Five boxes are arranged one above the other from top to bottom. Which of the following box is placed just below the box D?

Statement I: There are as many boxes below the box A as above the box E. Box B is placed below the box D but not just below.

Statement II: Box C is placed two places above the box E. More than one box is placed between the box A and box B. Box E and box D are not placed adjacent to each other.

Question

Five boxes are arranged one above the other from top to bottom. Which of the following box is placed just below the box D?

Statement I: There are as many boxes below the box A as above the box E. Box B is placed below the box D but not just below.

Statement II: Box C is placed two places above the box E. More than one box is placed between the box A and box B. Box E and box D are not placed adjacent to each other.

Accepted Answer

**Solution:**

We need to find which box is placed just below box D.

**Step 1: Analyze Statement I alone**
- There are as many boxes below box A as above box E.
- Box B is placed below box D but not just below.

From this, we know the relative positions of A and E in terms of boxes above and below, and that B is below D but not immediately below. However, this does not give a complete order or the exact position of D or the box just below it.

**Step 2: Analyze Statement II alone**
- Box C is placed two places above box E.
- More than one box is placed between box A and box B.
- Box E and box D are not adjacent.

This gives some relative positions but does not directly tell us the position of D or the box just below D.

**Step 3: Combine Statements I and II**

Let's denote the boxes from top (1) to bottom (5): positions 1, 2, 3, 4, 5.

- From Statement I: Number of boxes below A = number of boxes above E.
  Let position of A = x, then boxes below A = 5 - x.
  Let position of E = y, then boxes above E = y - 1.
  So, 5 - x = y - 1  =>  y = 6 - x.

- From Statement II: C is two places above E.
  So, position of C = y - 2.

- More than one box between A and B means at least two boxes between them.

- B is below D but not just below (from I).

- E and D are not adjacent (from II).

Try possible positions:

Assume A at position 2:
- Then y = 6 - 2 = 4, so E is at position 4.
- C is two places above E, so C is at position 2.

But A is at 2 and C is at 2, conflict.

Try A at position 1:
- y = 6 - 1 = 5, so E is at position 5.
- C is two places above E, so C is at position 3.

Positions so far:
1: A
3: C
5: E

More than one box between A and B:
- B cannot be at 2 (only one box between 1 and 2), so B must be at position 4.

B at 4.

B is below D but not just below (I):
- So D must be above B, but not immediately above (since B is below D but not just below).
- B is at 4, so D can be at 1 or 2 or 3.

Positions 1: A, 3: C, 4: B, 5: E
- D cannot be at 1 (A is there), so D can be at 2 or 3.

If D is at 2:
- Then box just below D (2) is at 3, which is C.

If D is at 3:
- Then box just below D (3) is at 4, which is B.

But B is below D but not just below (I), so D cannot be at 3.

Therefore, D is at 2, and the box just below D is at 3, which is C.

**Answer:** Box C

**Answer option:** Box C

Answer

Answer

Answer