1
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\begin{aligned} & \cos \left(36^{\circ}-A\right) \cos \left(36^{\circ}+A\right)+\cos \left(54^{\circ}+A\right) \cos \\ & \left(54^{\circ}-A\right)= \end{aligned}$$

A
$$\cos A$$
B
$$\cos 2 A$$
C
$$\sin A$$
D
$$\sin 2 A$$
2
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The pdf of a continuous r.v. $$X$$ is given by $$f(x)=\frac{x}{8}, 0 < x < 4=0$$, otherwise, then $$P(X \leq 2)$$ is

A
$$\frac{1}{4}$$
B
$$\frac{5}{16}$$
C
$$\frac{9}{16}$$
D
$$\frac{7}{16}$$
3
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=\frac{|x|}{x}$$, for $$x \neq 0$$ $$=1$$, for $$x=0$$, then tre function is

A
differentiable but not continuous at $$x=0$$
B
continuous and differentiable at $$x=0$$
C
neither continuous nor differentiable at $$x=0$$
D
continuous but not differentiable at $$x=0$$
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$p, q$$ are true statement and $$r$$ is false statement, then which of the following statements is a true statement.

A
$$(p \rightarrow r) \rightarrow q$$ is false
B
$$(p \leftrightarrow q) \rightarrow r$$ is false
C
$$(p \wedge q) \rightarrow r$$ is true
D
$$(p \vee q) \vee r$$ is false
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