Linear Mixed Facing Directions | Worksheet 5/10

Question 1

Six persons S, U, P, T, Q and R are sitting in a row. Some are facing North and some are facing South. S sits third from the left end facing North. U sits second to the right of S and faces opposite direction. P sits at the left extreme end facing South. T sits immediately to the left of U facing North. R sits at the right extreme end. Who sits between P and S?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- S sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ S(↑) _ _ _

Step 3: Apply relative positioning
- U sits second to the right of S (pos 3) → Position 5
- U faces opposite direction to S (North) → U faces South (↓)
- T sits immediately to the left of U (pos 5) facing North (↑) → Position 4

Position: P(↓) _ S(↑) T(↑) U(↓) _

Step 4: Fill remaining positions
Remaining persons: Q, R
Position 2 gets Q, Position 6 gets R

Final Arrangement:
Pos: P(↓) Q(↑) S(↑) T(↑) U(↓) R(↑)

Verification:
✓ S at pos 3, facing North
✓ U at pos 5 (second right of S), facing South (opposite of S)
✓ P at pos 1 (left extreme), facing South
✓ T at pos 4 (immediately left of U), facing North

Person between P (pos 1) and S (pos 3): pos 2 = Q

Answer: Q sits between P and S.

Question 2

Six persons U, P, S, Q, T and R are sitting in a row. Some are facing North and some are facing South. U sits third from the left end facing North. P sits second to the right of U and faces opposite direction. S sits at the left extreme end facing South. Q sits immediately to the left of P facing North. R sits at the right extreme end. Who sits between S and U?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- U sits third from the left end facing North (↑) → Position 3
- S sits at the left extreme end facing South (↓) → Position 1

Position: S(↓) _ U(↑) _ _ _

Step 3: Apply relative positioning
- P sits second to the right of U (pos 3) → Position 5
- P faces opposite direction to U (North) → P faces South (↓)
- Q sits immediately to the left of P (pos 5) facing North (↑) → Position 4

Position: S(↓) _ U(↑) Q(↑) P(↓) _

Step 4: Fill remaining positions
Remaining persons: T, R
Position 2 gets T, Position 6 gets R

Final Arrangement:
Pos: S(↓) T(↑) U(↑) Q(↑) P(↓) R(↑)

Verification:
✓ U at pos 3, facing North
✓ P at pos 5 (second right of U), facing South (opposite of U)
✓ S at pos 1 (left extreme), facing South
✓ Q at pos 4 (immediately left of P), facing North

Person between S (pos 1) and U (pos 3): pos 2 = T

Answer: T sits between S and U.

Question 3

Six persons U, R, P, Q, T and S are sitting in a row. Some are facing North and some are facing South. U sits third from the left end facing North. R sits second to the right of U and faces opposite direction. P sits at the left extreme end facing South. Q sits immediately to the left of R facing North. S sits at the right extreme end. Who sits between P and U?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- U sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ U(↑) _ _ _

Step 3: Apply relative positioning
- R sits second to the right of U (pos 3) → Position 5
- R faces opposite direction to U (North) → R faces South (↓)
- Q sits immediately to the left of R (pos 5) facing North (↑) → Position 4

Position: P(↓) _ U(↑) Q(↑) R(↓) _

Step 4: Fill remaining positions
Remaining persons: T, S
Position 2 gets T, Position 6 gets S

Final Arrangement:
Pos: P(↓) T(↑) U(↑) Q(↑) R(↓) S(↑)

Verification:
✓ U at pos 3, facing North
✓ R at pos 5 (second right of U), facing South (opposite of U)
✓ P at pos 1 (left extreme), facing South
✓ Q at pos 4 (immediately left of R), facing North

Person between P (pos 1) and U (pos 3): pos 2 = T

Answer: T sits between P and U.

