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1
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The logical statement $(p \vee q) \wedge [(\sim p \wedge q) \vee (p \wedge \sim q)] \wedge \sim q$ is logically equivalent to ...
A
$p \wedge \sim q$
B
$\sim p \wedge q$
C
$p \wedge q$
D
$\sim p \vee \sim q$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Which of the following logical statements is a tautology?
A
$[(p \rightarrow q) \wedge \sim q] \rightarrow \sim p$
B
$(p \rightarrow q) \wedge (p \wedge \sim q)$
C
$[(p \vee q) \wedge \sim p] \wedge \sim q$
D
$[(p \vee \sim q) \vee (\sim p \wedge q)] \wedge r$
3
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The negation of statement pattern $(\mathrm{p} \wedge \sim \mathrm{q}) \rightarrow(\mathrm{p} \vee \sim \mathrm{q})$ is

A

a tautology

B

a contingency

C

a contradiction

D

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

4
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

MHT CET 2025 5th May Evening Shift Mathematics - Mathematical Reasoning Question 7 English
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 $\mathrm{p} \vee \mathrm{q}$

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