Question

Draw the multiplication table of 3,5,7,9 in modulo 12.
From the table calculate i) (3×5) ×(5×9)
ii) (5×9) × (7×9)

Answer 1

Given :   {3, 5, 7, 9}

To Find :  Draw the multiplication table in Modulo 12

Solution:

       3         5         7         9

3      9        15        21        27

5      15       25      35       45

7      21       35      40        63

9     27       45      63        81

Now using Modulo 12  

9  Modulo 12   = 9

15 Modulo 12   = 3

21 Modulo 12   = 9

27 Modulo 12   = 3

25 Modulo 12   = 1

35 Modulo 12   = 11

45 Modulo 12   = 9

40 Modulo 12   = 4

63 Modulo 12   = 3

81 Modulo 12   = 9

multiplication table on p=(3, 5, 7, 9) in modulo 12

       3         5         7         9

3      9         3         9        3

5      3         1         11        9

7      9        11         4         3

9      3         9         3        9

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