List of top Questions asked in MHT CET- 2020

Which of the following have the same value:
(a) \( \sin 120^\circ \)
(b) \( \cos 930^\circ \)
(c) \( \tan 840^\circ \)
(d) \( \cot(-1110^\circ) \)

If the length of perpendicular drawn from the point $(4,1)$ on the line $3x - 4y + k = 0$ is $2$ units, then the values of $k$ are

Evaluate the integral \[ \int_{0}^{\pi} \frac{x \cos x \sin x}{\cos^3 x + \cos x}\,dx \]

If \( A \) and \( B \) are independent events such that odds in favour of \( A \) is 2:3 and odds against \( B \) is 4:5, then \( P(A \cap B) = \)

Evaluate \( \int_0^{\frac{\pi}{2}} \sin^2 x \, dx \)

If the A.M. and G.M. of the roots of a quadratic equation in \( x \) are \( p \) and \( q \) respectively, then its equation is

If for the harmonic progression, \( t_7 = \frac{1}{10}, \, t_{12} = \frac{1}{25}, \) then \( t_{20} = \)

The domain of the function \( f(x) = \sqrt{x} \) is

If $\vec a,\vec b,\vec c$ are nonzero vectors along the coterminous edges of a parallelepiped with volume $7$ cubic units, then the volume of the parallelepiped with $\vec a+\vec b,\ \vec b+\vec c,\ \vec c+\vec a$ as the coterminous edges is

The adjoint of the matrix \[ A = \begin{pmatrix} 2 & 3
-3 & 5 \end{pmatrix} \] is

The probability that a bomb will miss the target is 0.2. Then the probability that out of 10 bombs dropped exactly 2 will hit the target is

If the body cools from \( 135^\circ C \) to \( 80^\circ C \) at room temperature of \( 25^\circ C \) in 60 minutes, then the temperature of the body after 2 hours is

The entries in the last column of the truth table for \( \neg (p \wedge q) \) are

If \( A, B, C \) are angles of a triangle ABC, then \( \tan 2A + \tan 2B + \tan 2C = \)

A ball falls in the downward direction from a height \( h \) with initial velocity \( V \). It collides with the ground, loses \( \frac{3}{4} \)th of energy and comes back to the same height. The initial velocity \( V \) is (g = acceleration due to gravity)

Which of the following elements is refined by zone refining?

In meter bridge experiment, null point was obtained at a distance \( f \) from left end. The values of resistances in the left and right gaps are doubled and then interchanged. The new position of null point is

Genome of a prokaryotic cell is ______________.

Two consecutive nucleotides of a nucleic acid are linked with ______________ bond.

Which one of the following shows clover leaf model?

Chromosomal mechanism of sex determination in human beings is called ______.

Which one of the following is required for transmission of malarial parasite?

The new field of biology, explored by HGP was ______________.

Water reaches to the top of trees of more than 100 feet against gravity, which one of the following is the main phenomenon responsible for this?

Which one is used as biofertilizer in paddy fields?