1
MHT CET 2022 11th August Evening Shift
+2
-0

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

A
$$F, T, F$$
B
$$F, F, T$$
C
$$T, T, F$$
D
$$F, T, T$$
2
MHT CET 2022 11th August Evening Shift
+2
-0

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

A
$$\sim p \wedge(q \wedge \sim r)$$
B
$$\sim p \wedge(q \wedge r)$$
C
$$\sim p \wedge(\sim q \wedge r)$$
D
$$\sim p \wedge(\sim q \wedge \sim r)$$
3
MHT CET 2022 11th August Evening Shift
+2
-0

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

A
The work is finished in time and the payment is not made or the payment is made and the work is finished in time.
B
The work is finished in time and the payment is not made.
C
The payment is made and the work is not finished in time.
D
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.
4
MHT CET 2021 24th September Evening Shift
+2
-0

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

A
$$\forall x \in N, x^2+x$$ is not an even number.
B
$$\forall x \in N, x^2+x$$ is not an odd number.
C
$$\exists x \in N$$ such that $$x^2+x$$ is an even number.
D
$$\exists x \in N$$ such that $$x^2+x$$ is not an even number.
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