Are all the four friends viz. A, B, C and D who are sitting around a circular table, facing the centre? I) B sits second to right of D. D faces the centre. C sits to immediate right of both B and D. II) A sits to immediate left to B. C is not an immedia



Are all the four friends viz. A, B, C and D who are sitting around a circular table, facing the centre?
I) B sits second to right of D. D faces the centre. C sits to immediate right of both B and D.
II) A sits to immediate left to B. C is not an immediate neighbour of A. C sits to immediate right of D.
III) D is an immediate neighbour of both A and C. B sits to the immediate left of A. C sits to the immediate right of B.
1). If the data in Statement I and II are sufficient to answer the question, while the data in Statement III are not required to answer the question.
2). If the data in Statement I and III are sufficient to answer the question, while the data in Statement II are not required to answer the question.
3). If the data in Statement II and III are sufficient to answer the question, while the data in Statement I are not required to answer the question.
4). If the data in either Statement I alone or Statement II alone or Statement III alone are sufficient to answer the question.
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Answers 2

Statement I:
  1. B sits second to the right of D.
  2. D faces the centre.
  3. C sits to the immediate right of both B and D.
Since D is facing the centre, his right is the clockwise direction.
  1. B sitting second to the right of D means that there is one person between D and B.
  2. C sits to the immediate right of both B and D.
Let’s arrange them step by step:

  1. D is facing the center.
  2. B is second to the right → (D → X → B).
  3. C is immediately right of both B and D. Since C is right of D, it must sit immediately after D.
That means the arrangement so far is:
  1. D → C → X → B
  2. Only A remains, and A must be X.
So, the arrangement becomes:
D → C → A → B
Since D is facing the centre, we can now determine the direction of all others, and all of them are facing the centre.

Statement I alone is sufficient.

Statement II:

  1. A sits immediately left of B.
  2. C is not an immediate neighbour of A.
  3. C sits to the immediate right of D.
Step by step:

  1. C sits to the immediate right of D.
  2. A sits to the immediate left of B, meaning (A → B).
  3. C is not an immediate neighbour of A.
Let's assume D is facing the centre:

  1. If C is immediately right of D → (D → C)
  2. A cannot be next to C, so the only valid arrangement is:
  3. D → C → B → A.
Here, we can again confirm that all are facing the centre.

Statement II alone is sufficient.

Statement III:
  1. D is an immediate neighbour of both A and C.
  2. B sits to the immediate left of A.
  3. C sits to the immediate right of B.
Step by step:

  1. D is between A and C → (A → D → C or C → D → A).
  2. B is immediately left of A → (B → A).
  3. C is to the immediate right of B.
Combining:

  1. B is to the left of A, and C is to the right of B.
  2. So, the correct order is: B → A → D → C.
  3. If D is facing the centre, we can determine all others' positions, proving that all are facing the centre.
Statement III alone is sufficient.

Hence: Each statement alone is individually sufficient to determine that all four friends are facing the centre. Thus, the correct answer is: Option 4: If the data in either Statement I alone or Statement II alone or Statement III alone are sufficient to answer the question.

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