Question

Let $Q$ be a non empty subset of $N$ and $q$ is a statement as given below :
$q:$ There exists an even number $a\in Q$ Negation of the statement $q$ will be :

• A. There is no even number in the set $Q$
• B. Every $a\in Q$ is an odd number.
• C. $\left(a\right)$ and $\left(b\right)$ both
• D. None of these

Answer 1

The correct option is A There is no even number in the set $Q$

Let $Q$ be a non empty subset of $N$ and $q.$ There exists even number $a\in Q$ negation of statement $q.$ There does not exist a even number in set Q.

Hence, the answer is there is no even number in the set $Q.$