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Question 3 Fill the table below such that we get as many supercells as possible. Use numbers between 100 and 1000 without repetitions.Before filling, let’s see how many super cells are possible Now, Both edge cells could be super cell – i.e. Cell 1 and 9 Since 1 and 9 are super cell, Cell 2 and Cell 8 cannot be supercell Cell 3 can be a supercell Then, Cell 4 cannot be. But, Cell 5 can be a supercell Now, Cell 6 cannot be. But Cell 7 can be a supercell Now, filling For filling, we need to use numbers between 100 and 1000 without repetitions. Now, Cell 1 can be 101, and Cell 2 can be 100 Since Cell 3 is supercell, Cell 3 > 100, and Cell 3 > Cell 4 Let’s assume Cell 3 = 110 Similarly, we can fill Cells 5 to 9 Thus, our answer is

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo