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Question

A, B, C, D and E are sitting in a row facing towards south (not necessarily in the same order). A is to the immediate right of C. Only two persons are sitting between A and B and B is not the neighbour of E.
Who is sitting to immediate right of A?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
E

Seating Arrangement Logic: Find Person Right of A

This problem requires us to determine the exact seating positions of five individuals (A, B, C, D, E) arranged in a row while facing South. We will use the provided clues to deduce the order.

Understanding Directions for South Facing

When individuals face South, their perspective on directions differs from a standard overhead view. If we represent the row from left to right on paper (e.g., West to East), a person's "right" is towards the East end of the row (for someone in the middle), and their "left" is towards the West end. Crucially, the person seated further East is to the right of the person seated further West when both face South.

Key Insight: The clue "A is to the immediate right of C" means that C is immediately to A's left when viewed from West to East. Therefore, the pair appears as A C in a West-to-East sequence.

Step-by-Step Deduction of Arrangement

  • Clue 1: "A is to the immediate right of C". As established, this means the block A C exists in the West-to-East order.
  • Clue 2: "Only two persons are sitting between A and B". With the A C block, we consider the possible placements of B such that exactly two people are between A and B. This leads to two potential structures (West to East):
    • Possibility 1: B _ _ A C (Total 5 positions filled)
    • Possibility 2: A C _ _ B (Total 5 positions filled)
  • Clue 3: "B is not the neighbour of E". We now test these possibilities using the remaining individuals, D and E.
    • Evaluating Possibility 1 (B _ _ A C): The blanks must be D and E.
      • Arrangement: B D E A C. Here, B's neighbour is D. E's neighbours are D and A. B is not adjacent to E. This arrangement satisfies all conditions so far.
      • Arrangement: B E D A C. Here, B's neighbour is E. This violates the rule "B is not the neighbour of E".
      Thus, B D E A C is the only valid structure derived from Possibility 1.
    • Evaluating Possibility 2 (A C _ _ B): The blanks must be D and E.
      • Arrangement: A C D E B. Here, B's neighbour is E. This violates the rule "B is not the neighbour of E".
      • Arrangement: A C E D B. Here, B's neighbour is D. This seems valid based on this clue alone.
  • Final Verification: We must ensure the derived arrangements satisfy *all* original clues precisely.
    • Checking B D E A C:
      • A is immediate right of C: Yes (Seat 4 vs Seat 5 in West-East order).
      • Two between A and B: Yes (Seats 2 & 3, holding D & E, are between Seat 4 (A) and Seat 1 (B)).
      • B not neighbour of E: Yes (B is adjacent only to D).
      • This arrangement is fully consistent.
    • Checking A C E D B:
      • A is immediate right of C: Yes (Seat 1 vs Seat 2).
      • Two between A and B: A is at Seat 1, B is at Seat 5. The individuals in between are C (Seat 2), E (Seat 3), and D (Seat 4). This means there are three people between A and B, contradicting the clue "Only two persons are sitting between A and B".
      • This arrangement is invalid.
  • Conclusion: The only arrangement satisfying all conditions is B D E A C from West to East.

Determining Who is to A's Immediate Right

The confirmed seating order from West to East is: B, D, E, A, C.

The question asks who is sitting to the immediate right of A.

In the arrangement B D E A C, A is followed immediately by C towards the East. However, considering they face South:

  • A is positioned fourth from the West end (or second from the East end).
  • Facing South, A's right is the position immediately towards the East end.
  • The person in the position immediately East of A is E.
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Similar Questions

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  2. Seven people, A, B, C, D, P, Q and R, are sitting in a row, facing north.
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  10. Study the given information carefully and answer the question that follows.

    Eight persons A, B, C, D, E, F, G and H are sitting in a row facing the north but not necessarily in the same order. Three persons are sitting between D and F. G is sitting to the immediate left of D. Only one person is sitting between E and B. E is not sitting at any of the extreme ends. More than three persons are sitting between H and A. A is sitting to the left of H. Either H or A is sitting at one of the ends. Neither D nor F is sitting at any of the extreme ends. E and B are not the immediate neighbours of G and D. E is sitting to the right of B.

    How many persons are sitting between H and C?

Important Questions from Linear Arrangement

  1. Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?

  2. Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?

  3. Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?

  4. Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?

  5. A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer.

    Question: How many people are standing in the row where all people are facing north?

    Statements:

    (I) A is fourth from the left end; M is second to the right of A; and R is second from the left end.

    (II) M is fourth from the right end; only two people Stand between M and B.

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