List of top Questions asked in CUET (UG)

In a Linear Programming Problem (LPP), if the objective function to maximize is \( Z = 3x + 4y \) and the corner points of the feasible bounded region are \( (0,0), (4,0), (2,3), \) and \( (0,4) \), find the maximum value of \( Z \).

Let \( A \) be a square matrix of order 3 such that \( |A| = 5 \). Find the value of the determinant of its adjoint matrix, \( |\text{adj}(A)| \).

Find the general solution of the separable differential equation: \[ \frac{dy}{dx} = e^{x-y} + x^2e^{-y} \]

If \( A \) is a square matrix of order 3 such that its determinant value is \( |A| = -2 \), find the value of the scalar-scaled determinant \( |4A| \).

Evaluate the indefinite integral using pattern-based substitution: \[ \int \frac{\ln x - 1}{(\ln x)^2}\,dx \]

Find the area of the region enclosed by the ellipse given parametrically by the coordinates \( x = 2\sin\theta \) and \( y = 3\cos\theta \) where \( 0 \le \theta \le 2\pi \).

Determine the sum of the order and the degree of the following differential equation: \[ \left[1 + \left(\frac{dy}{dx}\right)^2\right]^{frac{3}{2}} = k \frac{d^2y}{dx^2} \]

Find the integrating factor (I.F.) for the linear differential equation: \[ \frac{dy}{dx} + \frac{2x}{1+x^2}y = \frac{1}{(1+x^2)^2} \]

Which statement about physical chemistry numericals in CUET is generally correct?

The rate of a reaction doubles when concentration of reactant is doubled. The order of reaction is:

The shape of \( [Ni(CN)_4]^{2- \) is:}

Which of the following complexes is diamagnetic?

For a first-order reaction, the half-life is given by \( t_{1/2} = \dfrac{0.693}{k} \). Which conclusion is correct?

Aldol condensation is shown by compounds containing:

Semicarbazide is commonly used to identify:

The magnetic moment of a complex having 3 unpaired electrons is closest to: \[ \mu = \sqrt{n(n+2)}\ \text{BM} \]

In the actinoid series, which oxidation state is the most stable for most actinoids?

In an LCR circuit at resonance:

Light of wavelength \(400\ \text{nm}\) falls on a metal surface. The energy of one photon is approximately: \[ \left( h=6.63\times10^{-34}\ \text{J s},\quad c=3\times10^8\ \text{m/s} \right) \]

In photoelectric effect, the stopping potential depends upon:

Electromagnetic waves are:

The ratio of electric field amplitudes and magnetic field amplitudes in an electromagnetic wave in vacuum is equal to:

Two long parallel wires carrying currents in the same direction will:

In wave optics, diffraction becomes more prominent when: