Question Details

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?

Options

A

None

B

Five

C

Three

D

Two

E

Four

Show Answer

Correct Answer :

Option E

Four

Solution :

Correct Option: Four

Let's step through the logical placement of all seven folders (numbered 1 to 7 from bottom to top, where position 1 is the bottommost level and position 7 is the topmost level).

Step 1: Determine the bottommost folder.
We are given that folder D is positioned at the bottommost level.
• Position 1: D

Step 2: Analyze the conditions for F, C, and E.
• Folder C is placed directly above folder E (so E is immediately below C).
• There are exactly three folders between F and C, and F is somewhere above C.
This creates a block of folders from F down to E:
F, [folder], [folder], [folder], C, E.

This block requires 6 consecutive vertical positions in total.
Since there are 7 positions available and position 1 is occupied by D, these 6 positions must occupy positions 2 to 7!
Thus, the positions are assigned as follows:
• Position 7: F
• Position 6: [folder]
• Position 5: [folder]
• Position 4: [folder]
• Position 3: C
• Position 2: E

Step 3: Position B and G.
• Folder B is located immediately below folder F. Since F is at position 7, B must be at position 6.
• Position 6: B

Now, let's verify the condition: "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 middle position between position 6 and position 2 is position 4.
Number of folders between 6 and 4 is 1 (position 5).
Number of folders between 2 and 4 is 1 (position 3).
Therefore, G must be placed at position 4.
• Position 4: G

Step 4: Place the remaining folder A.
The only empty spot left is position 5.
• Position 5: A

Final Stack Order (from top to bottom):
Position 7: F
Position 6: B
Position 5: A
Position 4: G
Position 3: C
Position 2: E
Position 1: D

Conclusion:
Folder A is located at position 5. The folders positioned below folder A are G (position 4), C (position 3), E (position 2), and D (position 1), making a total of 4 folders.

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