How many sit people between D and M when counted from the left of M?
Seating Arrangement Deduction
The problem involves arranging 7 people (D, E, F, G, K, L, M) around a circular table facing the centre. We use the given clues to determine their positions.
- Clue 1: D sits fourth to the right of K.
- Clue 2: Two people sit between L and G (counted from L's left).
- Clue 3: F sits third to the left of E.
- Clue 4: M is an immediate neighbour of E and G.
Determining Positions
Let's establish the arrangement step-by-step:
- Assume K is at position 1. Since D is fourth to the right of K, D is at position 5 (in a circle of 7). The arrangement looks like: K _ _ _ D _ _
- Consider Clue 4 (M neighbours E and G) and Clue 3 (F is 3rd left of E). If E is placed at position 2, then F (being 3rd to the left) will be at position 6. Arrangement: K E _ _ D F _
- Since M neighbours E (at position 2), M must be at position 3 (position 1 is occupied by K). Arrangement: K E M _ D F _
- M also neighbours G. With M at position 3, G must be at position 4 (as position 2 is E). Arrangement: K E M G D F _
- The only remaining person is L, who must occupy position 7. The final arrangement clockwise is: K E M G D F L
- We verify Clue 2: L is at position 7. Counting from L's left (anti-clockwise): position 6 (F), position 5 (D). G is at position 4. The sequence is L, F, D, G. This confirms that there are 2 people (F and D) between L and G when counted from L's left. All clues are satisfied.
Counting People Between D and M
The deduced arrangement clockwise is: K(1), E(2), M(3), G(4), D(5), F(6), L(7).
The question asks for the number of people between D and M, counted specifically from the left of M.
- M is located at position 3. D is located at position 5.
- To count from the left of M, we move anti-clockwise:
- M's immediate left is E (position 2).
- Next left is K (position 1).
- Next left is L (position 7).
- Next left is F (position 6).
- The next person encountered moving left is D (position 5).
- The sequence of people encountered moving left from M until D is reached is E, K, L, F.
- Therefore, there are 4 people (E, K, L, F) sitting between D and M when counted from the left of M.
Similar Questions
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Consider the Question and two Statements given below :
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Which one of the following is correct in respect of the Question and the Statements?
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