1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The converse of $[p \wedge(\sim q)] \rightarrow r$ is

A
$\sim \mathrm{r} \rightarrow(\sim \mathrm{p} \vee \mathrm{q})$
B
$\mathrm{r} \rightarrow(\sim \mathrm{p} \wedge \sim \mathrm{q})$
C
$(\sim p \vee q) \rightarrow \sim r$
D
$\mathrm{r} \rightarrow(\mathrm{p} \wedge \mathrm{q})$
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation obtained by eliminating arbitrary constant from the equation $y^2=(x+c)^3$ is

A
$\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)^3=27 y$
B
$\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)^3=-27 y$
C
$8\left(\frac{\mathrm{~d} y}{\mathrm{~d} x}\right)^3=27 y$
D
$ 8\left(\frac{\mathrm{~d} y}{\mathrm{~d} x}\right)^3+27 y=0$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the statements $p, q$ and $r$ have the truth values $\mathrm{F}, \mathrm{T}, \mathrm{F}$ respectively, then the truth values of the statement patterns $(p \wedge \sim q) \rightarrow r$ and $(p \vee q) \rightarrow r$ are respectively

A
$\mathrm{T}, \mathrm{T}$
B
$\mathrm{T}, \mathrm{F}$
C
$F, T$
D
$F, F$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The decay rate of radium is proportional to the amount present at any time $t$. If initially 60 gms was present and half life period of radium is 1600 years, then the amount of radium present after 3200 years is

A
20 grams
B
15 grams
C
12 grams
D
10 grams
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