1
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
$(\mathrm{q} \rightarrow \mathrm{r}) \rightarrow \mathrm{p}$
2
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
$(-5,15)$
3
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
4
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Words of length 10 are formed by using the letters A, B, C, D, E, F, G, H, I, J. Let $x$ be number of such words where no letter is repeated and $y$ be number of such words where exactly two letters are repeated twice and no other letter is repeated, then the value of $\frac{y}{x}$ is

A
45
B
415
C
315
D
215
MHT CET Papers
EXAM MAP