If the remainders of two numbers on division by \( 7\) are \( 3\) and \( 5\) respectively, determine the remainder obtained when their (i) sum, (ii) difference, and (iii) product are divided by \( 7\).
 
Answer:
 
The remainder when their sum is divided by \(7\) \(=\) .
 
The remainder when their difference is divided by \(7\) \(=\) .
 
The remainder when their product is divided by \(7\) \(=\)