1
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

Calculate the edge length of bcc unit cell if radius of a particle present in it is 186 pm .

A

$4.296 \times 10^{-8} \mathrm{~cm}$

B

$7.301 \times 10^{-8} \mathrm{~cm}$

C

$3.715 \times 10^{-8} \mathrm{~cm}$

D

$5.419 \times 10^{-8} \mathrm{~cm}$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of the differential equation $\frac{d y}{d x}=\cot x \cdot \cot y$ is

A

$\cos x=\mathrm{c} \operatorname{cosec} y$, where c is the constant of integration.

B

$\sin x=\mathrm{c} \sec y$, where c is the constant of integration.

C

$\sin x=x \cos y$, where c is the constant of integration.

D

$\cos x=\mathrm{c} \sin y$, where c is the constant of integration.

3
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability that a person is not a sportsperson is $\frac{1}{6}$. Then the probability that out of the 6 members of the family, 5 are sportspersons is

A
$\left(\frac{5}{6}\right)^5$
B
$6\left(\frac{5}{6}\right)^5$
C
$5\left(\frac{5}{6}\right)^6$
D
$\left(\frac{5}{6}\right)^6$
4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\tan (\pi \cos \theta)=\cot (\pi \sin \theta)$, then $\sin \left(\frac{\pi}{4}+\theta\right)=$

A

$\frac{1}{2}$

B

$\frac{1}{\sqrt{2}}$

C

$\frac{1}{4}$

D

$\frac{1}{2 \sqrt{2}}$

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