MHT CET 2025 23rd April Morning Shift | Mathematical Reasoning Question 3 | Mathematics

Which of the following is the negation of the statement " For all M>0, there exist $x \in \mathrm{~s}$ such that $x \geqslant \mathrm{M}^{\prime \prime}$

$\quad \exists \mathrm{M}>0$ such that $x \geqslant \mathrm{M}$ for all $x \in \mathrm{~s}$

$\quad \exists \mathrm{M}>0, \exists x \in \mathrm{~s}$ such that $x \geqslant \mathrm{M}$

$\exists \mathrm{M}>0$ such that $x<\mathrm{M}$ for all $x \in \mathrm{~s}$

$\quad \exists \mathrm{M}>0$, there exist $x \in \mathrm{~s}$ such that $x<\mathrm{M}$

MHT CET 2025 23rd April Morning Shift

MCQ (Single Correct Answer)

-0

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

$p \rightarrow q \wedge r$

$\quad(\mathrm{q} \wedge \mathrm{r}) \rightarrow \mathrm{p}$

$\sim \mathrm{q} \vee \sim \mathrm{r} \rightarrow \mathrm{p}$

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

MHT CET 2025 22nd April Evening Shift

MCQ (Single Correct Answer)

-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 $\left(\mathrm{V}_1, \mathrm{~V}_2\right) \equiv$

$(\mathrm{T}, \mathrm{T})$

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

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

$(F, F)$

MHT CET 2025 22nd April Evening Shift

MCQ (Single Correct Answer)

-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 5 English

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

$q \vee r$

$\quad(\sim \mathrm{q} \wedge \sim \mathrm{r})$

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