List of top Questions asked in MHT CET

Which disease is primarily spread by female Anopheles mosquitoes?

Two monkeys off mass 10 kg and 8 kg are moving along a vertical light rope the former climbing up with an acceleration of 2 m/second square while the latter coming down with a uniform velocity of 2 m/sec square find the tension in the rope at the fixed support

Total genetic content of an organism is called

How many ATP molecules are needed as an initial investment in the glycolytic cycle (normal glycolysis)?

The radius of a cylinder is increasing at the rate 2 cm/sec and its height is decreasing at the rate 3 cm/sec, then find the rate of change of volume when the radius is 3cm and the height is 5 cm.

Ki are possible values of K for which lines \(Kx + 2y + 2 = 0\), \(2x + Ky + 3 = 0\), \(3x + 3y + K = 0\) are concurrent, then \(∑k_i\) has value.

The negation of inverse of the statement \((p \wedge q)→(p\vee\sim q)\)

The solution of ey-x dy/dx = y(sinx + cosx)/(1 + ylogy)

If \(A=\begin{bmatrix} 2a & -3b\\ 3 & 2\end{bmatrix}\) and \(\text{adj}A = AA^T\), then 2a+3b is?

In a certain culture of bacteria the rate of increase is proportional to the no.of bacteria present at that instant it is found that there are 10000 bacteria present in 3 hours and 40000 bacteria at the 5 hours the number of bacteria present in the beginning is?

Find k if \(\int_{0}^{\frac{1}{2}}[\frac{x^2dx}{(1-x^2)^{\frac{3}{2}}}]=\frac{k}{6}\).

Area of the Region bounded by the curve y=√49-x2 and x-axis is .

∫ (x2 - 1)dx/(x3(2x4 - 2x2 1)1/2) = ?

The Points (1,3), (5,1) are Opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line y=2x+c, then one of the vertex on the other diagonal is?

If \(\int_0^{\pi/2} \log(\cos x) \, dx = \frac{\pi}{2} \log\left(\frac{1}{2}\right)\), then find \(\int_0^{\pi/2} \log(\sec x) \, dx\).

\(\int \frac{1}{(x + 2)(1 + x)^2} \, dx\)

If x = 3 tan t and y = 3 sec t, then find \(\frac{d^2y}{dx^2} \, at\,t=\frac{\pi}{4}\), is:

At the pure inductive stage, find e_max.

If \(X\sim(5,p)\) \(P(X=3) = 5P(X=4)\), find variance.

In which forest does average rainfall occur?

\(\int \frac{1}{\cos^3 x \sqrt{\sin 2x}} \, dx\)

If at depth ‘\(d\)’ the gravitational force acting on a particle is 300 N, then what is the force on a particle at depth ‘\(\frac d2\)’ ?