Linear Single Row North Facing | Worksheet 7/10

Question 1

Five persons B, E, C, A and D are sitting in a row facing North. B sits at one of the extreme ends. E sits second to the right of B. C sits immediately to the left of E. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- E sits second to the right of B → E at position 3
- C sits immediately to the left of E → C at position 2

Position: B C E _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: B C E A D

Verification:
✓ B at extreme end (pos 1)
✓ E second to the right of B (pos 3)
✓ C immediately to the left of E (pos 2)
✓ A not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Question 2

Five persons B, D, C, A and E are sitting in a row facing North. B sits at one of the extreme ends. D sits second to the right of B. C sits immediately to the left of D. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- D sits second to the right of B → D at position 3
- C sits immediately to the left of D → C at position 2

Position: B C D _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: B C D A E

Verification:
✓ B at extreme end (pos 1)
✓ D second to the right of B (pos 3)
✓ C immediately to the left of D (pos 2)
✓ A not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Question 3

Five persons D, C, B, A and E are sitting in a row facing North. D sits at one of the extreme ends. C sits second to the right of D. B sits immediately to the left of C. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- C sits second to the right of D → C at position 3
- B sits immediately to the left of C → B at position 2

Position: D B C _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: D B C A E

Verification:
✓ D at extreme end (pos 1)
✓ C second to the right of D (pos 3)
✓ B immediately to the left of C (pos 2)
✓ A not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Question 4

Five persons C, B, E, A and D are sitting in a row facing North. C sits at one of the extreme ends. B sits second to the right of C. E sits immediately to the left of B. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- B sits second to the right of C → B at position 3
- E sits immediately to the left of B → E at position 2

Position: C E B _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: C E B A D

Verification:
✓ C at extreme end (pos 1)
✓ B second to the right of C (pos 3)
✓ E immediately to the left of B (pos 2)
✓ A not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Question 5

Five persons B, E, C, A and D are sitting in a row facing North. B sits at one of the extreme ends. E sits second to the right of B. C sits immediately to the left of E. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- E sits second to the right of B → E at position 3
- C sits immediately to the left of E → C at position 2

Position: B C E _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: B C E A D

Verification:
✓ B at extreme end (pos 1)
✓ E second to the right of B (pos 3)
✓ C immediately to the left of E (pos 2)
✓ A not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Question 6

Five persons A, E, C, D and B are sitting in a row facing North. A sits at one of the extreme ends. E sits second to the right of A. C sits immediately to the left of E. D is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- E sits second to the right of A → E at position 3
- C sits immediately to the left of E → C at position 2

Position: A C E _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: A C E D B

Verification:
✓ A at extreme end (pos 1)
✓ E second to the right of A (pos 3)
✓ C immediately to the left of E (pos 2)
✓ D not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Question 7

Five persons B, D, C, E and A are sitting in a row facing North. B sits at one of the extreme ends. D sits second to the right of B. C sits immediately to the left of D. E is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- D sits second to the right of B → D at position 3
- C sits immediately to the left of D → C at position 2

Position: B C D _ _

Step 3: Apply constraint conditions
- E is not at any extreme end → remaining positions are 4 and 5; E cannot be at 5, so E at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: B C D E A

Verification:
✓ B at extreme end (pos 1)
✓ D second to the right of B (pos 3)
✓ C immediately to the left of D (pos 2)
✓ E not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Question 8

Five persons D, E, C, A and B are sitting in a row facing North. D sits at one of the extreme ends. E sits second to the right of D. C sits immediately to the left of E. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- E sits second to the right of D → E at position 3
- C sits immediately to the left of E → C at position 2

Position: D C E _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: D C E A B

Verification:
✓ D at extreme end (pos 1)
✓ E second to the right of D (pos 3)
✓ C immediately to the left of E (pos 2)
✓ A not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Question 9

Five persons D, E, B, C and A are sitting in a row facing North. D sits at one of the extreme ends. E sits second to the right of D. B sits immediately to the left of E. C is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- E sits second to the right of D → E at position 3
- B sits immediately to the left of E → B at position 2

Position: D B E _ _

Step 3: Apply constraint conditions
- C is not at any extreme end → remaining positions are 4 and 5; C cannot be at 5, so C at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: D B E C A

Verification:
✓ D at extreme end (pos 1)
✓ E second to the right of D (pos 3)
✓ B immediately to the left of E (pos 2)
✓ C not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Question 10

Five persons C, D, B, E and A are sitting in a row facing North. C sits at one of the extreme ends. D sits second to the right of C. B sits immediately to the left of D. E is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- D sits second to the right of C → D at position 3
- B sits immediately to the left of D → B at position 2

Position: C B D _ _

Step 3: Apply constraint conditions
- E is not at any extreme end → remaining positions are 4 and 5; E cannot be at 5, so E at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: C B D E A

Verification:
✓ C at extreme end (pos 1)
✓ D second to the right of C (pos 3)
✓ B immediately to the left of D (pos 2)
✓ E not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Question 11

Five persons C, B, E, A and D are sitting in a row facing North. C sits at one of the extreme ends. B sits second to the right of C. E sits immediately to the left of B. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- B sits second to the right of C → B at position 3
- E sits immediately to the left of B → E at position 2

Position: C E B _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: C E B A D

Verification:
✓ C at extreme end (pos 1)
✓ B second to the right of C (pos 3)
✓ E immediately to the left of B (pos 2)
✓ A not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Question 12

