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1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Negation of the statement "If an integer is greater than 4 and less than 5, then it is a multiple of 3", is
A
An integer is not greater than 4 but less than 5 and it is a multiple of 3.
B
If an integer is not greater than 4 and less than 5 then it is not a multiple of 3.
C
An integer is greater than 4 and less than 5 but it is not a multiple of 3.
D
An integer is not greater than 4 and not less than 5 but it is not a multiple of 3.
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...
A
$\sim [p \vee (r \to q)]$
B
$p \vee (r \to q)$
C
$\sim [p \vee (q \to r)]$
D
$p \vee (q \to r)$
3
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The statements p, q and r have truth values True, False and False respectively. The truth values of a logical statement $[\sim(p \wedge \sim q) \vee (q \vee \sim r)]$ and its dual are, respectively.....
A
True, True
B
True, False
C
False, True
D
False, False
4
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 $\mathrm{p} \vee \mathrm{q}$

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