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.
Explanation:
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
Number of stack = 120/20+220/20+300/20
= 6 +11 +15=32
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By: Munesh Kumari