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 kept between folder F and folder G?

Options

A

Five

B

None

C

Four

D

One

E

Two

Show Answer

Correct Answer :

Option E

Two

Solution :

Correct Answer: Two

Let us determine the exact vertical arrangement of the seven folders (stacked from level 7 at the top to level 1 at the bottom) step-by-step based on the given clues:

1. Total Folders: There are 7 folders: A, B, C, D, E, F, and G.
2. Folder D's Position: "Folder D is positioned at the bottommost level."
So, Level 1 = D.

3. Relative positions of F and C: "There are exactly three folders between F and C, and folder F is positioned somewhere above folder C."
This means the vertical pattern from top to bottom is: F, _ , _ , _ , C.
4. Position of B: "Folder B is located immediately below folder F."
So the pattern becomes: F, B, _ , _ , C.

5. Position of E: "Folder C is placed directly above folder E."
Adding E to the pattern gives: F, B, _ , _ , C, E.

6. Placing the block of 6 folders (F, B, _ , _ , C, E):
Since Level 1 is occupied by D, the 6 consecutive levels from top to bottom must occupy Levels 7 down to 2.
- Level 7 = F
- Level 6 = B
- Level 5 = (Empty for now)
- Level 4 = (Empty for now)
- Level 3 = C
- Level 2 = E
- Level 1 = D

7. Placing G and A:
"The number of folders between B and G is equal to the number of folders between E and G."
- B is at Level 6.
- E is at Level 2.
The exact middle position between Level 6 (B) and Level 2 (E) is Level 4.
Therefore, G must be at Level 4.
- Between B (Level 6) and G (Level 4), there is 1 folder (at Level 5).
- Between E (Level 2) and G (Level 4), there is 1 folder (at Level 3).
This satisfies the condition perfectly!

8. Remaining Folder A:
The only remaining vacant position is Level 5, which must be occupied by folder A.

Final Stack Arrangement from Top (7) to Bottom (1):
- Level 7: F
- Level 6: B
- Level 5: A
- Level 4: G
- Level 3: C
- Level 2: E
- Level 1: D

Answering the Question:
We need to find how many folders are kept between folder F (Level 7) and folder G (Level 4).
The folders between F and G are folder B (Level 6) and folder A (Level 5).

Thus, there are exactly Two folders (B and A) between folder F and folder G.

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