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.

What is the sum of the numbers of pencils of box E and box F?

Based on the provided constraints, we can determine the step-by-step arrangement of the boxes and the number of pencils in each box.

Step 1: Determine the positions of the boxes in the stack
Let the positions of the 5 boxes in the stack be numbered from 1 (bottom-most) to 5 (top-most):
- 5 (Top)
- 4
- 3
- 2
- 1 (Bottom)

We are given the following conditions for placement:
1. More than two boxes are placed above box D. This means D can be at position 1 or 2.
2. Box A is adjacent to box D.
3. Box A is not placed at an odd-numbered position when counted from the top (i.e., A must be at an even position from the top, which are positions 2 or 4 from the top, corresponding to positions 4 or 2 from the bottom).

Let's analyze the placement of D:
- If D is at position 2, box A (being adjacent to D) must be at position 1 or 3. Both 1 and 3 are odd-numbered positions from the top (5th and 3rd respectively), which violates condition 3.
- Therefore, D must be at position 1 (bottom). Consequently, box A must be at position 2 (which is 4th from the top, an even position).

Now we place the remaining boxes (B, C, and E) in the empty positions 3, 4, and 5:
1. Box E is placed above box C but not on the topmost position (position 5). Thus, E must be at position 4, and C must be at position 3.
2. The remaining position 5 (top) must be occupied by box B.

Thus, the stack from top to bottom is:
- Position 5: Box B
- Position 4: Box E
- Position 3: Box C
- Position 2: Box A
- Position 1: Box D

Step 2: Assign the number of pencils to each box
All the boxes contain different numbers of pencils in consecutive multiples of 6 from bottom to top, and box A contains 36 pencils.
Since A is at position 2 and has 36 pencils, the consecutive multiples of 6 from bottom to top are:
$\text{Box D (Position 1)}=30\text{pencils}$
$\text{Box A (Position 2)}=36\text{pencils}$
$\text{Box C (Position 3)}=42\text{pencils}$
$\text{Box E (Position 4)}=48\text{pencils}$
$\text{Box B (Position 5)}=54\text{pencils}$
Thus, Box E contains 48 pencils.

Step 3: Find the number of pencils in Box F
When box F is added to the stack, it is placed below box B. Since the boxes must contain consecutive multiples of 6 and neither E nor F is adjacent to D, F is assigned the lowest consecutive multiple of 6 in the sequence, which is 12 pencils.

Step 4: Calculate the sum of pencils in Box E and Box F
The sum of the pencils in box E and box F is:
$48+12=60\text{pencils}$