1
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of ways in which 6 boys and 4 girls can be seated around a round table such that 2 special boys and a special girl never sit together is

A

332620

B

332540

C

332640

D

332520

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

The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y -axis is

A

$x \frac{\mathrm{~d} y}{\mathrm{~d} x}-2 y=0$

B

$\frac{\mathrm{d} y}{\mathrm{~d} x}+x y=0$

C

$\quad x \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=0$

D

$x^2 \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=0$

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

$$ \int \frac{\mathrm{d} x}{x^{\frac{1}{2}}+x^{\frac{1}{3}}}=\mathrm{A} x^{\frac{1}{2}}+\mathrm{B} x^{\frac{1}{3}}+\mathrm{C} x^{\frac{1}{6}}+\mathrm{D} \log \left(x^{\frac{1}{6}}+1\right)+\mathrm{k} $$

(where k is the integration constant) then values of $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D are respectively,

A

$2,-3,6,-6$

B

$2,3,-6,6$

C

$2,-3,-6,6$

D

$-2,-3,6,6$

4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The probability that a non leap year selected at random will contain 52 Saturdays or 53 Sundays is

A

$\frac{1}{7}$

B

$\frac{6}{7}$

C

$\frac{2}{7}$

D

$\frac{5}{7}$

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