AMU 2025 — Mathematics PYQ

 $\ast \text{ defined by }a\ast b=\frac{a+b}{2}\text{ is a binary operation on }\mathbb{Z}.$\\

$\ast \text{ defined by }a\ast b=\frac{a+b}{2}\text{ is a binary operation on }\mathbb{Q}.$\\

All binary commutative operations are associative.

Subtraction is a binary operation on N