Directions (14-15): Study the information carefully and answer the questions given below.

Five boxes are placed one above the other in a stack. Box A is placed adjacent to box D. Box E is placed above box C but not on the topmost position. Box D is not placed adjacent to box B. If box F is added to the stack, then the box F is placed below the box B. All the boxes contain different numbers of pencils in a consecutive multiple of 6 from bottom to top. Box A contains 36 pencils and does not place at odd numbered position when counts from the top. More than two boxes are placed above the box D. Total number of pencils is not more than 198. Neither box E nor box F is kept adjacent to box D.

How many boxes are placed between box D and box B?

The correct answer is Three.

Let us determine the step-by-step arrangement of the five boxes in the stack from top to bottom. We can number the positions from 1 (topmost) to 5 (bottommost):

Step 1: Determine the positions of Box A and Box D
- We are given that Box A does not place at an odd-numbered position when counted from the top. Thus, Box A must be at an even position: either 2 or 4.
- More than two boxes are placed above Box D, which means Box D can only be at position 4 or 5.
- Box A is placed adjacent to Box D. If Box A were at position 2, Box D (at 4 or 5) could not be adjacent to it. Therefore, Box A must be at position 4.
- Since Box A is at position 4 and is adjacent to Box D, and Box D must be at 4 or 5, Box D must be at position 5.

Step 2: Determine the positions of Box E and Box C
- The remaining open positions are 1, 2, and 3.
- Box E is placed above Box C, but Box E is not at the topmost position (position 1).
- Therefore, Box E must be at position 2, and Box C must be at position 3.

Step 3: Determine the position of Box B
- The only remaining position in the stack is position 1, which must be occupied by Box B.

Final Stack Arrangement (from top to bottom):
1. Box B
2. Box E
3. Box C
4. Box A
5. Box D

Now, let's count the number of boxes between Box D (at position 5) and Box B (at position 1):
The boxes between them are Box E (2), Box C (3), and Box A (4). Thus, there are exactly three boxes placed between Box D and Box B.