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Questions
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1
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

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

A
$$p \vee q \vee \sim r$$
B
$$\mathrm{p} \wedge \mathrm{q} \wedge \sim \mathrm{r}$$
C
$$\sim p \vee q \wedge r$$
D
$$ \sim p \vee \sim q \vee \sim r$$
2
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The logical statement (p $$\to$$ q) $$\wedge$$ (q $$\to$$ ~p) is equivalent to

A
~p
B
p
C
q
D
~q
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If p $$\to$$ (~p $$\vee$$ q) is false, then the truth values of p and q are, respectively

A
T, F
B
F, F
C
F, T
D
T, T
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Negation of the statement $$\forall x \in R, x^2+1=0$$ is

A
$$\exists x \in R$$ such that $$x^2+1<0$$.
B
$$\exists x \in R$$ such that $$x^2+1 \neq 0$$.
C
$$\exists x \in R$$ such that $$x^2+1 \leq 0$$.
D
$$\exists \mathrm{x} \in \mathrm{R}$$ such that $$\mathrm{x}^2+1=0$$.
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