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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Seven boxes, A, B, C, D, E, F and G, are kept one over the other, but not necessarily in the same order. E is kept third from the bottom. G is kept immediately above E. Only two boxes are kept between G and A, but A is not kept in the lowermost position. B is kept immediately below A. Only two boxes are kept between C and F, and D is kept immediate below F. Which box is third from the top?
D
A
C
F
C
Map fixed positions first (E=3, G=4), then use the 'two boxes between' constraints to lock G-A and C-F pairs.
Map fixed positions first (E=3, G=4), then use the 'two boxes between' constraints to lock G-A and C-F pairs.
Establish Fixed Positions
E is 3rd from the bottom (Floor 3). G is immediately above E (Floor 4).
Place A and B
Two boxes between G (Floor 4) and A means A is at Floor 7 (since Floor 1 is excluded). B is immediately below A, so B is at Floor 6.
Place C, F, and D
Two boxes between C and F, and D is below F. Filling the remaining slots (1, 2, 5), C must be at Floor 5, F at Floor 2, and D at Floor 1.
A: D is 6th from the top (1st from bottom). B: A is 1st from the top. D: F is 5th from the top.
C is correct because arranging the boxes from bottom to top as D(1), F(2), E(3), G(4), C(5), B(6), A(7) places C in the 5th position from bottom, which is 3rd from the top.
In vertical arrangement puzzles, always represent the positions as a column and fill fixed constraints first to reduce the number of possible permutations.