MHT CET
Mathematics
Mathematical Reasoning
Previous Years Questions

The logical statement $$(\sim(\sim \mathrm{p} \vee \mathrm{q}) \vee(\mathrm{p} \wedge \mathrm{r})) \wedge(\sim \mathrm{q} \wedge \mathrm{r})$$ is equi...
If truth value of logical statement $$(p \leftrightarrow \sim q) \rightarrow(\sim p \wedge q)$$ is false, then the truth values of $$p$$ and $$q$$ are...
The statement pattern $$\mathrm{p} \rightarrow \sim(\mathrm{p} \wedge \sim \mathrm{q})$$ is equivalent to
If $$\mathrm{p}$$ and $$\mathrm{q}$$ are true statements and $$\mathrm{r}$$ and $$\mathrm{s}$$ are false statements, then the truth values of the stat...
The negation of the statement pattern $$\sim s \vee(\sim r \wedge s)$$ is equivalent to
The logical statement $$[\sim(\sim p \vee q) \vee(p \wedge r)] \wedge(\sim q \wedge r)$$ is equivalent to
The given circuit is equivalent to ...
Negation of the statement "The payment will be made if and only if the work is finished in time." Is
Let $$\mathrm{p}, \mathrm{q}, \mathrm{r}$$ be three statements, then $$[p \rightarrow(q \rightarrow r)] \leftrightarrow[(p \wedge q) \rightarrow r]$$ ...
If truth values of statements $$\mathrm{p}, \mathrm{q}$$ are true, and $$\mathrm{r}$$, $$s$$ are false, then the truth values of the following stateme...
The negation of the statement $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is
The logical statement (p $$\to$$ q) $$\wedge$$ (q $$\to$$ ~p) is equivalent to
If p $$\to$$ (~p $$\vee$$ q) is false, then the truth values of p and q are, respectively
Negation of the statement $$\forall x \in R, x^2+1=0$$ is
If $$p, q$$ are true statements and $$r$$ is false statement, then which of the following is correct.
p : It rains today q : I am going to school r : I will meet my friend s : I will go to watch a movie. Then symbolic form of the statement "If it does ...
Negation of $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is
The negation of a statement 'x $$\in$$ A $$\cap$$ B $$\to$$ (x $$\in$$ A and x $$\in$$ B)' is
The logical expression $$\mathrm{p} \wedge(\sim \mathrm{p} \vee \sim \mathrm{q}) \equiv$$
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