(a) Copy and complete the following table for multiplication modulo 11. \(\otimes\) 1 5 9 10 1 1 5 9 10 5 5 9 9 10 10 Use the table to : (i) evaluate \((9 \...

(a) Copy and complete the following table for multiplication modulo 11.

Use the table to : (i) evaluate \((9 \otimes 5) \otimes (10 \otimes 10)\);

(ii) find the truth set of :(1) \(10 \otimes m = 2\);  (2) \(n \otimes n = 4\)

(b) When a fraction is reduced to its lowest term, it is equal to \(\frac{3}{4}\). The numerator of the fraction when doubled would be 34 greater than the denominator. Find the fraction.