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What is the minimum number of chocolates that must be added to an existing batch of 220 chocolates, so that the total batch can equally be divided among 2, 5 and 7 persons?

What is the minimum number of chocolates that must be added to an existing batch of 220 chocolates, so that the total batch can equally be divided among 2, 5 and 7 persons? Correct Answer 60

Least common multiple of 2, 5 and 7 is 70. Number of chocolates must be a multiple of 70 to be divided in that way. Nearest number greater than 220 which is a multiple of 70 is 280. So, number of chocolates need to be added = 280 - 220 = 60. 

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