MHT CET 2022 11th August Evening Shift | Mathematical Reasoning Question 58 | Mathematics

If $$p: \forall n \in I N, n^2+n$$ is an even number $$q: \forall n \in I N, n^2-n$$ is an odd numer, then the truth values of $$p \wedge q, p \vee q$$ and $$p \rightarrow q$$ are respectively

$$F, T, F$$

$$F, F, T$$

$$T, T, F$$

$$F, T, T$$

MHT CET 2022 11th August Evening Shift

MCQ (Single Correct Answer)

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The negation of the statement pattern $$p \vee(q \rightarrow \sim r)$$ is

$$\sim p \wedge(q \wedge \sim r)$$

$$\sim p \wedge(q \wedge r)$$

$$\sim p \wedge(\sim q \wedge r)$$

$$\sim p \wedge(\sim q \wedge \sim r)$$

MHT CET 2022 11th August Evening Shift

MCQ (Single Correct Answer)

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The negation of the statement, "The payment will be made if and only if the work is finished in time" is

The work is finished in time and the payment is not made or the payment is made and the work is finished in time.

The work is finished in time and the payment is not made.

The payment is made and the work is not finished in time.

Either the work is finished in time and the payment is not made or the payment is made and the work is not finished in time.

MHT CET 2021 24th September Evening Shift

MCQ (Single Correct Answer)

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The negation of '$$\forall x \in N, x^2+x$$ is even number' is

$$\forall x \in N, x^2+x$$ is not an even number.

$$\forall x \in N, x^2+x$$ is not an odd number.

$$\exists x \in N$$ such that $$x^2+x$$ is an even number.

$$\exists x \in N$$ such that $$x^2+x$$ is not an even number.

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