1
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The standard deviation of the following distribution

$$\mathrm{C.I.}$$ 0 - 6 6 - 12 12 - 18
$$\mathrm{f_i}$$ 2 4 6

is

A
5$$\sqrt2$$
B
$$\sqrt5$$
C
2$$\sqrt5$$
D
20
2
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of xy when x + 2y = 8 is

A
20
B
16
C
24
D
8
3
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If truth values of statements $$\mathrm{p}, \mathrm{q}$$ are true, and $$\mathrm{r}$$, $$s$$ are false, then the truth values of the following statement patterns are respectively

$$\begin{aligned} & \mathrm{a}: \sim(\mathrm{p} \wedge \sim \mathrm{r}) \vee(\sim \mathrm{q} \vee \mathrm{s}) \\ & \mathrm{b}:(\sim \mathrm{q} \wedge \sim \mathrm{r}) \leftrightarrow(\mathrm{p} \vee \mathrm{s}) \\ & \mathrm{c}:(\sim \mathrm{p} \vee \mathrm{q}) \rightarrow(\mathrm{r} \wedge \sim \mathrm{s}) \end{aligned}$$

A
$$\mathrm{T}, \mathrm{F}, \mathrm{F}$$
B
F, F, F
C
F, T, T
D
$$\mathrm{T}, \mathrm{F}, \mathrm{T}$$
4
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The rate of change of $$\sqrt{x^2+16}$$ with respect to $$\frac{x}{x-1}$$ at $$x=5$$ is

A
$$\frac{-80}{\sqrt{41}}$$
B
$$\frac{80}{\sqrt{41}}$$
C
$$\frac{12}{5}$$
D
$$\frac{-12}{5}$$
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