1
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\{(\mathrm{p} \wedge \sim \mathrm{q}) \wedge(\mathrm{p} \wedge \mathrm{r})\} \rightarrow \sim \mathrm{p} \vee \mathrm{q}$ has truth value false then truth values of the statements $p, q, r$ are respectively

A
$\mathrm{T}, \mathrm{T}, \mathrm{T}$
B
$\mathrm{F}, \mathrm{F}, \mathrm{F}$
C
$F, F, T$
D
$T, F, T$
2
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The correct simplified circuit diagram for the logical statement $[\{\mathrm{q} \wedge(\sim \mathrm{q} \vee \mathrm{r})\} \wedge\{\sim \mathrm{p} \vee(\mathrm{p} \wedge \sim \mathrm{r})\}] \vee(\mathrm{p} \wedge \mathrm{r})$ Where $p, q, r$ represents switches $s_1, s_2, s_3$ respectively.

A
MHT CET 2025 21st April Evening Shift Mathematics - Mathematical Reasoning Question 5 English Option 1
B
MHT CET 2025 21st April Evening Shift Mathematics - Mathematical Reasoning Question 5 English Option 2
C
MHT CET 2025 21st April Evening Shift Mathematics - Mathematical Reasoning Question 5 English Option 3
D
MHT CET 2025 21st April Evening Shift Mathematics - Mathematical Reasoning Question 5 English Option 4
3
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The logical statement

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

is equivalent to

A
$(\mathrm{p} \wedge \mathrm{r}) \wedge \sim \mathrm{q}$
B
$(\sim p \wedge \sim q) \wedge r$
C
$\sim p \vee r$
D
$\quad(p \wedge \sim q) \vee r$
4
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the statement pattern $(p \wedge q) \rightarrow(r \vee \sim s)$ is false, then the truth values of $p, q, r$ and $s$ are respectively

A
$T, F, T, F$
B
$T, T, T, F$
C
$T, T, F, F$
D
$T, T, F, T$
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