List of top Questions asked in MHT CET

How many dehydrogenation reactions in Krebs cycle?

What is the primary function of Bowman’s capsule in nephron?

Disorder caused due to accumulation of amyloid proteins in CNS.

Which of the following ligands has two donor atoms?

The first member of the Paschen series in the hydrogen spectrum is of wavelength $ 18800 \, \text{Å} $. What is the short wavelength limit of the Paschen series?

A balloon filled with an air sample occupies $ 3 \, \text{L} $ volume at $ 35^\circ \text{C} $. On lowering the temperature to $ T $, the volume decreases to $ 2.5 \, \text{L} $. The temperature $ T $ is: [Assume $ P $-constant]

Force between two point charges $ q_1 $ and $ q_2 $ placed in vacuum at a distance $ r \, \text{cm} $ apart is $ F $. Force between them when placed in a medium having dielectric $ K = 5 $ at $ r/5 \, \text{cm} $ apart will be:

The statement $ [(p \rightarrow q) \wedge \sim q] \rightarrow r $ is a tautology when $ r $ is equivalent to:

A battery of $ 6 \, \text{V} $ is connected to the circuit as shown below. The current $ I $ drawn from the battery is:

If the statement $ p \leftrightarrow (q \rightarrow p) $ is false, then the true statement is:

The function $ f(x) = \tan^{-1} (\sin x + \cos x) $ is an increasing function in:

A student scores the following marks in five tests: 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six tests is:

Find the area of the region bounded by the parabola $$ y^2 = 4ax \text{ and its latus rectum.} $$

If $ \sqrt{\frac{y}{x}} + 4\sqrt{\frac{x}{y}} = 4 $, then $ \frac{dy}{dx} $:

The equation $ (\cos p - 1)x^2 + (\cos p)x + \sin p = 0 $, where $ x $ is a variable with real roots. Then the interval of $ p $ may be any one of the following:

The order and degree of the differential equation $ \sqrt{\frac{dy}{dx}} - 4 \frac{dy}{dx} - 7x = 0 $ are respectively

The equation of the plane passing through the point $ (1, 1, 1) $ and perpendicular to the planes $ 2x + y - 2z = 5 $ and $ 3x - 6y - 2z = 7 $ is:

If $ AX = B $, where \[ A = \begin{bmatrix} 1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1 \end{bmatrix}, \quad X = \begin{bmatrix} x \\ y \\ z \end{bmatrix}, \quad B = \begin{bmatrix} 4 \\ 0 \\ 2 \end{bmatrix}, \] then $ 2x + y - z $ is:

The inverse of the matrix \[ \begin{bmatrix} 1 & 0 & 0 \\ 3 & 3 & 3 \\ 5 & 2 & -1 \end{bmatrix} \] is:

If $ p \land q $ is False and $ p \rightarrow q $ is False, then the truth values of $ p $ and $ q $ are:

A committee of 11 members is to be formed out of 8 males and 5 females. If $ m $ is the number of ways the committee is formed with at least 6 males and $ n $ is the number of ways with at least 3 females, then:

Let $ \vec{a} = \hat{i} + \hat{j} + \hat{k}, \, \vec{b} = \hat{i} + 3\hat{j} + 5\hat{k} $ and $ \vec{c} = 7\hat{i} + 9\hat{j} + 11\hat{k} $. Then the area of a parallelogram having diagonals $ \vec{a} + \vec{b} $ and $ \vec{b} + \vec{c} $ is:

The value of : $ \int \frac{x + 1}{x(1 + xe^x)} dx $.

The tangent at the point $ (x_1, y_1) $ on the curve $ y = x^3 + 3x^2 + 5 $ passes through the origin. Then $ (x_1, y_1) $ does NOT lie on the curve: