List of top Questions asked in CUET (UG)

Find the adjoint of \[ A= \begin{pmatrix} 1& 2\\ 3& 4 \end{pmatrix} \]
Is \[ f(x)=|x-2| \] differentiable at \(x=2\)?
Which one of the following is not a nitrogen-fixing organism?
Find the derivative of \[ f(x)=e^{x^2} \]
Which one of the following is useful in rice fields?
Find the domain of \[ f(x)=\sin^{-1}(2x-1) \]
Identify the order and degree of the differential equation: \[ \left(\frac{d^3y}{dx^3}\right)^2 + 4\left(\frac{dy}{dx}\right)^4 + y = \sin(x) \]
Consider a \(3\times3\) matrix \(A\). If \[ \operatorname{adj}(A)= \begin{pmatrix} 2& 0& 0\\ 0& 2& 0\\ 0& 0& 2 \end{pmatrix} \] find \(\det(A)\).
Maximize \[ Z=3x+4y \] subject to \[ x+y\le10,\qquad x,y\ge0 \]
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 \[ f(x)=x^3-3x+2 \]
The number of stereoisomers possible for the compound \( \text{CH}_3\text{CHBrCHBrCH}_3 \) is:
The reagent used in Sandmeyer reaction for converting benzene diazonium chloride into chlorobenzene is:
Which of the following reagents converts aldehydes into primary alcohols?
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 most exotic diamagnetic materials are superconductors. They exhibit perfect diamagnetism and perfect conductivity. The values of magnetic susceptibility \((\chi)\) and relative permeability \((\mu_r)\) for such materials are:
For a first-order reaction, the unit of rate constant is:
A compound shows optical isomerism and has molecular formula \( \text{C}_4\text{H}_{10}\text{O} \). Which of the following compounds can exhibit chirality?
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:
In a reaction sequence involving haloalkanes, the compound \( \text{CH}_3\text{CH}_2\text{Br} \) is treated with alcoholic KOH followed by ozonolysis. If the final product obtained is methanal, then identify the alkene formed in the intermediate step.
The order of basic strength among the following amines is: Aniline, Methylamine, Dimethylamine, and Ammonia.
For the given mixed combination of resistors, calculate the total resistance between points \(A\) and \(B\).
A wire of uniform cross-sectional area and resistivity has total resistance \(36\,\Omega\) and is bent into a circle as shown in the figure. The equivalent resistance between points \(A\) and \(B\) is: