1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The last column in the truth table of the statement pattern $[\mathrm{p} \rightarrow(\mathrm{q} \wedge \sim \mathrm{p})] \vee[(\mathrm{p} \vee \sim \mathrm{q}) \wedge \mathrm{p}]$ is
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Which of the following are pairs of equivalent circuits

3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The statement pattern $[(p \rightarrow q) \wedge \sim q] \rightarrow r$ is a tautology when $r$ is equivalent to
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Consider the three statements
$\mathrm{p}: \forall \mathrm{n} \in \mathbb{N}, 10 \mathrm{n}-3$ is a prime number, when n is not divisible by 3.
$\mathrm{q}: \frac{2}{\sqrt{3}}, \frac{-2}{\sqrt{3}}, \frac{-1}{\sqrt{3}}$ are the direction cosines of a directed line.
$\mathrm{r}: \sin x$ is an increasing function in the interval $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$.
Then which of the following statement pattern has truth value true?
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