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 positioned directly above folder A?
Correct Answer :
Folder B
Solution :
The correct option is Folder B.
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 fixed positions
We are given that folder D is positioned at the bottommost level.
So, Position 1 = D.
Step 2: Use the clue about folders F and C
There are exactly three folders between F and C, and folder F is positioned somewhere above folder C.
This means the relative positions are: F, _, _, _, C.
Also, folder C is placed directly above folder E, so folder E immediately follows C.
Thus, the block looks like: F, _, _, _, C, E.
Since there are 7 positions in total and position 1 is occupied by D, let us check where this block can fit:
If E is at position 2, then C is at position 3, and F is at position 3 + 4 = 7.
Let us check this arrangement:
Position 7: F
Position 6: ?
Position 5: ?
Position 4: ?
Position 3: C
Position 2: E
Position 1: D
Step 3: Place folder B
We are told that Folder B is located immediately below folder F.
Since F is at position 7, B must be at position 6.
Now the arrangement is:
Position 7: F
Position 6: B
Position 5: ?
Position 4: ?
Position 3: C
Position 2: E
Position 1: D
Step 4: Place folder G and folder A
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 folder exactly midway between position 6 (B) and position 2 (E) is position 4.
Number of folders between position 6 and position 4 is 1 (position 5).
Number of folders between position 2 and position 4 is 1 (position 3).
Therefore, G must be at position 4.
The remaining vacant position is position 5, which must be occupied by folder A.
Final Stack Arrangement (from top to bottom):
Position 7: Folder F
Position 6: Folder B
Position 5: Folder A
Position 4: Folder G
Position 3: Folder C
Position 2: Folder E
Position 1: Folder D
Conclusion:
Looking at the arrangement, position 5 is occupied by Folder A, and position 6 directly above it is occupied by Folder B.
Therefore, Folder B is positioned directly above Folder A.
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