Question 4

Six persons T, U, P, Q, R and S are sitting in a row. Some are facing North and some are facing South. T sits third from the left end facing North. U sits second to the right of T and faces opposite direction. P sits at the left extreme end facing South. Q sits immediately to the left of U facing North. S sits at the right extreme end. Who sits between P and T?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- T sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ T(↑) _ _ _

Step 3: Apply relative positioning
- U sits second to the right of T (pos 3) → Position 5
- U faces opposite direction to T (North) → U faces South (↓)
- Q sits immediately to the left of U (pos 5) facing North (↑) → Position 4

Position: P(↓) _ T(↑) Q(↑) U(↓) _

Step 4: Fill remaining positions
Remaining persons: R, S
Position 2 gets R, Position 6 gets S

Final Arrangement:
Pos: P(↓) R(↑) T(↑) Q(↑) U(↓) S(↑)

Verification:
✓ T at pos 3, facing North
✓ U at pos 5 (second right of T), facing South (opposite of T)
✓ P at pos 1 (left extreme), facing South
✓ Q at pos 4 (immediately left of U), facing North

Person between P (pos 1) and T (pos 3): pos 2 = R

Answer: R sits between P and T.

Question 5

Six persons U, Q, P, R, S and T are sitting in a row. Some are facing North and some are facing South. U sits third from the left end facing North. Q sits second to the right of U and faces opposite direction. P sits at the left extreme end facing South. R sits immediately to the left of Q facing North. T sits at the right extreme end. Who sits between P and U?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- U sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ U(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of U (pos 3) → Position 5
- Q faces opposite direction to U (North) → Q faces South (↓)
- R sits immediately to the left of Q (pos 5) facing North (↑) → Position 4

Position: P(↓) _ U(↑) R(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: S, T
Position 2 gets S, Position 6 gets T

Final Arrangement:
Pos: P(↓) S(↑) U(↑) R(↑) Q(↓) T(↑)

Verification:
✓ U at pos 3, facing North
✓ Q at pos 5 (second right of U), facing South (opposite of U)
✓ P at pos 1 (left extreme), facing South
✓ R at pos 4 (immediately left of Q), facing North

Person between P (pos 1) and U (pos 3): pos 2 = S

Answer: S sits between P and U.

Question 6

Six persons R, Q, P, T, S and U are sitting in a row. Some are facing North and some are facing South. R sits third from the left end facing North. Q sits second to the right of R and faces opposite direction. P sits at the left extreme end facing South. T sits immediately to the left of Q facing North. U sits at the right extreme end. Who sits between P and R?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- R sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ R(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of R (pos 3) → Position 5
- Q faces opposite direction to R (North) → Q faces South (↓)
- T sits immediately to the left of Q (pos 5) facing North (↑) → Position 4

Position: P(↓) _ R(↑) T(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: S, U
Position 2 gets S, Position 6 gets U

Final Arrangement:
Pos: P(↓) S(↑) R(↑) T(↑) Q(↓) U(↑)

Verification:
✓ R at pos 3, facing North
✓ Q at pos 5 (second right of R), facing South (opposite of R)
✓ P at pos 1 (left extreme), facing South
✓ T at pos 4 (immediately left of Q), facing North

Person between P (pos 1) and R (pos 3): pos 2 = S

Answer: S sits between P and R.

Question 7

Six persons U, S, T, Q, P and R are sitting in a row. Some are facing North and some are facing South. U sits third from the left end facing North. S sits second to the right of U and faces opposite direction. T sits at the left extreme end facing South. Q sits immediately to the left of S facing North. R sits at the right extreme end. Who sits between T and U?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- U sits third from the left end facing North (↑) → Position 3
- T sits at the left extreme end facing South (↓) → Position 1

Position: T(↓) _ U(↑) _ _ _

Step 3: Apply relative positioning
- S sits second to the right of U (pos 3) → Position 5
- S faces opposite direction to U (North) → S faces South (↓)
- Q sits immediately to the left of S (pos 5) facing North (↑) → Position 4

Position: T(↓) _ U(↑) Q(↑) S(↓) _

Step 4: Fill remaining positions
Remaining persons: P, R
Position 2 gets P, Position 6 gets R

Final Arrangement:
Pos: T(↓) P(↑) U(↑) Q(↑) S(↓) R(↑)

Verification:
✓ U at pos 3, facing North
✓ S at pos 5 (second right of U), facing South (opposite of U)
✓ T at pos 1 (left extreme), facing South
✓ Q at pos 4 (immediately left of S), facing North

Person between T (pos 1) and U (pos 3): pos 2 = P

Answer: P sits between T and U.

