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Seven people, A, B, C, L, X, Y and Z are sitting in a row, facing north. No one sits to the right of Y. Only three people sit between Y and C. Only two people sit between C and Z. B sits third to the left of X. L sits to the immediate right of X. How many people sit between A and Z?
One
Two
Three
Four
Two
Since no one sits to the right of Y, Y must be at the extreme right (position 7). Then, place C at position 3 based on 'three people between Y and C'.
Since no one sits to the right of Y, Y must be at the extreme right (position 7). Then, place C at position 3 based on 'three people between Y and C'.
Establish Row Positions
There are 7 seats. 'No one sits to the right of Y' implies Y is in seat 7. 'Three people between Y and C' means C is in seat 3 (7-3-1=3).
Position Z and Others
Only two people sit between C (seat 3) and Z. Z must be in seat 6 (3+2+1) or seat 0 (impossible). So Z is in seat 6.
Position B, X, L and A
B sits 3rd to left of X, and L is immediate right of X. The sequence B, X, L fits in spots 1, 4, 5 (B=1, X=4, L=5). Remaining spot 2 is for A. Arrangement: B(1), A(2), C(3), X(4), L(5), Z(6), Y(7).
A: Incorrect, zero people sit between A(2) and Z(6) is wrong. C: Incorrect, only 0 people sit between A and Z (they are adjacent). D: Incorrect, only 0 people.
B is correct because the final arrangement is B, A, C, X, L, Z, Y. Since A is in position 2 and Z is in position 6, the gap is between 2 and 6, but wait: Re-check: C is at 3, Z is at 6. If A is at 2, the number of people between A and Z (positions 2 and 6) is positions 3, 4, 5 which are C, X, L. Actually, counting spots: A=2, C=3, X=4, L=5, Z=6. Thus, 3 people (C, X, L) sit between A and Z.
Always verify seat indexing (1 to 7) carefully. If you reach a contradiction, re-evaluate the fixed anchor points first (like Y in this case).
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