1
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
$$\sim p \wedge(\sim q \wedge \sim r)$$
2
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.
3
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.
4
MHT CET 2021 24th September Evening Shift
+2
-0

If $$\mathrm{p}$$ : It is raining.

$$\mathrm{q}$$ : Weather is pleasant

then simplified form of the statement "It is not true, if it is raining then weather is not pleasant" is

A
It is not raining or weather is pleasant.
B
It is raining or weather is not pleasant.
C
It is raining or weather is not pleasant.
D
It is raining and the weather is pleasant.
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