List of top Questions asked in CUET (UG)- 2026

Name a food product prepared by the action of bacteria:

Supply of oxygen to the biogas plant will have:

Methanogens do not produce:

Which role is played by lactic acid bacteria (LAB) in our stomach?

BOD of waste water is estimated by measuring the amount of:

Find the derivative of \[ f(x)=e^{x^2} \]

Is \[ f(x)=|x-2| \] differentiable at \(x=2\)?

Find the adjoint of \[ A= \begin{pmatrix} 1& 2\\ 3& 4 \end{pmatrix} \]

Which one of the following is useful in rice fields?

Acellular microorganism is:

Which one of the following is not a nitrogen-fixing organism?

Identify the order and degree of the differential equation: \[ \left(\frac{d^3y}{dx^3}\right)^2 + 4\left(\frac{dy}{dx}\right)^4 + y = \sin(x) \]

Maximize \[ Z=3x+4y \] subject to \[ x+y\le10,\qquad x,y\ge0 \]

Find the domain of \[ f(x)=\sin^{-1}(2x-1) \]

Find the shortest distance between the lines \[ \vec r= \hat i+2\hat j+\hat k+\lambda(\hat i-\hat j+\hat k) \] and \[ \vec r= 2\hat i-\hat j-\hat k+\mu(2\hat i+\hat j+2\hat k) \]

Probability that the second ball is red, given the first was blue (3 red and 5 blue balls, without replacement).

Find the local maximum of \[ f(x)=x^3-3x+2 \]

Consider a \(3\times3\) matrix \(A\). If \[ \operatorname{adj}(A)= \begin{pmatrix} 2& 0& 0\\ 0& 2& 0\\ 0& 0& 2 \end{pmatrix} \] find \(\det(A)\).

Which of the following complexes is expected to be diamagnetic?

Which of the following complexes shows the highest crystal field stabilization energy (CFSE) in octahedral geometry?

The reagent used in Sandmeyer reaction for converting benzene diazonium chloride into chlorobenzene is:

The number of stereoisomers possible for the compound \( \text{CH}_3\text{CHBrCHBrCH}_3 \) is:

Which of the following reagents converts aldehydes into primary alcohols?

The order of basic strength among the following amines is: Aniline, Methylamine, Dimethylamine, and Ammonia.

The magnetic moment of a transition metal ion is found to be \( 5.92 \, \text{BM} \). The number of unpaired electrons present in the ion is: