1
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+1
-0

Identify substrate ' $A$ ' in the following reaction.

$\mathrm{A}+\mathrm{CO}_2 \xrightarrow[6 \text { atm }]{398 \mathrm{~K}}$ Sodium salicylate $\xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}}$Salicylic acid

A
Phenol
B
Sodium phenoxide
C
Salicyldehyde
D
o-Phenolsulphonic acid
2
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If a random variable X follows the Binomial distribution $B(10, \quad p)$ such that $5 \mathrm{P}(\mathrm{X}=0)=\mathrm{P}(\mathrm{X}=1)$, then the value of $\frac{\mathrm{P}(\mathrm{X}=5)}{\mathrm{P}(\mathrm{X}=6)}$ is equal to

A
$\frac{6}{5}$
B
$\frac{2}{5}$
C
$\frac{12}{5}$
D
$\frac{1}{5}$
3
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+2
-0

A particular solution of $\frac{\mathrm{d} y}{\mathrm{~d} x}=(x+9 y)^2$, when $x=0, y=\frac{1}{27}$ is

A
$\quad 3 x+27 y=\tan \left[3\left(x+\frac{\pi}{12}\right)\right]$
B
$\quad 3 x+27 y=\tan \left(x+\frac{\pi}{4}\right)$
C
$3 x+27 y=\tan \left(x+\frac{\pi}{12}\right)$
D
$3 x+27 y=\tan \left[3\left(x+\frac{\pi}{4}\right)\right]$
4
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$ \mathop {\lim }\limits_{x \to \infty } \frac{\mathrm{e}^{x^4}-1}{\mathrm{e}^{x^4}+1}= $$

A
1
B
e
C
$\frac{1}{\mathrm{e}}$
D
not defined
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