Examine the details provided below and answer the following question:
Seven folders A, B, C, D, E, F, G are stacked one on top of another, but not necessarily in the same order.
Folder D is positioned at the bottommost level. Folder C is placed directly above folder E. The number of folders between B and G is equal to the number of folders between E and G. Folder B is located immediately below folder F. There are exactly three folders between F and C, and folder F is positioned somewhere above folder C.
Which of the folders is positioned at the very top?
Correct Answer :
Folder F
Solution :
The correct option is Folder F.
Let us solve the puzzle step-by-step to find the arrangement of the seven folders from top to bottom (positions 7 to 1, where 1 is the bottommost position and 7 is the topmost position).
Step 1: Identify the position of Folder D.
It is given that Folder D is positioned at the bottommost level.
Position 1 = D
Step 2: Determine the positions of Folder F and Folder C.
We are given:
- Folder C is placed directly above folder E (i.e., C is directly on top of E).
- Folder F is located immediately below folder A? No, folder B is located immediately below folder F (i.e., F is directly above B).
- There are exactly three folders between F and C, and folder F is positioned somewhere above folder C.
So the relative block from F to E looks like: F, B, _, _, C, E.
This block consists of 6 folders in total!
Step 3: Place the 6-folder block into the 7 available spots.
Since Position 1 is already occupied by D, the 6 folders (F, B, x, y, C, E) must occupy Positions 7 to 2.
Let us assign the positions from 7 (top) to 1 (bottom):
Position 7 = F
Position 6 = B
Position 5 = Folder x
Position 4 = Folder y
Position 3 = C
Position 2 = E
Position 1 = D
Step 4: Place the remaining folders (A and G).
We are given that the number of folders between B and G is equal to the number of folders between E and G.
B is at Position 6 and E is at Position 2.
The exact midpoint between Position 6 and Position 2 is Position 4.
Therefore, G must be at Position 4 (leaving 1 folder, at position 5, between B and G, and 1 folder, at position 3, between E and G).
Position 4 = G.
The remaining folder is A, which must occupy Position 5.
Step 5: Final arrangement from top to bottom:
Position 7 (Top): Folder F
Position 6: Folder B
Position 5: Folder A
Position 4: Folder G
Position 3: Folder C
Position 2: Folder E
Position 1 (Bottom): Folder D
Thus, Folder F is positioned at the very top.
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