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D, E, F, G, L, M and N are sitting around a circular table facing the centre. F sits third to the left of L. N sits second to the left of E. L is an immediate neighbour of both D and N. G is not an immediate neighbour of F. How many people sit between M and N when counted from the right of M?
Four
Three
One
Two
Two
Fix the reference point L, place neighbors D and N, then build the arrangement by placing F relative to L and N relative to E to identify the complete circle positions.
Fix the reference point L, place neighbors D and N, then build the arrangement by placing F relative to L and N relative to E to identify the complete circle positions.
Establish the Arrangement
Let 7 positions be 1 to 7 clockwise. Place L at position 1. Since L is neighbor to D and N, D and N are at 2 and 7 (or vice versa). F is 3rd to the left of L (position 5). N is 2nd to the left of E. If N is at 7, then E must be at 2 (but D is there). If N is at 2, E must be at 4. Now we have: L=1, N=2, D=7, E=4, F=5. The remaining spots 3 and 6 are for G and M. Since G is not a neighbor of F (position 5), G cannot be at 6. Thus G is at 3 and M is at 6.
Verify Positions
Positions: 1:L, 2:N, 3:G, 4:E, 5:F, 6:M, 7:D. Let's check constraints: F(5) is 3rd left of L(1) (Correct: 7,6,5). N(2) is 2nd left of E(4) (Correct: 3,2). L(1) is neighbor of D(7) and N(2) (Correct). G(3) is not neighbor of F(5) (Correct: 3 is not adjacent to 5).
Calculate Distance
The question asks for people between M and N counted from the right of M. M is at 6. Moving right from M in a circle means moving towards 7, 1, 2. The people between M(6) and N(2) are D(7) and L(1). There are 2 people.
A is incorrect because there is no 4-person gap. B is incorrect as there are not 3 people. C is incorrect as there is not only 1 person. Option D (Two) is the correct count of people.
D is correct because when we arrange the individuals as D-L-N-G-E-F-M (in a circle), counting from the right of M, the people between M and N are D and L, totaling two.
In circular arrangement problems, always draw a rough circle and map the positions relative to a fixed element to avoid confusion with left/right orientations.
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