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
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12