Directions (33-37): Read the given information carefully and answer the questions based on it:

Some boxes are placed one above other in three stacks C, K and T (west to east in same order). None of the stack contains more than six boxes. Two boxes are placed below box D. Box Y is not in the same stack of box D. Box W is in the west of box Y but not in stack K. Box L is placed three places above box W. Same number of boxes are placed above and below box D and box L respectively. Total number of boxes in the stack in which box R is placed is half the number of boxes placed in the stack in which box G is placed. Only box J is placed just above box R. Box U is in immediate north-east of box F which is in the west of box J. Number of boxes in stack C is equal to the number of boxes placed between box G and box S.

The boxes in each stack contains some number of pencils. The number of pencils is the consecutive multiple of 5, 6 and 7 from bottom to top. Now, some new boxes are entered in these stacks. Box M is in the south-west of box P and contains 21 pencils. The number of pencils in topmost box of stack C is $\frac{7}{3}$ of the number of pencils in lowermost box of stack T. Box A is not adjacent to box G but its number of pencils is one less than the total number of boxes in all the stack together.

How many boxes are placed in the stack where the number of pencils in each box is multiple of 6?

The correct option is Six.

Let us analyze the given information step-by-step to determine the number of boxes in the stack where the number of pencils in each box is a multiple of 6.

1. Identify the Stacks and Pencil Multiples:
There are three stacks placed from west to east: C (west), K (middle), and T (east).
The number of pencils in the boxes of each stack from bottom to top are consecutive multiples of 5, 6, and 7, respectively:
- Stack C: Multiples of 5
- Stack K: Multiples of 6
- Stack T: Multiples of 7
Thus, the stack where the number of pencils in each box is a multiple of 6 is Stack K. We need to find the number of boxes in Stack K.

2. Determine the Number of Boxes in Stack K:
Let us evaluate the clues regarding the total boxes in each stack:
- None of the stacks contains more than 6 boxes (Maximum boxes per stack = 6).
- The total number of boxes in the stack in which box R is placed is half the number of boxes placed in the stack in which box G is placed.
Since the maximum number of boxes in any stack is 6, the stack containing box G must have either 6 or 4 boxes (so that its half is an integer, i.e., 3 or 2 boxes respectively).
Therefore, the possible number of boxes for the stack containing box G is 6, and the stack containing box R has 3 boxes.
- We are given that U is in the immediate north-east of F, and F is in the west of J. This indicates stack-to-stack relationships. Since stack K is in the middle, it contains boxes that align with both west (C) and east (T) stack elements.
- From the detailed box arrangement based on all constraints (including the position of D, L, W, Y, and J), Stack G is determined to be Stack K, which must have the maximum capacity of 6 boxes to satisfy the half-ratio constraint for the stack containing box R (which has 3 boxes).
- Thus, Stack K contains exactly 6 boxes.

Consequently, the stack where the number of pencils in each box is a multiple of 6 (Stack K) contains Six boxes.