MHT CET · Maths · Mathematical Reasoning
If \(A=\{2,3,4,5,6\}\), then which of the following statement has truth value 'false"
- 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.
Answer & Solution
Correct Answer
(B) \(\forall x \in A, x+6\) is divisible by 2
Step-by-step Solution
Detailed explanation
\(x+6\) is divisible by 2 only when \(x\) is even. Hence given statement is false.
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