Q82 / 180 · KCET 2008 · Mathematics

Which of the following is false ?

  • A
    Addition is commutative in
  • B
    Multiplication is associative in
  • Correct answer
    C
    If $a * b=a^{b}$ for all $a, b \in N$ then $*$ is commutative in
  • D
    Addition is associative in $\mathrm{N}$

Solution

Since, for the set of natural numbers with respect to addition, it is commutative and associative. Also, for the set of natural numbers with respect to multiplication, it is associative. Hence, option (c) is false.

Hence, the correct answer is option: 'C'.

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