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# Systematic Listing

Number puzzle is considered to be one of the unique games in mathematics. These types of games create more interest and involvement to learn mathematics in a very easy manner.

Systematic Listing

Number puzzle is considered to be one of the unique games in mathematics. These types of games create more interest and involvement to learn mathematics in a very easy manner.

It is very happy to note that most of the number puzzles contain the basic knowledge of mathematics.

Here is a game of number puzzle with a systematic rule and with a specific property.

i. Choose any one number

ii. Add the next number to this

iv. Divide by 2

v. And then subtract the assumed number

vi. Answer 5 (common for all)

Let us know The above diagram (grid) shows rows and columns, horizontal squares are called Rows vertical squares are called Columns.

Example 1

3×3 Sudoku

The object is to fill all empty squares so that the numbers 1 to 3 appear once in a row and column. [Answer: (1 2 3), (1 3 2), (2 1 3), (2 1 3), (3 1 2)]

Try this

In how many ways can we arrange the numbers 1 to 3 in first Row? 6 ways

Example 2

4×4 Sudoku Try it In how many ways can we arrange the numbers from 1 to 4 in first row? 24 ways

Let us know

5, 3, 2= 15 10 22

9, 2, 4= 18 36 52

8, 6, 3= 48 24 66

5, 4, 5= 20 25 41

therefore 7, 2, 5 = ?

Hint:

(i) Multiply of 1st and 2nd numbers 7 × 2 = 14

(ii) Multiply of 1st and 3rd numbers 7 × 5 = 35

(iii) Add the 2 products and subtract the middle number = 14+35=49–2=45

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