Associative Law of Binary Operation

Q.

We say a binary operation ${}^{\ast }$ is associative when a ${}^{\ast }$ (b ${}^{\ast }$ c) = (a ${}^{\ast }$ b) ${}^{\ast }$ (a ${}^{\ast }$c)

1. True

2. False

Q. Consider a binary operation ∗ on N defined as a ∗ b =$a^3+b^3$ . Which of the following statement(s) is/are correct?

1. ∗ is both associative and commutative
2. ∗ is commutative but not associative
3. ∗ is associative but not commutative
4. ∗ is neither commutative nor associative