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D, E, F, G, L, M and N are sitting around a circular table facing the centre. E sits to the immediate right of D. Only three people sit between E and L when counted from the left of E. Only three people sit between D and G when counted from the left of D. N sits to the immediate right of M. How many people sit between F and M when counted from the left of M?
Two
Three
Four
One
Two
Fix the reference point (D) first and place people in order. Once D, E, L, and G are placed, use the remaining spots to fit M and N, then count clockwise for the answer.
Fix the reference point (D) first and place people in order. Once D, E, L, and G are placed, use the remaining spots to fit M and N, then count clockwise for the answer.
Initial Placement
Let the 7 people sit at positions 1 to 7 clockwise. Place D at position 1. Since E is to the immediate right of D, E is at 2 (facing centre).
Fixing positions for L and G
E is at 2. Counting 3 people to the left of E (anti-clockwise) means positions 1, 7, 6 are skipped, so L is at 5. Counting 3 people to the left of D (position 1, anti-clockwise) means positions 7, 6, 5 are skipped, so G is at 4.
Placing M, N, and F
Remaining spots are 3, 6, 7. We know N sits to the immediate right of M. The only adjacent empty spots are 6 and 7 (N at 7, M at 6). This leaves F at position 3.
Final Calculation
Positions: 1:D, 2:E, 3:F, 4:G, 5:L, 6:M, 7:N. To find the number of people between F (at 3) and M (at 6) counted from the left of M (clockwise): From M(6) towards F(3) clockwise: 7, 1, 2. The people at 7 and 1 (N and D) sit between them. That is two people.
B: Three is incorrect because only N and D are between M and F clockwise; C: Four is incorrect; D: One is incorrect.
A is correct because when the seven people are placed according to the conditions, the clockwise sequence from M is M(6) тЖТ N(7) тЖТ D(1) тЖТ E(2) тЖТ F(3), so there are two people (N and D) between M and F.
In circular arrangements, always define a '12 o'clock' position for the first person mentioned to simplify the relative counting of others.
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