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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.
21
32
26
20
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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Noorbir Singh
Please explain why HCF and not LCM is taken in this question?
watch the lecture on LCM HCF for concept understanding.
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