1
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If p : switch $\mathrm{S}_1$ is closed, q : switch $\mathrm{S}_2$ is closed then correct interpretation from the following circuit is

A

The lamp is always on

B

The lamp is always off

C

Symbolic form is $\mathrm{p} \vee(\sim \mathrm{p} \wedge \sim \mathrm{q}) \vee \mathrm{q}$

D

is equivalent to $\mathrm{p} \vee \mathrm{q}$

2
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Which of the following statement is a tautology?

A

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

B

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

C

$[(\sim q) \wedge p] \wedge q$

D

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

3
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $p, q, r, s$ are statements, where, $\mathrm{p}: \mathrm{A}^2-\mathrm{B}^2=(\mathrm{A}-\mathrm{B})(\mathrm{A}+\mathrm{B}) ; \mathrm{A}, \mathrm{B}$ are matrices, $A B \neq B A$

q: $5 \leq 5$

r: ${ }^8 \mathrm{C}_1+{ }^8 \mathrm{C}_2+{ }^8 \mathrm{C}_3+\ldots \ldots \ldots . .+{ }^8 \mathrm{C}_8=256$

s: Maximum value of ${ }^8 \mathrm{C}_{\mathrm{r}}$ is 70 then the statement from the following having truth value true is ….

A

$(\mathrm{p} \wedge \sim \mathrm{r}) \vee(\sim \mathrm{q} \wedge \sim \mathrm{s})$

B

$(\mathrm{p} \vee \sim \mathrm{q}) \leftrightarrow(\sim \mathrm{r} \rightarrow \mathrm{s})$

C

$(\mathrm{p} \leftrightarrow \mathrm{q}) \wedge(\sim \mathrm{p} \vee \sim \mathrm{q})$

D

$\quad(\mathrm{s} \vee \sim \mathrm{p}) \leftrightarrow(\sim \mathrm{p} \wedge \sim \mathrm{r})$

4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the truth value of the expression $[(p \vee q) \wedge(q \rightarrow r) \wedge(\sim r)] \rightarrow(p \wedge q)$ is False, then truth values of $p, q, r$ are respectively.

A

$\mathrm{T}, \mathrm{T}, \mathrm{T}$

B

$\mathrm{T}, \mathrm{F}, \mathrm{F}$

C

$F, F, F$

D

$F, T, T$

MHT CET Subjects
EXAM MAP