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 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 there in the stack where the number of pencils in each box is a multiple of 6?

Question

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 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 there in the stack where the number of pencils in each box is a multiple of 6?

Accepted Answer

**Solution:**

1. The question states that pencils in boxes are multiples of 5, 6, and 7 in stacks T, K, and C respectively.

2. From the given data:
   - Stack C has boxes with pencils: 14, 21, 28, 35 (multiples of 7)
   - Stack K has boxes with pencils: 6, 12, 18, 24, 30, 36 (multiples of 6)
   - Stack T has boxes with pencils: 15, 20, 25 (multiples of 5)

3. Counting the boxes in each stack:
   - Stack C: 4 boxes
   - Stack K: 6 boxes
   - Stack T: 3 boxes

4. The question asks for the number of boxes in the stack where pencils are multiples of 6, which is Stack K.

**Answer:** Six![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759770377/aptidude_questions/zyqd0iir2fug7tiryxmk.png)

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