(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 \((9 \otimes 5) \otimes (10 \otimes 10)\);
(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.


(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