Five persons D, B, C, A and E are sitting in a row facing North. D sits at one of the extreme ends. B sits second to the right of D. C sits immediately to the left of B. A is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- D sits at one extreme end → Place D at position 1
- B sits second to the right of D → B at position 3
- C sits immediately to the left of B → C at position 2

Position: D C B _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: D C B A E

Verification:
✓ D at extreme end (pos 1)
✓ B second to the right of D (pos 3)
✓ C immediately to the left of B (pos 2)
✓ A not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Question 13

Five persons E, C, A, D and B are sitting in a row facing North. E sits at one of the extreme ends. C sits second to the right of E. A sits immediately to the left of C. D is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- E sits at one extreme end → Place E at position 1
- C sits second to the right of E → C at position 3
- A sits immediately to the left of C → A at position 2

Position: E A C _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: E A C D B

Verification:
✓ E at extreme end (pos 1)
✓ C second to the right of E (pos 3)
✓ A immediately to the left of C (pos 2)
✓ D not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Question 14

Five persons C, E, B, D and A are sitting in a row facing North. C sits at one of the extreme ends. E sits second to the right of C. B sits immediately to the left of E. D is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- E sits second to the right of C → E at position 3
- B sits immediately to the left of E → B at position 2

Position: C B E _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: C B E D A

Verification:
✓ C at extreme end (pos 1)
✓ E second to the right of C (pos 3)
✓ B immediately to the left of E (pos 2)
✓ D not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Question 15

Five persons A, C, E, B and D are sitting in a row facing North. A sits at one of the extreme ends. C sits second to the right of A. E sits immediately to the left of C. B is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- C sits second to the right of A → C at position 3
- E sits immediately to the left of C → E at position 2

Position: A E C _ _

Step 3: Apply constraint conditions
- B is not at any extreme end → remaining positions are 4 and 5; B cannot be at 5, so B at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: A E C B D

Verification:
✓ A at extreme end (pos 1)
✓ C second to the right of A (pos 3)
✓ E immediately to the left of C (pos 2)
✓ B not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Question 16

Five persons B, D, C, E and A are sitting in a row facing North. B sits at one of the extreme ends. D sits second to the right of B. C sits immediately to the left of D. E is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- B sits at one extreme end → Place B at position 1
- D sits second to the right of B → D at position 3
- C sits immediately to the left of D → C at position 2

Position: B C D _ _

Step 3: Apply constraint conditions
- E is not at any extreme end → remaining positions are 4 and 5; E cannot be at 5, so E at position 4
- Only A remains → A at position 5

Final Arrangement (all facing North ↑):
Position: B C D E A

Verification:
✓ B at extreme end (pos 1)
✓ D second to the right of B (pos 3)
✓ C immediately to the left of D (pos 2)
✓ E not at extreme end (pos 4)

Answer: A sits at the other extreme end (position 5).

Question 17

Five persons C, E, A, D and B are sitting in a row facing North. C sits at one of the extreme ends. E sits second to the right of C. A sits immediately to the left of E. D is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- E sits second to the right of C → E at position 3
- A sits immediately to the left of E → A at position 2

Position: C A E _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only B remains → B at position 5

Final Arrangement (all facing North ↑):
Position: C A E D B

Verification:
✓ C at extreme end (pos 1)
✓ E second to the right of C (pos 3)
✓ A immediately to the left of E (pos 2)
✓ D not at extreme end (pos 4)

Answer: B sits at the other extreme end (position 5).

Question 18

Five persons A, B, E, C and D are sitting in a row facing North. A sits at one of the extreme ends. B sits second to the right of A. E sits immediately to the left of B. C is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- B sits second to the right of A → B at position 3
- E sits immediately to the left of B → E at position 2

Position: A E B _ _

Step 3: Apply constraint conditions
- C is not at any extreme end → remaining positions are 4 and 5; C cannot be at 5, so C at position 4
- Only D remains → D at position 5

Final Arrangement (all facing North ↑):
Position: A E B C D

Verification:
✓ A at extreme end (pos 1)
✓ B second to the right of A (pos 3)
✓ E immediately to the left of B (pos 2)
✓ C not at extreme end (pos 4)

Answer: D sits at the other extreme end (position 5).

Question 19

Five persons C, A, B, D and E are sitting in a row facing North. C sits at one of the extreme ends. A sits second to the right of C. B sits immediately to the left of A. D is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- A sits second to the right of C → A at position 3
- B sits immediately to the left of A → B at position 2

Position: C B A _ _

Step 3: Apply constraint conditions
- D is not at any extreme end → remaining positions are 4 and 5; D cannot be at 5, so D at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: C B A D E

Verification:
✓ C at extreme end (pos 1)
✓ A second to the right of C (pos 3)
✓ B immediately to the left of A (pos 2)
✓ D not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Question 20

Five persons A, C, D, B and E are sitting in a row facing North. A sits at one of the extreme ends. C sits second to the right of A. D sits immediately to the left of C. B is not at any extreme end. Who sits at the other extreme end?

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- A sits at one extreme end → Place A at position 1
- C sits second to the right of A → C at position 3
- D sits immediately to the left of C → D at position 2

Position: A D C _ _

Step 3: Apply constraint conditions
- B is not at any extreme end → remaining positions are 4 and 5; B cannot be at 5, so B at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: A D C B E

Verification:
✓ A at extreme end (pos 1)
✓ C second to the right of A (pos 3)
✓ D immediately to the left of C (pos 2)
✓ B not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Master Linear Single Row North Facing - Intermediate-Advanced Level Problems Linear Single Row North Facing INTERMEDIATE ADVANCED

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