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.
How many folders are kept between folder F and folder G?
Correct Answer :
Two
Solution :
Correct Option: Two
Let us determine the exact arrangement of the seven folders stacked from top to bottom (Positions 7 to 1, where Position 1 is the bottommost level and Position 7 is the topmost level).
Step 1: Identify the fixed position provided in the question.
Folder D is positioned at the bottommost level (Position 1).
So far, the arrangement from top (7) to bottom (1) is:
Position 1: Folder D
Step 2: Use the relative position of folder F and folder C.
We are given that folder F is positioned somewhere above folder C, and there are exactly three folders between F and C.
This means the block of F and C occupies 5 contiguous positions in the form: F, _, _, _, C.
Since Position 1 is occupied by D, folder C cannot be at Position 1.
Also, folder B is located immediately below folder F, so folder B is directly below F (i.e., F, B, _, _, C).
Step 3: Consider the position of folder E.
We are given that folder C is placed directly above folder E. Therefore, folder E is placed immediately below folder C.
This creates a consecutive chain: F, B, _, C, E.
Since D is at Position 1, E cannot be below Position 2 because Position 1 is already taken by D. Thus, folder E must be at Position 2, folder C must be at Position 3, folder F must be at Position 7, and folder B must be at Position 6.
Let us verify the positions:
Position 7: Folder F
Position 6: Folder B
Position 5: Folder (Empty / G or A)
Position 4: Folder (Empty / G or A)
Position 3: Folder C
Position 2: Folder E
Position 1: Folder D
Step 4: Determine the positions of G and A.
We are told that the number of folders between B (Position 6) and G is equal to the number of folders between E (Position 2) and G.
Since G is placed between B and E, G must be placed exactly in the middle of Position 6 and Position 2.
The midpoint of Position 6 and Position 2 is Position 4.
Thus, Folder G is at Position 4.
Between B (Position 6) and G (Position 4), there is 1 folder (Position 5).
Between E (Position 2) and G (Position 4), there is 1 folder (Position 3).
This satisfies the given condition perfectly.
The remaining empty position (Position 5) is occupied by folder A.
Step 5: Final arrangement of folders from top (7) to bottom (1):
7: Folder F
6: Folder B
5: Folder A
4: Folder G
3: Folder C
2: Folder E
1: Folder D
Step 6: Answer the question.
We need to find how many folders are kept between folder F (Position 7) and folder G (Position 4).
The folders between F and G are folder B (Position 6) and folder A (Position 5).
Therefore, there are exactly Two folders between folder F and folder G.
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