1
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The statement pattern $(p \vee q) \rightarrow \sim r$ is logically equivalent to
A
$(\sim p \vee \sim q) \vee \sim r$
B
$(\sim p \wedge \sim q) \wedge \sim r$
C
$(\sim p \wedge \sim q) \vee \sim r$
D
$(\sim p \vee \sim q) \wedge \sim r$
2
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In $\triangle ABC$, with usual notations, if $\cos A = \dfrac{1}{2}, a = 3, \angle B = \dfrac{\pi^c}{6}$, then the values of $b$ and $c$ are.....
A
$b = \sqrt{3}, c = \sqrt{3}$
B
$b = 2\sqrt{3}, c = \sqrt{3}$
C
$b = \sqrt{3}, c = 2\sqrt{3}$
D
$b = \sqrt{3}, c = \dfrac{1}{\sqrt{3}}$
3
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $A = \dfrac{1}{2}\begin{bmatrix} -1 & -\sqrt{3} \\ \sqrt{3} & -1 \end{bmatrix}$ then $A^{-1} - A^2$ is not
A
a null-matrix
B
a unit matrix
C
a diagonal matrix
D
a scalar matrix
4
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $A = \begin{bmatrix} 2i & i^3 \\ i^2 & 1 \end{bmatrix}$, then $A^{-1}$ is equal to
A
$\begin{bmatrix} -i & 1 \\ -i & 2 \end{bmatrix}$
B
$\begin{bmatrix} i & 1 \\ i & -2 \end{bmatrix}$
C
$\begin{bmatrix} -i & -1 \\ i & -2 \end{bmatrix}$
D
$\begin{bmatrix} i & -1 \\ -i & 2 \end{bmatrix}$

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