1
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let

$$f(x)\matrix{ { = |x| + 3,} & {if\,x \le - 3} \cr { = - 2x,} & {if\, - 3 < x < 3} \cr { = 6x - 2,} & {if\,x \ge 3} \cr } $$, then

A
$$f(x)$$ is discontinuous at both $$x=-3$$ as well as $$x=3$$
B
$$f(x)$$ is continuous at $$x=-3$$ but discontinuous at $$x=3$$
C
$$f(x)$$ is continuous at $$x=-3$$ as well as $$x=3$$
D
$$f(x)$$ of discontinuous at $$x=-3$$ but $$f(x)$$ is continuous at $$x=3$$
2
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The particular solution of the diffrential equation $$y(1+\log x)=\left(\log x^x\right) \frac{d y}{d x}$$, when $$y(e)=e^2$$ is

A
$$2 e x \log x-y=e^2$$
B
$$3 ex \log y x-y=2 e^2$$
C
$$\operatorname{ex} \log x+y=2 e^2$$
D
$$\operatorname{ex} \log x-y=0$$
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If statements $$\mathrm{p}$$ and $$\mathrm{q}$$ are true and $$\mathrm{r}$$ and $$\mathrm{s}$$ are false, then truth values of $$\sim(\mathrm{p} \rightarrow \mathrm{q}) \leftrightarrow(\mathrm{r} \wedge \mathrm{s})$$ and $$(\sim \mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{r} \leftrightarrow \mathrm{s})$$ are respectively.

A
$$\mathrm{F}, \mathrm{F}$$
B
T, T
C
T, F
D
F, T
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Bismath has half life period of 5 days. A sample originally has a mass of 1000 mg, then the mass of Bismath after 30 days is

A
16.625 mg
B
13.625 mg
C
14.625 mg
D
15.625 mg
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