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Question

Seven people, C, D, E, F, L, M and N, are sitting in a row, facing north.
Only two people sit to the right of C. Only two people sit between C and L. Only two people sit between E and N. N sits to the immediate left of C. M sits to the immediate right of F. Who sits at the third position from the left end of the row?

The correct answer is
D

Arrangement Puzzle: Deductive Reasoning

This problem involves a seating arrangement puzzle where seven people are sitting in a row facing north. We need to determine who occupies the third position from the left end based on the given clues.

Step-by-Step Deductions

Let's break down the clues to determine the exact seating positions:

  • Clue 1: "Only two people sit to the right of C." Since there are 7 positions in total (1 to 7 from left to right), this means C must be in the 5th position.Positions: _ _ _ _ C _ _
  • Clue 2: "N sits to the immediate left of C." As C is in position 5, N must be in position 4.Positions: _ _ _ N C _ _
  • Clue 3: "Only two people sit between C and L." With C in position 5, L can either be in position 2 (Positions: _ L _ N C _ _) or position 8 (which is impossible). Therefore, L is in position 2.Positions: _ L _ N C _ _
  • Clue 4: "Only two people sit between E and N." N is in position 4. If E sits to the left of N, there must be two people between them. This places E in position 1 (with L and D in between). If E sits to the right of N, there would be C and another person (F or M) between them, placing E in position 7. Let's analyze the first case: E in position 1.Positions: E L _ N C _ _
  • Clue 5: "M sits to the immediate right of F." This means F and M are seated together as a pair (FM).

Final Arrangement

Based on the deductions so far, the arrangement looks like: E L _ N C _ _. The remaining positions are 3, 6, and 7. The remaining people are D, F, and M. We need to place the FM pair.

  • The only adjacent empty slots are positions 6 and 7. So, F must be in position 6, and M must be in position 7.Positions: E L _ N C F M
  • The only person left is D, and the only position left is 3.Positions: E L D N C F M

Let's verify all the clues with this final arrangement:

  • Seven people (E, L, D, N, C, F, M) are in a row facing north. (Correct)
  • Only two people (F, M) sit to the right of C. (Correct - C is 5th)
  • Only two people (D, N) sit between C (5th) and L (2nd). (Correct)
  • Only two people (L, D) sit between E (1st) and N (4th). (Correct)
  • N (4th) sits to the immediate left of C (5th). (Correct)
  • M (7th) sits to the immediate right of F (6th). (Correct)

The final seating arrangement from left to right is: E, L, D, N, C, F, M.

Identifying the Person at the Third Position

We need to find who sits at the third position from the left end.

Counting from the left:

  • 1st position: E
  • 2nd position: L
  • 3rd position: D
  • 4th position: N
  • 5th position: C
  • 6th position: F
  • 7th position: M

Therefore, D sits at the third position from the left end of the row.

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Important Questions from Seating Arrangement (Notes)

  1. Read the directions carefully and give the answer from the given options. 

    P, Q, R, S, T, K, L, M and N are sitting around a circle facing the centre. 

    K is $4^{th}$ to the right of P and P is $3^{rd}$ to the right of Q. 

    N is $4^{th}$ to the left of Q and $3^{rd}$ to the right of S. 

    R is $2^{nd}$ to the right of M and M is the immediate neighbour of P. 

    T is $2^{nd}$ to the left of L. 

    Who is to the immediate left of K?

  2. Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
    Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.
    How many people sit to the left of V?

  3. Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?

  4. P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?

  5. Six people, B, C, D, I, J and K, are sitting around a circular table facing the centre. Only two people sit between B and I when counted from the right of I. K sits to the immediate left of J. I sits to the immediate right of C. Who among the following are the immediate neighbours of D?

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