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Question

Five people (A, B, C, D and E) are sitting in a straight line. They all are facing towards the north. B is sitting immediately between C and E. A is sitting third to the left of E. C is sitting second to the right of D. Who is sitting at the extreme left end of line?

The correct answer is
D

To solve the problem, we need to arrange the five people (A, B, C, D, E) in a straight line according to the given conditions. Here’s how we can proceed:

  1. Understand the conditions:
    • B is immediately between C and E. This implies the arrangement C-B-E or E-B-C.
    • A is sitting third to the left of E. This means if E is at position 5, A would be at position 2; if E is at position 4, A would be at position 1.
    • C is sitting second to the right of D.
  2. Attempt to align these conditions:
    • Let's assume B is between C and E as C-B-E.
    • If E is at the 5th position:
      • A has to be at the 2nd position, fulfilling "A is third to the left of E." The positions would be: A, _, _, _, E.
      • This places C at the 3rd position and B at the 4th position, satisfying C-B-E condition.
      • Now D, who has no other specific condition linked to E, can be at the 1st position with C sitting second to the right of D, making it possible as follows: D, A, C, B, E.
  3. Conclusion: From the arrangement D, A, C, B, E, it is clear that D is sitting at the extreme left end of the line.

Therefore, the correct answer is D.

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Important Questions from Linear Arrangement

  1. Six people A, B, C, D, E and F are sitting in a straight line. All are facing towards North.
    B is seated third from the extreme right end of the line.
    Only two people are seated between B and E.
    C is sitting second from the right of B.
    F is an immediate neighbour of B and C.
    A is sitting to the immediate right of D.
    How many people are seated between D and F?
  2. Seven people A, B, C, D, E, F and G are sitting in a row, facing the north. Only three people sit to the left of D. B sits third to the left of D. F sits to the right of A but left of D. E sits to the right of C but left of G. How many people sit to the right of F?
  3. Seven people, I, J, K, L, M, N and O, are sitting in a row, facing north. Only three people sit to the left of M. Only I sits to the right of O. Only three people sit between O and N. J sits at some place to the left of K but at some place to the right of L. How many people sit between L and K?
  4. Seven people A, B, C, D, E, F and G are sitting in a row, facing north. Only two people sit between D and C. Only G sits to the right of E. Only one person sits between C and E. A sits at some place to the right of F but at some place to the left of B. How many people sit to the right of A?
  5. Seven people, A, B, C, D, P, Q and R, are sitting in a row, facing north. Only two people sit between Q and R. Only D sits to the right of A. Only one person sits between R and A. B sits at some place to the right of P but at some place to the left of C. How many people sit between C and P?
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