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 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.
Which of the following statement is true?
Correct Answer :
No box is placed in east of box P
Solution :
Based on the provided information, let us reconstruct the arrangement of the boxes step-by-step:
Step 1: Determine the stack configuration and heights
There are three stacks: C, K, and T from West to East.
1. Two boxes are placed below box D, so D is at position 3 from the bottom.
2. Box W is in stack C (West of Y, not in K). Box L is 3 places above W (position of L = position of W + 3). Since the maximum height is 6, W must be at position 1 and L at position 4.
3. The number of boxes above D is equal to the number of boxes below L (which is 3). Since D is at position 3 and has 3 boxes above it, the stack containing D (stack K) has a total height of 6.
4. The height of stack C is equal to the number of boxes between G and S. Since C contains L at position 4, its height must be at least 4. If height of C is 4, then the number of boxes between G and S is 4, which means G and S are at positions 1 and 6 in stack K (height 6). This fits perfectly. Thus, stack C has a height of 4.
5. The stack height of R is half of G's stack height (6 / 2 = 3). Only J is placed above R, so J is at position 3 and R is at position 2 in stack T (height 3).
6. F is West of J (at height 3) in stack C, and U is immediate North-East of F (position 4 in stack K). Y is at position 1 in stack T.
Step 2: Placing new boxes and determining pencils
1. The pencils in stacks C, K, and T are consecutive multiples of 5, 6, and 7 respectively from bottom to top.
2. After adding new boxes: Box M has 21 pencils and is in the South-West of P. Since M has 21 pencils and T has multiples of 7, M is at position 3 in stack T. Since M is South-West of P, P must be in a stack to the East of M. However, T is the easternmost stack (C, K, T). Thus, no stack or box can be placed to the East of stack T where P resides.
Therefore, the statement "No box is placed in east of box P" is true.
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