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Seven people, B, C, D, E, F, G and K are sitting in a straight line, facing north. Only five people sit between B and K. G sits to the immediate left of K. Only one person sits between G and E. D sits at some place to the left of F but at some place to the right of C. Who sits third from the left end of the line?
F
C
E
D
D
Start by fixing the positions of B and K using the extreme distance condition, then place G and E adjacent to K.
Start by fixing the positions of B and K using the extreme distance condition, then place G and E adjacent to K.
Step 1: Fix B and K
There are 7 people in a straight line. Only five people sit between B and K. This means B and K must occupy the extreme ends of the row (positions 1 and 7).
Step 2: Place G and E
G sits to the immediate left of K. Since K is at position 7, G sits at position 6. Only one person sits between G and E, so E must sit at position 4.
Step 3: Arrange C, D, and F
D sits to the left of F and to the right of C. The remaining unoccupied seats are 1, 2, and 3. Thus, C is at position 1, D is at position 2, and F is at position 3.
Step 4: Complete Seating and Identify 3rd from Left
The complete arrangement from left to right is C, D, F, E, B, G, K. The person sitting third from the left end is F.
A: C sits first from the left end, not third. B: D sits second from the left end, not third. C: E sits fourth from the left end, not third.
D is correct because F sits third from the left end in the verified linear arrangement (C, D, F, E, B, G, K).
In linear seating puzzles with definite end conditions (like 'five people between X and Y' in a line of seven), always fix the extreme positions first before placing intermediate neighbors.