100 chocolates are distributed amongst 11 students such that first child gets x1 chocolates, second child gets x2 chocolates and so on. If x0 = max(x1, x2, …., x11), then the smallest possible value of x0 is
Explanation:
x0 will be least when maximum out of x1, x2, …, x11 is least.
∴ We need to distribute chocolates such that the person receiving maximum chocolates gets the least number of chocolates. This is possible when everyone gets (almost) equal number of chocolates.
99 chocolates can be distributed equally such that each child gets 9 chocolates.
100 chocolates can be distributed such that 10 children get 9 chocolates each and the 11th child gets 10 chocolates.
∴ x0 = max(x1, x2, …., x11) = max(9, 9, …, 10) = 10
Least possible value of x0 = 10
Hence, 10.
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