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Seven boxes, G, H, I, J, O, K, and L, are kept one over the other, but not necessarily in the same order. J is kept second from the bottom. Only three boxes are kept between J and I. K is kept at one of the positions below J. Only G is kept between I and L. H is kept at one of the positions above I. How many boxes are kept between O and K?
Three
Two
One
Four
One
Fix the anchor point (J at 2nd from bottom) and create a vertical stack. Use the 'only three boxes between J and I' to lock the entire structure.
Fix the anchor point (J at 2nd from bottom) and create a vertical stack. Use the 'only three boxes between J and I' to lock the entire structure.
Establish the base stack
There are 7 boxes. Position 1 is the bottom, 7 is the top. J is at 2. Three boxes are between J(2) and I, meaning I must be at 6 (2+3+1 = 6).
Place remaining boxes
K is below J(2), so K is at 1. G is between I(6) and L, so L must be at 4 and G at 5. Remaining boxes are O and H. Since H is above I(6), H must be at 7. This leaves O at 3.
Calculate the gap
The final order from top (7) to bottom (1) is: 7-H, 6-I, 5-G, 4-L, 3-O, 2-J, 1-K. O is at 3 and K is at 1. There is exactly one box (J) between O and K.
A: Incorrect, there are not three boxes between O and K. B: Incorrect, there are not two boxes between O and K. D: Incorrect, there are not four boxes between O and K.
C is correct because the final arrangement places O at position 3 and K at position 1, with box J (position 2) being the only box between them.
In vertical arrangement puzzles, always identify the 'fixed' anchor (e.g., J is 2nd from bottom) first to limit the number of possible scenarios.