Question 8

Six persons R, U, Q, S, P and T are sitting in a row. Some are facing North and some are facing South. R sits third from the left end facing North. U sits second to the right of R and faces opposite direction. Q sits at the left extreme end facing South. S sits immediately to the left of U facing North. T sits at the right extreme end. Who sits between Q and R?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- R sits third from the left end facing North (↑) → Position 3
- Q sits at the left extreme end facing South (↓) → Position 1

Position: Q(↓) _ R(↑) _ _ _

Step 3: Apply relative positioning
- U sits second to the right of R (pos 3) → Position 5
- U faces opposite direction to R (North) → U faces South (↓)
- S sits immediately to the left of U (pos 5) facing North (↑) → Position 4

Position: Q(↓) _ R(↑) S(↑) U(↓) _

Step 4: Fill remaining positions
Remaining persons: P, T
Position 2 gets P, Position 6 gets T

Final Arrangement:
Pos: Q(↓) P(↑) R(↑) S(↑) U(↓) T(↑)

Verification:
✓ R at pos 3, facing North
✓ U at pos 5 (second right of R), facing South (opposite of R)
✓ Q at pos 1 (left extreme), facing South
✓ S at pos 4 (immediately left of U), facing North

Person between Q (pos 1) and R (pos 3): pos 2 = P

Answer: P sits between Q and R.

Question 9

Six persons P, Q, S, R, T and U are sitting in a row. Some are facing North and some are facing South. P sits third from the left end facing North. Q sits second to the right of P and faces opposite direction. S sits at the left extreme end facing South. R sits immediately to the left of Q facing North. U sits at the right extreme end. Who sits between S and P?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- P sits third from the left end facing North (↑) → Position 3
- S sits at the left extreme end facing South (↓) → Position 1

Position: S(↓) _ P(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of P (pos 3) → Position 5
- Q faces opposite direction to P (North) → Q faces South (↓)
- R sits immediately to the left of Q (pos 5) facing North (↑) → Position 4

Position: S(↓) _ P(↑) R(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: T, U
Position 2 gets T, Position 6 gets U

Final Arrangement:
Pos: S(↓) T(↑) P(↑) R(↑) Q(↓) U(↑)

Verification:
✓ P at pos 3, facing North
✓ Q at pos 5 (second right of P), facing South (opposite of P)
✓ S at pos 1 (left extreme), facing South
✓ R at pos 4 (immediately left of Q), facing North

Person between S (pos 1) and P (pos 3): pos 2 = T

Answer: T sits between S and P.

Question 10

Six persons U, S, T, Q, R and P are sitting in a row. Some are facing North and some are facing South. U sits third from the left end facing North. S sits second to the right of U and faces opposite direction. T sits at the left extreme end facing South. Q sits immediately to the left of S facing North. P sits at the right extreme end. Who sits between T and U?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- U sits third from the left end facing North (↑) → Position 3
- T sits at the left extreme end facing South (↓) → Position 1

Position: T(↓) _ U(↑) _ _ _

Step 3: Apply relative positioning
- S sits second to the right of U (pos 3) → Position 5
- S faces opposite direction to U (North) → S faces South (↓)
- Q sits immediately to the left of S (pos 5) facing North (↑) → Position 4

Position: T(↓) _ U(↑) Q(↑) S(↓) _

Step 4: Fill remaining positions
Remaining persons: R, P
Position 2 gets R, Position 6 gets P

Final Arrangement:
Pos: T(↓) R(↑) U(↑) Q(↑) S(↓) P(↑)

Verification:
✓ U at pos 3, facing North
✓ S at pos 5 (second right of U), facing South (opposite of U)
✓ T at pos 1 (left extreme), facing South
✓ Q at pos 4 (immediately left of S), facing North

Person between T (pos 1) and U (pos 3): pos 2 = R

Answer: R sits between T and U.

