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.

Which of the following folders is positioned directly above folder A?

Options

A

Folder B

B

Folder G

C

Folder F

D

None of these

E

Folder C

Show Answer

Correct Answer :

Option A

Folder B

Solution :

The correct option is Folder B.

Let us step-by-step determine the arrangement of the seven folders stacked from top to bottom (positions 1 to 7, where 7 is the bottommost position and 1 is the top position):

1. Folder D is at the bottommost level:
Position 7 = D.

2. Folder F is somewhere above C, and there are exactly three folders between F and C:
This means F and C are separated by 3 folders, so the difference in their position numbers is 4 (i.e., F is at position k and C is at position k + 4).
Since position 7 is occupied by D, C cannot be at position 7. Therefore, C must be at position 5 or 6.
- If C is at position 6, F would be at position 2.
- If C is at position 5, F would be at position 1.
Let us analyze these possibilities using the other clues.

3. Folder B is located immediately below folder F:
This means B is at position (F's position + 1).
- If F is at position 2, B is at position 3.
- If F is at position 1, B is at position 2.

4. Folder C is placed directly above folder E:
This means E is immediately below C (E's position = C's position + 1).
- If C is at position 6, E would have to be at position 7, but position 7 is already occupied by D. Hence, C cannot be at position 6.
- Therefore, C must be at position 5, which means E is at position 6.

Now we have established:
Position 1: F
Position 2: B
Position 5: C
Position 6: E
Position 7: D

5. The number of folders between B and G is equal to the number of folders between E and G:
Positions 1, 2, 5, 6, 7 are occupied by F, B, C, E, D respectively.
The remaining positions to be filled are Position 3 and Position 4, using folders G and A.
- If G is at position 3: distance between B (pos 2) and G (pos 3) is 0 folders. Distance between E (pos 6) and G (pos 3) is 2 folders (pos 4 and 5). These are not equal.
- If G is at position 4: number of folders between B (pos 2) and G (pos 4) is 1 (folder at pos 3). The number of folders between E (pos 6) and G (pos 4) is 1 (folder at pos 5). This satisfies the condition perfectly!

6. Placing folder A:
The only remaining vacant position is Position 3, which must be occupied by folder A.

Thus, the complete top-to-bottom arrangement of the folders is:
1. Folder F
2. Folder B
3. Folder A
4. Folder G
5. Folder C
6. Folder E
7. Folder D

Conclusion:
Looking at the arrangement, folder B is at position 2 and folder A is at position 3. Therefore, Folder B is positioned directly above folder A.

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