If $A=\{2,3,4,5,6\}$, then which of the following statement has truth value 'false"

If $A=\{2,3,4,5,6\}$, then which of the following statement has truth value 'false"
  1. $\exists x \in A$, such that $(x-2) \in N$
  2. $\forall x \in A, x+6$ is divisible by 2
  3. $\exists x \in A$, such that $x+2$ is a prime number.
  4. $\exists x \in A$, such that $x^{2}+1$ is an even number.

Solution

$x+6$ is divisible by 2 only when $x$ is even. Hence given statement is false.

Asked in: MHT CET 2020 (20 Oct Shift 2)

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