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Seven boxes, A, D, J, K, M, O and S are kept one over the other but not necessarily in the same order. Only one box is kept between K and J. D is kept immediately above O. Only one box is kept between D and K. A is kept immediately above M. D is kept immediately below M. J is placed on one of the positions below M. A is placed at the top. Which box is kept between K and J?
D
A
S
O
S
Quick Trick: Start from fixed top position (A at Position 7). M is immediately below A, D is immediately below M, and O is immediately below D. This locks positions 7 down to 4 instantly: A-M-D-O. Then fit K, S, J into remaining positions 3, 2, 1 ...
Start from fixed top position (A at Position 7). M is immediately below A, D is immediately below M, and O is immediately below D. This locks positions 7 down to 4 instantly: A-M-D-O. Then fit K, S, J into remaining positions 3, 2, 1 using '1 box between D and K' and '1 box between K and J'.
Establish Top-Down Fixed Positions
We have 7 positions (from Top/Position 7 to Bottom/Position 1). 'A is placed at the top' fixes A at Position 7. 'A is kept immediately above M' fixes M at Position 6. 'D is kept immediately below M' fixes D at Position 5. 'D is kept immediately above O' fixes O at Position 4.
Determine Position of Box K
We are given 'Only one box is kept between D and K'. Since Position 5 is D, placing K above D is impossible (Positions 7 and 6 are occupied by A and M). Thus, K must be placed below D with 1 gap, which puts K at Position 3 (leaving Position 4 for O).
Determine Positions of Box J and Remaining Box S
We are given 'Only one box is kept between K and J' and 'J is placed on one of the positions below M'. Since K is at Position 3, J must be at Position 1 (1 box gap). The only remaining unoccupied position is Position 2, which must be filled by Box S.
Identify the Box Between K and J
The completed order from Top to Bottom (7 to 1) is: 7: A, 6: M, 5: D, 4: O, 3: K, 2: S, 1: J. Box K is at Position 3 and Box J is at Position 1. Therefore, Box S is kept directly between K and J at Position 2.
A: Box D is at Position 5, above Box O. B: Box A is at Position 7 at the top. D: Box O is at Position 4, directly between D and K.
C is correct because Box K is at Position 3 and Box J is at Position 1, placing Box S at Position 2 directly between K and J.
In box-stacking puzzles, lock definite immediate-neighbors (e.g., A immediately above M, D immediately below M) as a continuous block first before placing conditional gaps.