C in Row 1. R faces D and also faces Y. P sits second to the right of R in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- C faces S who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ C _ _
Row2: _ S _ _
Row3: _ X _ _

Step 3: Apply left-right conditions
- D sits to the left of C(pos 2) in Row 1 → D at position 1
Row1: D C _ _

Step 4: Second facing relationship
- R faces D(Row1 pos1) → R at Row2 position 1
- R faces Y → Y at Row3 position 1
Row1: D C _ _
Row2: R S _ _
Row3: Y X _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of R(pos1): 1+2=3 → P at Row2 position 3
Row2: R S P _
P faces Row1 pos3 → A at Row1 pos3 ✓
P faces Row3 pos3 → Z at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=Q, Row3 pos4=W

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): D C A B
Row 2 (↑): R S P Q
Row 3 (↓): Y X Z W

Right extreme of Row 3 = position 4 = W

Answer: W

Question 18

Three parallel rows of chairs. Row 1 has C, B, A, D facing South. Row 2 has R, Q, P, S facing North. Row 3 has X, Y, W, Z facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. C faces R who faces X. B sits to the left of C in Row 1. Q faces B and also faces Y. P sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- C faces R who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ C _ _
Row2: _ R _ _
Row3: _ X _ _

Step 3: Apply left-right conditions
- B sits to the left of C(pos 2) in Row 1 → B at position 1
Row1: B C _ _

Step 4: Second facing relationship
- Q faces B(Row1 pos1) → Q at Row2 position 1
- Q faces Y → Y at Row3 position 1
Row1: B C _ _
Row2: Q R _ _
Row3: Y X _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of Q(pos1): 1+2=3 → P at Row2 position 3
Row2: Q R P _
P faces Row1 pos3 → A at Row1 pos3 ✓
P faces Row3 pos3 → W at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=S, Row3 pos4=Z

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B C A D
Row 2 (↑): Q R P S
Row 3 (↓): Y X W Z

Right extreme of Row 3 = position 4 = Z

Answer: Z

Question 19

Three parallel rows of chairs. Row 1 has D, C, A, B facing South. Row 2 has R, Q, P, S facing North. Row 3 has Z, Y, X, W facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. D faces R who faces Z. C sits to the left of D in Row 1. Q faces C and also faces Y. P sits second to the right of Q in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- D faces R who faces Z: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ R _ _
Row3: _ Z _ _

Step 3: Apply left-right conditions
- C sits to the left of D(pos 2) in Row 1 → C at position 1
Row1: C D _ _

Step 4: Second facing relationship
- Q faces C(Row1 pos1) → Q at Row2 position 1
- Q faces Y → Y at Row3 position 1
Row1: C D _ _
Row2: Q R _ _
Row3: Y Z _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of Q(pos1): 1+2=3 → P at Row2 position 3
Row2: Q R P _
P faces Row1 pos3 → A at Row1 pos3 ✓
P faces Row3 pos3 → X at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=S, Row3 pos4=W

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): C D A B
Row 2 (↑): Q R P S
Row 3 (↓): Y Z X W

Right extreme of Row 3 = position 4 = W

Answer: W

Question 20

Three parallel rows of chairs. Row 1 has A, B, C, D facing South. Row 2 has P, S, Q, R facing North. Row 3 has X, W, Z, Y facing South. Row 2 is between Row 1 and Row 3. Persons in Row 1 face persons in Row 2, and persons in Row 2 face persons in Row 3. A faces P who faces X. B sits to the left of A in Row 1. S faces B and also faces W. Q sits second to the right of S in Row 2. Who sits at the right extreme of Row 3?
Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces P who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ P _ _
Row3: _ X _ _

Step 3: Apply left-right conditions
- B sits to the left of A(pos 2) in Row 1 → B at position 1
Row1: B A _ _

Step 4: Second facing relationship
- S faces B(Row1 pos1) → S at Row2 position 1
- S faces W → W at Row3 position 1
Row1: B A _ _
Row2: S P _ _
Row3: W X _ _

Step 5: Apply relative positioning in Row 2
- Q sits second to the right of S(pos1): 1+2=3 → Q at Row2 position 3
Row2: S P Q _
Q faces Row1 pos3 → C at Row1 pos3 ✓
Q faces Row3 pos3 → Z at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=D, Row2 pos4=R, Row3 pos4=Y

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): B A C D
Row 2 (↑): S P Q R
Row 3 (↓): W X Z Y

Right extreme of Row 3 = position 4 = Y

Answer: Y
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