1
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Identify product 'B' in the following reaction.

Sodium phenoxide $\xrightarrow[6 \mathrm{~atm}]{\mathrm{CO}_2, 398 \mathrm{~K}} \mathrm{~A} \xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}} \mathrm{B}$

A
Picric acid
B
Sulphonic acid
C
Salicylic acid
D
Salicylaldehyde
2
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of arrangements, of the letters of the word MANAMA in which two M's do not appear adjacent, is

A
40
B
60
C
80
D
100
3
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A random variable $X$ has the following probability distribution

$X=x$ 1 2 3 4 5 6 7 8
$P(X=x)$ 0.15 0.23 0.10 0.12 0.20 0.08 0.07 0.05

For the event $E=\{X$ is a prime number $\}$, $F=\{X<4\}$, then $P(E \cup F)$ is

A
0.5
B
0.77
C
0.35
D
0.75
4
MHT CET 2024 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{x+1}{x\left(1+x \mathrm{e}^x\right)^2} \mathrm{dx}=$$

A
$\log \left|\frac{x \mathrm{e}^x}{1+x \mathrm{e}^x}\right|+\frac{x}{1+x \mathrm{e}^x}+c$, (where c is a constant of integration)
B
$\quad \log \left|\frac{x \mathrm{e}^x}{1+x \mathrm{e}^x}\right|+\frac{\mathrm{e}^x}{1+x \mathrm{e}^x}+c$, (where c is a constant of integration)
C
$\quad \log \left|\frac{x \mathrm{e}^x}{1+x \mathrm{e}^x}\right|+\frac{1}{1+x \mathrm{e}^x}+c$, (where c is a constant of integration)
D
$\log \left|\frac{x \mathrm{e}^x}{1+x \mathrm{e}^x}\right|-\frac{1}{1+x \mathrm{e}^x}+c$, (where c is a constant of integration)
MHT CET Papers
EXAM MAP