Patterns in a Calendar

Transcript

Patterns in a CalendarLet us consider a calendar Finding other numbers in bigger grid (eg: 3 × 3) Let’s say we have to fill this grid Now, Number to left of 8 will be 7 (adding 1) Number to right of 8 will be 9 (adding 1) Number below 14 is 21 (adding 7) Number below 16 is 23 (adding 7) There are some patterns which we can observe in a calendar Like If taken a 2 × 2 grid, sum of diagonally opposite numbers is equal We can find other numbers if one number is given in 2 × 2 grid Similarly, we can take bigger grid and find numbers Let’s figure out all of them one by one If taken a 2 × 2 grid, sum of diagonally opposite numbers is equal Notice that 12 + 20 = 32 19 + 13 = 32 Similarly, 13 + 21 = 34 20 + 14 = 34 Thus, in a 2 × 2, sum of diagonally opposite number is equal Finding other numbers if one number is given in 2 × 2 grid Let’s say we have to find other numbers in the grid Now, we do all of them one by one • the number to the right of ‘a’ will be 1 more than it. • the number below ‘a’ will be 7 more than it. • the number diagonal to ‘a’ will be 8 more than it. So, our grid would be