question_answer

Two numbers a and b are such that one is odd and the other is even. Which statement is necessarily true?

A) \[{{a}^{2b}}\]is even         

B) \[\left( a+b \right)\]is even

C) \[{{a}^{b}}\times {{b}^{a}}\]is even     

D)   \[{{a}^{2}}-{{b}^{2}}\]is even

E) None of these