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Question

Six friends A,B,C,D,E and F are sitting in a closed circle facing the centre. E is to the left of D. C is between A and B. F is between E and A.

Who is in the either side of A?

The correct answer is

C and F

Understanding the Six Friends Seating Arrangement

This problem involves a classic logic puzzle where we need to figure out the seating arrangement of six friends (A, B, C, D, E, F) sitting in a closed circle. They are all facing the center, which is important for determining "left" and "right". In a circle, "left" usually means clockwise movement relative to the person facing the center, and "right" means anti-clockwise movement. Let's break down the given clues step-by-step to determine the seating order.
Clue Interpretation
E is to the left of D. Moving clockwise from D, the next person is E. So the sequence is D → E (clockwise).
C is between A and B. This means A, C, and B are consecutive in the circle. The order could be A → C → B or B → C → A.
F is between E and A. This means E, F, and A are consecutive. The order could be E → F → A or A → F → E.

Constructing the Seating Order

Let's combine the clues.
  1. We know D → E.
  2. We know F is between E and A, so we have E → F → A or A → F → E. Given E is clockwise from D, let's try extending the sequence D → E. The arrangement E → F → A fits naturally: D → E → F → A.
  3. We know C is between A and B, so we have A → C → B or B → C → A. Since our sequence is D → E → F → A, the arrangement A → C → B extends this to D → E → F → A → C → B.
Let's check if this full sequence D → E → F → A → C → B forms a closed circle with six people and satisfies all conditions:
  • Circle arrangement: D, E, F, A, C, B are all placed. Closing the circle means B is next to D.
  • E is to the left of D: Yes, in the order D → E (clockwise).
  • C is between A and B: Yes, the sequence is A → C → B.
  • F is between E and A: Yes, the sequence is E → F → A.
All conditions are met with the clockwise arrangement: D, E, F, A, C, B.

Identifying Neighbors of A

The question asks who is on either side of A. Looking at our derived clockwise arrangement: D → E → F → A → C → B. The people immediately next to A are F (to A's left, clockwise) and C (to A's right, anti-clockwise). Therefore, the individuals on either side of A are C and F.
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Important Questions from Circular Arrangement

  1. Eight students A, B, C, D, E, F, G and Hsit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. Band Dsit neither adjacent to Cnor opposite to C. Asits in between Eand D, and Fsits in between Band H. Which one of the following is definitely correct?

  2. Six persons A, B, C, D, E and Fare sitting equidistant from each other around a circular table (facing the centre of the table).

    Consider the Question and two Statements given below :

    Question : Who is sitting on the immediate left of A?

    Statement-1 : Bis sitting opposite to Cand Dis sitting  opposite to E.

    Statement-2 : Fis sitting on the immediate left of B.

    Which one of the following is correct in respect of the Question and the Statements?

  3. Vishal, Tanmay, Zain, Yashi, Rishi and Manish are sitting in a circle facing the centre. Rishi is opposite Manish, Yashi is to the left of Vishal who is opposite Tanmay. Who is to the left of Zain, if Manish is between Zain and Vishal?

  4. Seven persons P, Q, R, S, T, U and V are sitting around a circular table facing the center (not necessarily in the same order). T sits third to the right of R. V sits third to the right of Q. One person sits between P and T. P is not the neighbor of S. U sits third to the left of P. Who sits second to the left of S?

  5. Akash, Binita, Chandan, Daksh, Ekta & Fatima are standing in a circle. Binita is between Daksh & Chandan. Akash is between Ekta & Chandan. Fatima is to the right of Daksh. Who is between Akash & Fatima?

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