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 following folders is placed immediately above folder E?
Correct Answer :
Folder C
Solution :
The correct option is Folder C.
Step-by-Step Logic and Explanation:
Let us determine the exact 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).
1. Position of D:
According to the problem statement, folder D is positioned at the bottommost level.
So, Position 1 = D.
2. Positions of F, C, and E:
We are given that folder B is located immediately below folder F, which means F and B are together as (F, B).
There are exactly three folders between F and C, and folder F is positioned somewhere above folder C.
This gives the structure: F _ _ _ C.
Also, folder C is placed directly above folder E, so E is immediately below C. This gives: F _ _ _ C E.
Counting the positions spanned by F to E: F (1st), three folders (2nd, 3rd, 4th), C (5th), E (6th). This requires 6 contiguous spots.
3. Placing F, C, E in the stack:
Since position 1 is occupied by D, the 6 spots for F _ _ _ C E must occupy positions 7 down to 2.
Therefore:
Position 7 = F
Position 6 = B (since B is immediately below F)
Position 3 = C
Position 2 = E
4. Placing remaining folders (A and G):
The remaining positions to be filled are Position 5 and Position 4.
We are given 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 must be equidistant from position 6 (B) and position 2 (E), G must be placed at the middle position between 6 and 2, which is position 4:
Thus, Position 4 = G.
There is 1 folder between B (6) and G (4), and 1 folder between E (2) and G (4), satisfying the condition.
5. Final folder A:
The only remaining empty spot, Position 5, must be filled by folder A.
So, Position 5 = A.
Complete Stack from Top to Bottom (7 to 1):
7: Folder F
6: Folder B
5: Folder A
4: Folder G
3: Folder C
2: Folder E
1: Folder D
Conclusion:
Looking at the stack, the folder placed immediately above folder E (Position 2) is Folder C (Position 3).
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