Question 2 - Supercells - Chapter 3 Class 6 - Number Play (Ganita Prakash)

Transcript

Question 2 Fill the table below with only 4-digit numbers such that the supercells are exactly the coloured cells. A supercell is greater than both its neighbours. In the given table, the supercells are coloured. Neighbouring cells around the colored cells should have smaller numbers Cell 2 Since it is supercell ∴ Cell 2 > Cell 1 i.e. Cell 2 > 5346 & Cell 2 > Cell 3 So, we can assume Cell 2 = 6000 Cell 3 Since Cell 3 < Cell 2 & Cell 3 < Cell 4 Therefore, Cell 3 < 6000 Cell 3 < 1258 Since we can have only 4-digit numbers, Let’s assume Cell 3 = 1000 Cell 5 Since Cell 5 is not supercell, And Cell 4 is a super cell So, Cell 5 < Cell 4 i.e. Cell 5 < 1248 So, we can assume Cell 5 = 1001 Cell 6 Since Cell 6 is not supercell So, it cannot be bigger than both Cell 5 & Cell 7 Let’s assume Cell 6 > Cell 5 And Cell 6 < Cell 7 Now, Cell 6 > 1001 So, we can assume Cell 6 = 1002 Cell 7 Now, Cell 7 is not supercell And, we assumed Cell 7 > Cell 6 And, Cell 7 < Cell 8 So, 1002 < Cell 7 < 9635 So, we can assume Cell 7 = 1003 Hence, our final table looks like Cell 9 Since Cell 9 is supercell ∴ Cell 9 > Cell 8 So, Cell 9 > 9635 Since we want 4-digit number We assume Cell 9 = 9999