1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The degree of the differential equation obtained from the equation $(y - a)^2 = 4(x - b)$ [where $a$ and b are arbitrary constants] is
A
$1$
B
$2$
C
$3$
D
not defined
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The solution of the differential equation $\left(x + 2y^3\right)\dfrac{dy}{dx} - y = 0$ is
A
$x = (c + y^2)y$, where c is the constant of integration
B
$y = (c + y^2)x$, where c is the constant of integration
C
$x = (c + y)y$, where c is the constant of integration
D
$y = (c + x^2)$, where c is the constant of integration
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The rate of reduction is proportional to the square root of a persons existing assets at that moment. If his assets at the beginning are 10000 and they dwindle down to 5625 in 2 years, then the person will be bankrupt in
A
4 years
B
6 years
C
8 years
D
10 years
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A spherical mothball has initial radius 3 cm. Due to evaporation, the radius of the ball reduces to 1 cm in 4 months. In how many months would the mothball evaporate completely if the volume is lost at a rate proportional to the surface area ?
A
$6$ months
B
$8$ months
C
$10$ months
D
$12$ months

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