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Seven people, A, B, C, L, X, Y and Z are sitting in a row, facing north. Only three people sit between B and L. C sits to the immediate left of L. No one sits to the right of Y. Only two people sit between Y and C. Z sits to the immediate right of A. How many people sit between X and Z?
Two
Three
Four
One
Two
Fix the anchor point 'Y' at the extreme right end (since no one is to its right), then use the relative positions of C, L, and B to fill the remaining seats from right to left.
Fix the anchor point 'Y' at the extreme right end (since no one is to its right), then use the relative positions of C, L, and B to fill the remaining seats from right to left.
Establishing Constraints
There are 7 positions (1, 2, 3, 4, 5, 6, 7 from left to right). 'No one sits to the right of Y' means Y is at position 7. 'Only two people sit between Y and C' implies C is at position 4 (7 - 3 = 4).
Placing L and B
'C sits to the immediate left of L' means L is at position 5. 'Only three people sit between B and L' means B must be at position 1 (5 - 4 = 1).
Placing A and Z
'Z sits to the immediate right of A' means they occupy adjacent spots (A, Z). The remaining empty spots are 2, 3, and 6. Placing A at 2 and Z at 3 fulfills the condition, leaving X at position 6.
Final Seating Order
The order is: 1:B, 2:A, 3:Z, 4:C, 5:L, 6:X, 7:Y. The number of people between X (position 6) and Z (position 3) are at positions 4 and 5 (C and L), which is exactly two people.
B: Incorrect, as only two, not three, people sit between X and Z. C: Incorrect, as four is not the calculated number. D: Incorrect, as the logic dictates exactly two people between them.
A is correct because the final arrangement B-A-Z-C-L-X-Y places X at position 6 and Z at position 3, with exactly two people (C and L) sitting between them.
When solving row puzzles, always identify the 'boundary' person (someone like Y, who sits at the extreme end) first to drastically reduce the number of possible permutations.
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