1
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $p$ and $q$ are true and $r$ and $s$ are false statements, then which of the following is true?

A
$(q \wedge r) \vee(\sim p \wedge s)$
B
$(\sim p \rightarrow q) \leftrightarrow(r \wedge s)$
C
$(p \rightarrow q) \vee(r \leftrightarrow s)$
D
$(p \wedge \sim r) \wedge(\sim q \vee s)$
2
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the standard deviation of the random variable $X$ is $\sqrt{3 p q}$ and mean is $3 p$ then $E\left(x^2\right)=\ldots \ldots$

A
$3 p q+3 q^2$
B
$3 p(1+2 p)$
C
$3 p q+3 p^2$
D
$3 q(1+2 q)$
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=[x]$, where $[x]$ is the greatest integer not greater than $x$, then $f^{\prime}\left(1^{+}\right)=$ ...........

A
1
B
2
C
0
D
$-$1
4
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If lines represented by $$\left(1+\sin ^2 \theta\right) x^2+2 h x y+2 \sin \theta y^2=0, \theta \in[0,2 \pi]$$ are perpendicular to each other then $\theta=$ ...........

A
$\frac{\pi}{2}$
B
$\pi$
C
$\frac{3 \pi}{2}$
D
$\frac{\pi}{6}$
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