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

If $A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right]$ and $A=A^{-1}$, then $x=\ldots \ldots$

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

Which of the following function is not continuous at $x=0$ ?

A
$$\begin{aligned} f(x) & =(1+2 x)^{1 / x}, & & x \neq 0 \\ & =e^2, & & x=0 \end{aligned}$$
B
$$\begin{aligned} f(x) & =\sin x-\cos x, & & x \neq 0 \\ & =-1, & & x=0 \end{aligned}$$
C
$$\begin{array}{rlr} f(x) & =\frac{e^{1 / x}-1}{e^{1 / x}+1}, & x \neq 0 \\ & =-1, & x=0 \end{array}$$
D
$$\begin{array}{rlr} f(x) & =\frac{e^{5 x}-e^{2 x}}{\sin 3 x}, & x \neq 0 \\ & =1, & x=0 \end{array}$$
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

It is observed that $25 \%$ of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

A
$\left(\frac{1}{4}\right)^6$
B
$\frac{19}{1024}$
C
$\frac{19}{2048}$
D
$\frac{19}{4096}$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

For a GP, if $S_n=\frac{4^n-3^n}{3^n}$, then $t_2=$ ...........

A
$\frac{1}{9}$
B
$\frac{2}{9}$
C
$\frac{7}{9}$
D
$\frac{4}{9}$
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