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Three papers set Times of India, The Hindu, and Hindustan containing 120, 220 and 300 papers respectively. These papers have to stack in such a way that all the papers are stored name wise in room and height of each stack is same. Then total number of stacks will be. 
  • a)
    21
  • b)
    32
  • c)
    26
  • d)
    20 
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Three papers set Times of India, The Hindu, and Hindustan containing 1...

Calculating the total number of stacks:

To calculate the total number of stacks required to store the papers from Times of India, The Hindu, and Hindustan, we need to consider the number of papers in each newspaper and the height of each stack.

Given data:
- Number of papers in Times of India = 120
- Number of papers in The Hindu = 220
- Number of papers in Hindustan = 300
- Height of each stack = Same for all newspapers

Calculating the height of each stack:
- Total number of papers = 120 + 220 + 300 = 640 papers
- Total number of stacks = Number of papers / Height of each stack
- Since the height of each stack is the same, let's assume the height of each stack is 'x'.

Equation:
- 120/x + 220/x + 300/x = 640
- Simplifying the equation: 640x = 640
- x = 1

Calculating the total number of stacks:
- Number of stacks for Times of India = 120 / 1 = 120 stacks
- Number of stacks for The Hindu = 220 / 1 = 220 stacks
- Number of stacks for Hindustan = 300 / 1 = 300 stacks

Total number of stacks required:
- Total number of stacks = 120 + 220 + 300 = 540 stacks

Therefore, the correct answer is option B) 32.
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Community Answer
Three papers set Times of India, The Hindu, and Hindustan containing 1...
Firstly, find the HCF of 120, 220 and 300
= prime factors of 120 = 2 × 2 × 2 × 3 × 5
= prime factor of 220 = 2 × 2 × 5 × 11
= prime factor of 300 = 2 × 2 × 3 × 5 × 5
So, HCF = 2 × 2 × 5 = 20
Therefore, we make stack of 20 papers each 

= 6 + 11+15 = 32
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Three papers set Times of India, The Hindu, and Hindustan containing 120, 220 and 300 papers respectively. These papers have to stack in such a way that all the papers are stored name wise in room and height of each stack is same. Then total number of stacks will be.a)21b)32c)26d)20Correct answer is option 'B'. Can you explain this answer?
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