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Question: Answered & Verified by Expert
If $A=\{2,3,4,5,6\}$, then which of the following statement has truth value 'false"
MathematicsMathematical ReasoningMHT CETMHT CET 2020 (20 Oct Shift 2)
Options:
  • A $\exists x \in A$, such that $(x-2) \in N$
  • B $\forall x \in A, x+6$ is divisible by 2
  • C $\exists x \in A$, such that $x+2$ is a prime number.
  • D $\exists x \in A$, such that $x^{2}+1$ is an even number.
Solution:
1208 Upvotes Verified Answer
The correct answer is: $\forall x \in A, x+6$ is divisible by 2
$x+6$ is divisible by 2 only when $x$ is even. Hence given statement is false.

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