Question 11

Six persons P, R, U, T, S and Q are sitting in a row. Some are facing North and some are facing South. P sits third from the left end facing North. R sits second to the right of P and faces opposite direction. U sits at the left extreme end facing South. T sits immediately to the left of R facing North. Q sits at the right extreme end. Who sits between U and P?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- P sits third from the left end facing North (↑) → Position 3
- U sits at the left extreme end facing South (↓) → Position 1

Position: U(↓) _ P(↑) _ _ _

Step 3: Apply relative positioning
- R sits second to the right of P (pos 3) → Position 5
- R faces opposite direction to P (North) → R faces South (↓)
- T sits immediately to the left of R (pos 5) facing North (↑) → Position 4

Position: U(↓) _ P(↑) T(↑) R(↓) _

Step 4: Fill remaining positions
Remaining persons: S, Q
Position 2 gets S, Position 6 gets Q

Final Arrangement:
Pos: U(↓) S(↑) P(↑) T(↑) R(↓) Q(↑)

Verification:
✓ P at pos 3, facing North
✓ R at pos 5 (second right of P), facing South (opposite of P)
✓ U at pos 1 (left extreme), facing South
✓ T at pos 4 (immediately left of R), facing North

Person between U (pos 1) and P (pos 3): pos 2 = S

Answer: S sits between U and P.

Question 12

Six persons R, T, U, P, Q and S are sitting in a row. Some are facing North and some are facing South. R sits third from the left end facing North. T sits second to the right of R and faces opposite direction. U sits at the left extreme end facing South. P sits immediately to the left of T facing North. S sits at the right extreme end. Who sits between U and R?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- R sits third from the left end facing North (↑) → Position 3
- U sits at the left extreme end facing South (↓) → Position 1

Position: U(↓) _ R(↑) _ _ _

Step 3: Apply relative positioning
- T sits second to the right of R (pos 3) → Position 5
- T faces opposite direction to R (North) → T faces South (↓)
- P sits immediately to the left of T (pos 5) facing North (↑) → Position 4

Position: U(↓) _ R(↑) P(↑) T(↓) _

Step 4: Fill remaining positions
Remaining persons: Q, S
Position 2 gets Q, Position 6 gets S

Final Arrangement:
Pos: U(↓) Q(↑) R(↑) P(↑) T(↓) S(↑)

Verification:
✓ R at pos 3, facing North
✓ T at pos 5 (second right of R), facing South (opposite of R)
✓ U at pos 1 (left extreme), facing South
✓ P at pos 4 (immediately left of T), facing North

Person between U (pos 1) and R (pos 3): pos 2 = Q

Answer: Q sits between U and R.

Question 13

Six persons P, U, R, T, S and Q are sitting in a row. Some are facing North and some are facing South. P sits third from the left end facing North. U sits second to the right of P and faces opposite direction. R sits at the left extreme end facing South. T sits immediately to the left of U facing North. Q sits at the right extreme end. Who sits between R and P?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- P sits third from the left end facing North (↑) → Position 3
- R sits at the left extreme end facing South (↓) → Position 1

Position: R(↓) _ P(↑) _ _ _

Step 3: Apply relative positioning
- U sits second to the right of P (pos 3) → Position 5
- U faces opposite direction to P (North) → U faces South (↓)
- T sits immediately to the left of U (pos 5) facing North (↑) → Position 4

Position: R(↓) _ P(↑) T(↑) U(↓) _

Step 4: Fill remaining positions
Remaining persons: S, Q
Position 2 gets S, Position 6 gets Q

Final Arrangement:
Pos: R(↓) S(↑) P(↑) T(↑) U(↓) Q(↑)

Verification:
✓ P at pos 3, facing North
✓ U at pos 5 (second right of P), facing South (opposite of P)
✓ R at pos 1 (left extreme), facing South
✓ T at pos 4 (immediately left of U), facing North

Person between R (pos 1) and P (pos 3): pos 2 = S

Answer: S sits between R and P.

Question 14

Six persons P, T, S, Q, R and U are sitting in a row. Some are facing North and some are facing South. P sits third from the left end facing North. T sits second to the right of P and faces opposite direction. S sits at the left extreme end facing South. Q sits immediately to the left of T facing North. U sits at the right extreme end. Who sits between S and P?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- P sits third from the left end facing North (↑) → Position 3
- S sits at the left extreme end facing South (↓) → Position 1

Position: S(↓) _ P(↑) _ _ _

Step 3: Apply relative positioning
- T sits second to the right of P (pos 3) → Position 5
- T faces opposite direction to P (North) → T faces South (↓)
- Q sits immediately to the left of T (pos 5) facing North (↑) → Position 4

