List of top Questions asked in MHT CET- 2026

Water flows through a horizontal pipe at a speed 'V'. Internal diameter of the pipe is 'd'. If the water is emerging at a speed '\(V_1\)' then the diameter of the nozzle is

A Solid sphere has mass M and radius R. Its moment of inertia about a parallel axis passing through a point at a distance R/3 from its centre is

The masses and radii of the earth and moon are \(M_1\), \(R_1\) and \(M_2\), \(R_2\) and respectively, Their centres are at a distance 'd' apart. The minimum speed with which body of mass 'm' should be projected from a distance \(2d/3\) from the centre of \(M_1\) so as to escape to infinity is

A block of mass 'm' moving on a frictionless horizontal surface collides with a spring of spring constant 'K' and compresses it through a distance 'x'. The maximum momentum of the block after collision is

A particle is moving with constant angular acceleration \(4\,\text{rad/s}^2\) in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal ?

A rectangular block of mass 'm' and cross-sectional area 'A' floats on a liquid of density '\(ρ\)'. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency (g=acceleration due to gravity)

A particle describes a horizontal circle of radius 'r' in conical funnel with smooth inner surface with a speed of \(0.5\) m/s. The height of the plane of the circle from the vertex of the funnel is (acceleration due to gravity, \(g = 10\,\text{m/s}^2\))

Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success is

A ball is released from height 'h' which makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is (g=acceleration due to gravity)

Let \(\overset{⃗}{P} = \hat{i}+\hat{j}+\hat{k}\) and \(\overset{⃗}{Q} = -(\hat{i}+\hat{j}+\hat{k})\). The angle between \((\overset{⃗}{P}-\overset{⃗}{Q})\) and \(\overset{⃗}{P}\) is

A wire has mass \((0.3\pm 0.003)\) gram, radius \((0.5\pm 0.005)\) cm and length \((6\pm 0.06)\) cm. The maximum percentage error in the measurement of density is

Two boys are standing at points A and B on ground where distance AB = a. The boy at point B starts running perpendicular to line AB with velocity '\(V_1\)'. The boy at point A starts running simultaneously with velocity 'V' and catches the other boy in time 't'. The value of 't' is

The feasible region represented by the constraints \(y-2x\leq 4,x+y\geq 5,x\leq 4,y\geq 2,x,y\geq 0\) is ...........

A fair die is thrown at random. Let A be the event that the number obtained on the die is a non-even prime number and B be the event that the number obtained on the die is an odd number.
Let \(p:P(A) = \frac{1}{3}\), \(q\) : A and B are independent events.
Then the truth values of statements \(p\) and \(q\) respectively are.....

The probability distribution of a random variable X is given by

\(X = x\)	\(1\)	\(2\)	\(3\)	\(4\)
\(P(X = x)\)	\(k\)	\(2k\)	\(3k\)	\(4k\)

Then the c.d.f. of X is given by

The vector equation of the line whose cartesian equations are \(x = 2,2y-3z+7 = 0\)

Three ships A, B, C sail from England to India. If the odds in favour of their safe arrival are 2:5, 3:7 and 6:11 respectively, then the probability that the exactly two ships arrive safely is

A random variable X has the probability distribution

\(X = x\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)
\(P(X = x)\)	\(0.23\)	\(0.15\)	\(0.12\)	\(0.10\)	\(0.20\)	\(0.07\)	\(0.08\)	\(0.05\)

for the events E = {X is a prime number} and F = {X \(\leq\) 3}, then P (E\(\cup\)F)=

The lines \(\frac{x-1}{-1} = \frac{y+2}{1} = \frac{z-3}{-2}\) and \(\frac{x-1}{1} = \frac{y+2}{1} = \frac{z+1}{-2}\) are

The lines \(\frac{x-2}{1} = \frac{y-3}{1} = \frac{z-4}{-k}\) and \(\frac{x-1}{k} = \frac{y-4}{2} = \frac{z-5}{1}\) are coplanar if

The acute angle between the vector \(2\hat{i}+\hat{j}-3\hat{k}\) and the plane containing the vectors \(2\hat{i}+3\hat{j}-\hat{k}\) and \(\hat{i}-\hat{j}+2\hat{k}\) is

If the product of the distances of the point (1, 2, 3) from the origin and the plane \(2x-3y+z+k = 0\) is 7, then the value of k is

A parallelogram is constructed on \(5\overset{̄}{a}+2\overset{̄}{b}\) and \(\overset{̄}{a}-3\overset{̄}{b}\) as its adjacent sides, with \(|\overset{̄}{a}| = 2\sqrt{2},|\overset{̄}{b}| = 3\) . The angle between \(\overset{̄}{a}\) and \(\overset{̄}{b}\) is \(\frac{π}{4}\) . Then the length of the diagonals of the parallelogram are

The direction ratios of the normal to the plane passing through (1, 0, 0), (0, 1, 0) which makes an angle of measure \(45^{\circ}\) with the plane \(2x+3y = 7\) are....

The degree of the differential equation obtained from the equation \((y-a)^2 = 4(x-b)\) [where \(a\) and b are arbitrary constants] is