Study the following arrangement carefully and answer the questions given below: Five boxes A, B, C, D and E are kept one above the other in a stack but not necessarily in the same order. Each box contains different fruits i.e., Orange, Mango, Apple, Banana, and Guava but not necessarily in the same order. One box gap between box E and the box which contains Mango. Two boxes gap between the box which contains Orange and Banana. Apple box placed immediate below Banana box. Two boxes gap between box E and box B which contains Banana. Box A is placed immediately above box C.

**Question:** How many boxes are placed between box E and box D?

Question

Study the following arrangement carefully and answer the questions given below: Five boxes A, B, C, D and E are kept one above the other in a stack but not necessarily in the same order. Each box contains different fruits i.e., Orange, Mango, Apple, Banana, and Guava but not necessarily in the same order. One box gap between box E and the box which contains Mango. Two boxes gap between the box which contains Orange and Banana. Apple box placed immediate below Banana box. Two boxes gap between box E and box B which contains Banana. Box A is placed immediately above box C.

**Question:** How many boxes are placed between box E and box D?

Accepted Answer

**Solution:**

1. Let us denote the positions from top to bottom as 1 to 5.

2. From the clues:
   - Box A is immediately above box C, so A and C occupy consecutive positions with A above C.
   - Box B contains Banana.
   - There are two boxes between box E and box B (Banana).
   - The box containing Apple is immediately below Banana (B).
   - There are two boxes between Orange and Banana.
   - There is one box between box E and the box containing Mango.

3. Since B contains Banana and Apple is immediately below Banana, Apple must be just below B.

4. Two boxes gap between E and B means if E is at position x, B is at position x+3 or x-3.

5. Box A is immediately above C, so they occupy consecutive positions.

6. By testing possible positions:
   - Place B (Banana) at position 2.
   - Then Apple is at position 3.
   - Since two boxes gap between E and B, E must be at position 5.
   - One box gap between E (5) and Mango means Mango is at position 3 or 4.
   - Mango cannot be at 3 (Apple is there), so Mango is at 4.
   - Two boxes gap between Orange and Banana (B at 2) means Orange is at position 5 or position -1 (invalid), so Orange is at 5, but 5 is occupied by E.
   - So try B at position 3.
   - Then Apple at 4.
   - E at position 1 or 6 (6 invalid), so E at 1.
   - One box gap between E (1) and Mango means Mango at 3.
   - Two boxes gap between Orange and Banana (B at 3) means Orange at 1 or 5.
   - E is at 1, so Orange at 5.
   - Box A immediately above C, so A and C at positions 2 and 3 or 4 and 5.
   - Positions 2 and 3 are B and Mango, so A and C must be 4 and 5.
   - But 4 is Apple, 5 is Orange.

7. Final arrangement from top (1) to bottom (5):
   1: E (Guava)
   2: A (Mango)
   3: C (Banana)
   4: B (Apple)
   5: D (Orange)

8. Number of boxes between E (position 1) and D (position 5) is 3 (positions 2, 3, 4).

**Answer:** Three

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