Question

Let * be a binary operation on $Z$. If $a^* b=\left(a^2+b^3\right)^2$ where

$a, b \in Z$ then the value of $5^* 3$ is

(A) 1256

(B) 2704

(C) 64

(D) 34

Answer 1

SOLUTION : We have $a^* \mathrm{~b}=\left(\mathrm{a}^2+\mathrm{b}^3\right)^2 ; \mathrm{a}, \mathrm{b} \in \mathrm{Z}$

$\therefore 5^* 3=\left((5)^2+(C)^2=(25+27)^2=2704\right.$

Above Correct Answer is Option B.