Question
A, B, C, D, E and F are sitting around a circular table, facing the centre. A and D are immediate neighbours of C. E is to the immediate left of D. A and F are not immediate neighbours. Who sits third to the right of A?
The correct answer is
E
Step 1: Initial Placement based on Constraints
- We have 6 people (A, B, C, D, E, F) sitting around a circular table facing the centre.
- Constraint 1: A and D are immediate neighbours of C. This means C is seated between A and D. Clockwise, this could be ...A-C-D... or ...D-C-A....
Step 2: Incorporate "E is left of D"
- Constraint 2: E is to the immediate left of D. Since everyone faces the centre, 'left' refers to the counter-clockwise direction.
- Let's test the sequence ...D-C-A... (clockwise). If D is placed, E must be in the seat immediately counter-clockwise to D. This forms the sequence ...E-D-C-A... clockwise.
- Let's assign seat numbers 1 to 6 clockwise. If we set D at seat 1, then C is at seat 2, A is at seat 3, and E must be at seat 6 (the seat counter-clockwise to D).
- The arrangement so far (clockwise) is: D (1), C (2), A (3), _ (4), _ (5), E (6).
- (Note: The sequence ...A-C-D... is not possible because placing E to the left of D would conflict with C being D's neighbour).
Step 3: Place Remaining People (B, F)
- The remaining seats are 4 and 5. The remaining people are B and F.
- Constraint 3: A and F are not immediate neighbours.
- In the current arrangement (D-C-A-\_\_-\_\_-E clockwise), A is at seat 3. Its immediate neighbours are C (seat 2) and the person in seat 4.
- Since F cannot be a neighbour of A, F cannot sit in seat 4.
- Therefore, F must sit in seat 5.
- This leaves B to sit in seat 4.
- The final clockwise arrangement is: D, C, A, B, F, E.
Step 4: Identify Who Sits Third to the Right of A
- Locate A in the clockwise sequence: D, C, A, B, F, E.
- Starting from A, we count three people clockwise (to the right):
- 1st person to the right of A is B.
- 2nd person to the right of A is F.
- 3rd person to the right of A is E.
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Important Questions from Circular Arrangement
- A, B, C, D, E and F are sitting around a circular table facing the centre. D sits third to the right of C. A sits second to the left of C. E sits second to the right of F. B sits to the immediate right of E. How many people sit between A and F when counted from the left of A?
- Six colleagues - Hussain, Anita, Manshaad, Emily, Sunita, and Shanti - are sitting around a circular table facing the centre. Hussain is sitting second to the right of Anita. Manshaad is an immediate neighbour of both Emily and Anita. Sunita is sitting second to the left of Manshaad. Who is sitting second to the left of Shanti?
A, B, C, D, E and F are sitting around a circular table, facing the centre. D sits third to the right of C. A sits second to the left of C. E sits second to the right of F. B sits to the immediate right of E. How many people sit between A and F, when counted from the left of A?
- A, B, C, D, E and F are sitting around a circular table, facing the centre. B sits third to the right of C. C sits second to the left of A. F sits third to the right of D. D sits to the immediate left of E. How many people sit between E and B, when counted from the left of E?
- A, B, C, D, E, F and G are sitting around a circular table, facing the centre. Only two people sit between F and C, when counted from the right of F. Only two people sit between C and A, when counted from the right of C. Only three people sit between F and G, when counted from the right of F. E sits to the immediate left of D. How many people sit between D and F, when counted from the right of D?
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