Position: S(↓) _ P(↑) Q(↑) T(↓) _

Step 4: Fill remaining positions
Remaining persons: R, U
Position 2 gets R, Position 6 gets U

Final Arrangement:
Pos: S(↓) R(↑) P(↑) Q(↑) T(↓) U(↑)

Verification:
✓ P at pos 3, facing North
✓ T at pos 5 (second right of P), facing South (opposite of P)
✓ S at pos 1 (left extreme), facing South
✓ Q at pos 4 (immediately left of T), facing North

Person between S (pos 1) and P (pos 3): pos 2 = R

Answer: R sits between S and P.

Question 15

Six persons S, U, P, T, Q and R are sitting in a row. Some are facing North and some are facing South. S sits third from the left end facing North. U sits second to the right of S and faces opposite direction. P sits at the left extreme end facing South. T sits immediately to the left of U facing North. R sits at the right extreme end. Who sits between P and S?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- S sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ S(↑) _ _ _

Step 3: Apply relative positioning
- U sits second to the right of S (pos 3) → Position 5
- U faces opposite direction to S (North) → U faces South (↓)
- T sits immediately to the left of U (pos 5) facing North (↑) → Position 4

Position: P(↓) _ S(↑) T(↑) U(↓) _

Step 4: Fill remaining positions
Remaining persons: Q, R
Position 2 gets Q, Position 6 gets R

Final Arrangement:
Pos: P(↓) Q(↑) S(↑) T(↑) U(↓) R(↑)

Verification:
✓ S at pos 3, facing North
✓ U at pos 5 (second right of S), facing South (opposite of S)
✓ P at pos 1 (left extreme), facing South
✓ T at pos 4 (immediately left of U), facing North

Person between P (pos 1) and S (pos 3): pos 2 = Q

Answer: Q sits between P and S.

Question 16

Six persons U, Q, R, T, P and S are sitting in a row. Some are facing North and some are facing South. U sits third from the left end facing North. Q sits second to the right of U and faces opposite direction. R sits at the left extreme end facing South. T sits immediately to the left of Q facing North. S sits at the right extreme end. Who sits between R and U?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- U sits third from the left end facing North (↑) → Position 3
- R sits at the left extreme end facing South (↓) → Position 1

Position: R(↓) _ U(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of U (pos 3) → Position 5
- Q faces opposite direction to U (North) → Q faces South (↓)
- T sits immediately to the left of Q (pos 5) facing North (↑) → Position 4

Position: R(↓) _ U(↑) T(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: P, S
Position 2 gets P, Position 6 gets S

Final Arrangement:
Pos: R(↓) P(↑) U(↑) T(↑) Q(↓) S(↑)

Verification:
✓ U at pos 3, facing North
✓ Q at pos 5 (second right of U), facing South (opposite of U)
✓ R at pos 1 (left extreme), facing South
✓ T at pos 4 (immediately left of Q), facing North

Person between R (pos 1) and U (pos 3): pos 2 = P

Answer: P sits between R and U.

Question 17

Six persons T, Q, S, U, R and P are sitting in a row. Some are facing North and some are facing South. T sits third from the left end facing North. Q sits second to the right of T and faces opposite direction. S sits at the left extreme end facing South. U sits immediately to the left of Q facing North. P sits at the right extreme end. Who sits between S and T?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- T sits third from the left end facing North (↑) → Position 3
- S sits at the left extreme end facing South (↓) → Position 1

Position: S(↓) _ T(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of T (pos 3) → Position 5
- Q faces opposite direction to T (North) → Q faces South (↓)
- U sits immediately to the left of Q (pos 5) facing North (↑) → Position 4

Position: S(↓) _ T(↑) U(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: R, P
Position 2 gets R, Position 6 gets P

Final Arrangement:
Pos: S(↓) R(↑) T(↑) U(↑) Q(↓) P(↑)

Verification:
✓ T at pos 3, facing North
✓ Q at pos 5 (second right of T), facing South (opposite of T)
✓ S at pos 1 (left extreme), facing South
✓ U at pos 4 (immediately left of Q), facing North

Person between S (pos 1) and T (pos 3): pos 2 = R

Answer: R sits between S and T.

