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 positioned below folder A?Correct Answer :
Four
Solution :
Correct Answer: The correct option is Four.
Let us determine the exact arrangement of the seven folders stacked from top to bottom, labeled 7 (top) to 1 (bottom).
Step 1: Use the fixed position of Folder D.
According to the given details, folder D is positioned at the bottommost level.
Position 1 = D.
Step 2: Determine the positions of F, C, and E.
- Folder F is positioned somewhere above folder C with exactly three folders between F and C.
- Folder C is placed directly above folder E (i.e., C is immediately above E).
This means the block of folders involving F, C, and E has the relative structure:
F, [folder], [folder], [folder], C, E.
This block spans 6 positions in total.
Since position 1 is occupied by D, the only possible positions for this 6-folder block (positions 2 to 7) are:
- Position 7 = F
- Position 6 = folder
- Position 5 = folder
- Position 4 = folder
- Position 3 = C
- Position 2 = E
Step 3: Determine the position of B.
Folder B is located immediately below folder F.
Since Position 7 is F, Position 6 must be B.
Step 4: Determine the position of G.
The number of folders between B and G is equal to the number of folders between E and G. This means G must be located exactly halfway between B (Position 6) and E (Position 2).
The position equidistant from 6 and 2 is:
So, Position 4 = G.
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).
Step 5: Place the remaining folder A.
The only remaining unoccupied position is Position 5, so folder A must be placed at Position 5.
Final Arrangement (Top to Bottom):
Position 7: F
Position 6: B
Position 5: A
Position 4: G
Position 3: C
Position 2: E
Position 1: D
Step 6: Answer the question.
Folder A is located at Position 5.
The folders positioned below folder A are G, C, E, and D, which total 4 folders.
Hence, there are exactly Four folders positioned below folder A.
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