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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. D is kept third from the bottom. Only one box is kept between F and A. Only three boxes are kept between G and E. B is kept immediately above F. E is kept on one of the positions above D. How many boxes are kept between E and C?
One
None
Two
Three
Two
Fix the position of D first (3rd from bottom), place B immediately above F, use the relation between F and A, then position E and G using the 3-box gap constraint.
Fix the position of D first (3rd from bottom), place B immediately above F, use the relation between F and A, then position E and G using the 3-box gap constraint.
Step 1: Position Box D
D is kept third from the bottom in the stack of 7 boxes, so D is at position 3.
Step 2: Position F, B, and A
B is kept immediately above F. Only one box is kept between F and A. Since E is above D, F and B can be placed at 4 and 5, leading to A at 2.
Step 3: Complete the Stack
With 3 boxes between G and E, and D being 3rd, E is at position 2, G at position 6, A at position 1, and C at the top (position 7). The final order from top to bottom is: C, G, B, F, D, E, A.
Step 4: Count between E and C
E is at position 2 and C is at position 7. The boxes between them are G, B, F, and D. Total count = 4 boxes, which corresponds to 'Four' (Option C).
A: One is incorrect as the count of boxes between E and C is 4. B: None is incorrect because 4 boxes are present between E and C. D: Two is incorrect since there are 4 boxes between E and C.
C is correct because exactly four boxes (G, B, F, D) are kept between E (position 2) and C (position 7).
In box puzzle questions, always start by fixing the absolute positions given in the clues (such as 'third from the bottom') before placing relative conditions.
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