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

Calculate the relative lowering of vapour pressure of solution containing 0.56 g nonvolatile solute in 100 g water [molar mass of solute $=60 \mathrm{~g} \mathrm{~mol}^{-1}$ ]

A
0.0024
B
0.0120
C
0.0017
D
0.0221
2
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+1
-0

Which among the following has highest boiling point?

A
Propanone
B
Propan-1-ol
C
Ethanoic acid
D
Propanal
3
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Numbers are selected at random, one at a time from the two-digit numbers $00,01,02,-------, 99$ with replacement. An event E occurs only if the product of the two digits of a selected number is 24. If four numbers are selected, then probability, that the event E occurs at least 3 times, is

A
$\frac{24}{(25)^4}$
B
$\frac{4}{(25)^4}$
C
$\frac{97}{(25)^4}$
D
$\frac{96}{(25)^4}$
4
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0

A particular solution of $3 \mathrm{e}^x \tan y \mathrm{~d} x+\left(1-\mathrm{e}^x\right) \sec ^2 y \mathrm{~d} y=0$ with $y(1)=\frac{\pi}{4}$ is

A
$\quad \tan y=\left(\frac{1-\mathrm{e}^3}{1-\mathrm{e}^x}\right)^3$
B
$\quad \tan y=\left(\frac{1-\mathrm{e}^2}{1-\mathrm{e}^x}\right)^3$
C
$\quad \tan y=\left(\frac{1-\mathrm{e}}{1-\mathrm{e}^x}\right)^3$
D
$\quad \tan y=\left(\frac{1-\mathrm{e}^x}{1-\mathrm{e}}\right)^3$
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