Assignment:
Q1. Find the least non-negative residue of:
(i) 5^18 mod 11;
(ii) 4^47mod 12;
Q2. Show that 11 divides 10a+b if and only if 11 divide a - b. Use this to show that 11 divides 232595.
Q3. Find the lease non-negative residues mod 7, 11 and 13 of 58473625.
Provide complete and step by step solution for the question and show calculations and use formulas.