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?
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.
Important Questions from Seating Arrangement (Notes)
- Five friends are sitting on a bench in the following order :
(i) P is sitting next to Q and R is next to S.
(ii) S is not sitting with T; T is on the extreme left hand side of the bench and R is on second position from the right hand side.
(iii) P is on the right hand side of Q and to the right side of T. (iv) P and R sitting together
Who is sitting exactly in the middle ? - Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only three people sit between E and D. A sits to the immediate left of D. No one sits to the right of B. Only two people sit between B and A. G sits to the immediate right of F. How many people sit to the right of F?
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?
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?
A, B, C, D, J, K and L are sitting around a circular table facing the centre of the table. K sits to the immediate right of B. Only three people sit between K and A when counted from the left of K. Only three people sit between B and L. C sits to the immediate right of D. How many people sit between J and D when counted from the left of D?