Question 18

Six persons R, T, P, S, U and Q are sitting in a row. Some are facing North and some are facing South. R sits third from the left end facing North. T sits second to the right of R and faces opposite direction. P sits at the left extreme end facing South. S sits immediately to the left of T facing North. Q sits at the right extreme end. Who sits between P and R?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- R sits third from the left end facing North (↑) → Position 3
- P sits at the left extreme end facing South (↓) → Position 1

Position: P(↓) _ R(↑) _ _ _

Step 3: Apply relative positioning
- T sits second to the right of R (pos 3) → Position 5
- T faces opposite direction to R (North) → T faces South (↓)
- S sits immediately to the left of T (pos 5) facing North (↑) → Position 4

Position: P(↓) _ R(↑) S(↑) T(↓) _

Step 4: Fill remaining positions
Remaining persons: U, Q
Position 2 gets U, Position 6 gets Q

Final Arrangement:
Pos: P(↓) U(↑) R(↑) S(↑) T(↓) Q(↑)

Verification:
✓ R at pos 3, facing North
✓ T at pos 5 (second right of R), facing South (opposite of R)
✓ P at pos 1 (left extreme), facing South
✓ S at pos 4 (immediately left of T), facing North

Person between P (pos 1) and R (pos 3): pos 2 = U

Answer: U sits between P and R.

Question 19

Six persons Q, R, U, S, P and T are sitting in a row. Some are facing North and some are facing South. Q sits third from the left end facing North. R sits second to the right of Q and faces opposite direction. U sits at the left extreme end facing South. S sits immediately to the left of R facing North. T sits at the right extreme end. Who sits between U and Q?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- Q sits third from the left end facing North (↑) → Position 3
- U sits at the left extreme end facing South (↓) → Position 1

Position: U(↓) _ Q(↑) _ _ _

Step 3: Apply relative positioning
- R sits second to the right of Q (pos 3) → Position 5
- R faces opposite direction to Q (North) → R faces South (↓)
- S sits immediately to the left of R (pos 5) facing North (↑) → Position 4

Position: U(↓) _ Q(↑) S(↑) R(↓) _

Step 4: Fill remaining positions
Remaining persons: P, T
Position 2 gets P, Position 6 gets T

Final Arrangement:
Pos: U(↓) P(↑) Q(↑) S(↑) R(↓) T(↑)

Verification:
✓ Q at pos 3, facing North
✓ R at pos 5 (second right of Q), facing South (opposite of Q)
✓ U at pos 1 (left extreme), facing South
✓ S at pos 4 (immediately left of R), facing North

Person between U (pos 1) and Q (pos 3): pos 2 = P

Answer: P sits between U and Q.

Question 20

Six persons T, U, Q, S, P and R are sitting in a row. Some are facing North and some are facing South. T sits third from the left end facing North. U sits second to the right of T and faces opposite direction. Q sits at the left extreme end facing South. S sits immediately to the left of U facing North. R sits at the right extreme end. Who sits between Q and T?

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- T sits third from the left end facing North (↑) → Position 3
- Q sits at the left extreme end facing South (↓) → Position 1

Position: Q(↓) _ T(↑) _ _ _

Step 3: Apply relative positioning
- U sits second to the right of T (pos 3) → Position 5
- U faces opposite direction to T (North) → U faces South (↓)
- S sits immediately to the left of U (pos 5) facing North (↑) → Position 4

Position: Q(↓) _ T(↑) S(↑) U(↓) _

Step 4: Fill remaining positions
Remaining persons: P, R
Position 2 gets P, Position 6 gets R

Final Arrangement:
Pos: Q(↓) P(↑) T(↑) S(↑) U(↓) R(↑)

Verification:
✓ T at pos 3, facing North
✓ U at pos 5 (second right of T), facing South (opposite of T)
✓ Q at pos 1 (left extreme), facing South
✓ S at pos 4 (immediately left of U), facing North

Person between Q (pos 1) and T (pos 3): pos 2 = P

Answer: P sits between Q and T.

Linear Mixed Facing Directions - Intermediate Level: tricky scenarios handling Linear Mixed Facing Directions INTERMEDIATE

What you'll learn in this worksheet: