1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A radio-active substance has a half-life of h days, then its initial decay rate is given by (where radio-active substance has initial mass $\mathrm{m}_0$)

A
$\frac{\mathrm{m}_0}{\mathrm{~h}}(\log 2)$
B
$\left(\mathrm{m}_0 \mathrm{~h}\right)(\log 2)$
C
$-\frac{\mathrm{m}_0}{\mathrm{~h}}(\log 2)$
D
$-\left(m_0 h\right)(\log 2)$
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The inverse of $p \rightarrow(q \rightarrow r)$ is logically equivalent to

A
$\mathrm{p} \rightarrow(\mathrm{q} \rightarrow \mathrm{r})$
B
$(\mathrm{q} \rightarrow \mathrm{r}) \rightarrow \sim \mathrm{p}$
C
$(p \vee q) \rightarrow r$
D
$(\mathrm{q} \rightarrow \mathrm{r}) \rightarrow \mathrm{p}$
3
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the line $\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$ lies in the plane $x+3 y-\alpha z+\beta=0$, then $(\alpha, \beta)=$

A
$(6,-7)$
B
$(-6,7)$
C
$(5,-15)$
D
$(-5,15)$
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3, then new variance of the resulting observations is

A
288
B
36
C
18
D
108
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