1
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is

A
If the squares of two numbers are not equal, then the numbers are equal.
B
If the squares of two numbers are equal, then the numbers are not equal.
C
If the squares of two numbers are equal, then the numbers are equal.
D
If the squares of two numbers are not equal, then the numbers are not equal.
2
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The following statement $(\mathrm{p} \rightarrow \mathrm{q}) \rightarrow((\sim \mathrm{p} \rightarrow \mathrm{q}) \rightarrow \mathrm{q})$ is

A
a fallacy.
B
equivalent to $(\sim \mathrm{p}) \rightarrow \mathrm{q}$.
C
equivalent to $\mathrm{p} \rightarrow(\sim \mathrm{q})$.
D
a tautology.
3
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{p}, \mathrm{q}$ and r be the statements

$\mathrm{p}: \mathrm{X}$ is an equilateral triangle

$\mathrm{q}: \mathrm{X}$ is isosceles triangle

r: q $\vee \sim p$,

then the equivalent statement of $r$ is

A
If X is not an equilateral triangle, then X is not an isosceles triangle
B
X is neither isosceles nor equilateral triangle
C
X is isosceles but not an equilateral triangle
D
If X is not an isosceles triangle, then X is not an equilateral triangle.
4
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let p : A man is judge. $\mathrm{q}: \mathrm{He}$ is honest. The inverse of $p \rightarrow q$ is

A
If a man is judge, then he is honest.
B
If a man is not judge, then he is not honest.
C
If a man is honest, then he is judge.
D
If a man is not honest then, he is not judge.
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