1
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

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

A
$p \rightarrow q \wedge r$
B
$\quad(\mathrm{q} \wedge \mathrm{r}) \rightarrow \mathrm{p}$
C
$\sim \mathrm{q} \vee \sim \mathrm{r} \rightarrow \mathrm{p}$
D
$\quad(\mathrm{r} \vee \sim \mathrm{q}) \rightarrow \sim \mathrm{p}$
2
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$p:$ If 7 is an odd number then 7 is divisible by 2 .

q : If 7 is prime number then 7 is an odd number. If $V_1$ and $V_2$ are respective truth values of contrapositive of p and q then $\left(\mathrm{V}_1, \mathrm{~V}_2\right) \equiv$

A
$(\mathrm{T}, \mathrm{T})$
B
$(\mathrm{T}, \mathrm{F})$
C
$(\mathrm{F}, \mathrm{T})$
D
$(F, F)$
3
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $p$ : switch $S_1$ is closed, $q$ : switch $S_2$ is closed, $r$ : switch $S_3$ closed, then the symbolic form of the following switching circuit is equivalent to

Switching Circuit:

MHT CET 2025 22nd April Evening Shift Mathematics - Mathematical Reasoning Question 13 English

A
$\mathrm{p} \wedge(\mathrm{q} \vee \mathrm{r})$
B
$q \vee r$
C
p
D
$\quad(\sim \mathrm{q} \wedge \sim \mathrm{r})$
4
MHT CET 2025 22nd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the truth value of the statement pattern $[p \wedge \sim r] \rightarrow \sim r \wedge q$ is False, then which of the following has truth value False?

A
$(p \vee r) \rightarrow \sim r$
B
$\quad(\mathrm{r} \vee \mathrm{q}) \rightarrow \sim \mathrm{p}$
C
$\sim(p \vee q) \rightarrow \sim r$
D
$\quad \sim(r \vee q) \rightarrow \sim p$
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