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B, C, D, E, F, G and K are sitting around a circular table, facing the centre. Only two people sit between F and K when counted from the right of F. Only two people sit between K and C. Only three people sit between F and D. B sits to the immediate left of G. Who sits third to the left of E?
G
F
B
K
G
In a circular arrangement of 7 people, 'three people between X and Y' means they are diametrically opposite in a 7-seat setup (since 7/2 = 3.5). Use this to quickly anchor F, D, and the others.
In a circular arrangement of 7 people, 'three people between X and Y' means they are diametrically opposite in a 7-seat setup (since 7/2 = 3.5). Use this to quickly anchor F, D, and the others.
Setup Positions
With 7 seats (1-7), place F at 1. 'Two people to the right of F' means K is at position 4. 'Three people between F and D' means D is at position 5.
Place C and G/B
Two people between K(4) and C means C is at 1 or 7. Since F is at 1, C must be at 7. 'B left of G' implies they occupy adjacent empty spots. Only 2 and 3 are vacant, so G=2, B=3.
Final Filling
Remaining seat 6 is filled by E. The sequence clockwise: F(1), G(2), B(3), K(4), D(5), E(6), C(7). Facing center, 3rd left of E(6) is 6-3 = 3rd position = K.
B: C is 4th to the left of E. C: G is 4th to the right of E. D: D is 1st to the left of E.
A is correct because, in the established circular order F-G-B-K-D-E-C, the 3rd person to the left of E is K.
In circular arrangements with an odd number of people, 'X people between A and B' implies a fixed gap regardless of direction.
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