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Seven boxes, A, Z, W, O, P, Q and L are kept one over the other but not necessarily in the same order. Q is kept immediately above A. O is kept immediately above W. Only L is kept above Z. Only two boxes are kept above Q. O is not kept at the third position from the bottom. How many boxes are kept between P and L?
1
3
5
2
3
Quick Trick: Fix the anchor clues first: Z is at Pos 6 because only L is above it (Pos 7). Then Q is 3rd from top (Pos 5) with A below it (Pos 4). Work down to place O, W, and P instantly.
Fix the anchor clues first: Z is at Pos 6 because only L is above it (Pos 7). Then Q is 3rd from top (Pos 5) with A below it (Pos 4). Work down to place O, W, and P instantly.
Fix Top Positions
Since there are 7 boxes (numbered 1 at bottom to 7 at top), the clue Only L is kept above Z means L is at the top position (Pos 7) and Z is directly below it at Pos 6.
Place Q and A
Only two boxes are kept above Q means Q is at Pos 5 (with L and Z above it). Since Q is kept immediately above A, A must be placed at Pos 4.
Place O, W, and P
The remaining empty positions are Pos 3, Pos 2, and Pos 1. O is kept immediately above W, so the pair (O, W) must take two adjacent spots. O is not kept at the third position from the bottom (Pos 3 is excluded for O), so O must be at Pos 3 from top (which is Pos 3 relative to total stack) and W at Pos 2. This leaves O at Pos 3, W at Pos 2, and P at Pos 1 at the very bottom.
Count Boxes Between P and L
The complete top-to-bottom arrangement is Pos 7: L, Pos 6: Z, Pos 5: Q, Pos 4: A, Pos 3: O, Pos 2: W, Pos 1: P. The boxes between P (Pos 1) and L (Pos 7) are Z, Q, A, O, W, which gives a count of exactly 5 boxes.
A: Incorrect (1 box is between L and Q, not P and L). B: Incorrect (3 boxes is a miscount between non-adjacent positions). D: Incorrect (2 boxes is between L and A).
C is correct because the 7-box arrangement from top to bottom is L, Z, Q, A, O, W, P, resulting in exactly 5 boxes (Z, Q, A, O, W) placed between P and L.
In vertical box puzzles, convert absolute clues ('Only 2 boxes above Q') into fixed numerical positions first (7 - 2 = Position 5) before evaluating block pair conditions.