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

The number of singular matrices of order \(2\), whose elements are from the set \(\{2,3,6,9\}\), is:

Consider the following statements regarding carbohydrates: Assertion (A): Sucrose is a non-reducing sugar. Reason (R): In sucrose, both the anomeric carbon atoms of glucose and fructose participate in glycosidic bond formation. Choose the correct option.

Which of the following statements regarding lanthanoids is correct?

Let \(y=f(x)\) satisfy \[ \frac{dy}{dx}+\frac{xy}{x^2-1}=\frac{x^6+4x}{\sqrt{1-x^2}},\ -1<x<1 \] with \(f(0)=0\). If \[ 6\int_{-1/2}^{1/2} f(x)\,dx = 2\pi-\alpha, \] then \(\alpha^2\) equals:

If \[ y(x)=\det\begin{pmatrix} \sin x & \cos x & \sin x+\cos x+1\\ 27 & 28 & 27\\ 1 & 1 & 1 \end{pmatrix} \] for \(x\in\mathbb{R}\), then \(\frac{d^2y}{dx^2}+y\) equals:

EDTA forms a stable complex with a metal ion \(M^{3+}\). The complex formed is octahedral and represented as \([M(EDTA)]^{-\). Which of the following statements is correct?}

Phenol is subjected to the following sequence of reactions: \[ \text{Phenol} \xrightarrow[\text{NaOH}]{\text{CO}_2} A \xrightarrow{\text{H}^+} B \xrightarrow[\text{Zn(Hg)}]{\text{Conc. HCl}} C \xrightarrow[\Delta]{NH_2NH_2/KOH} D \] If \(A\) is formed via Kolbe–Schmitt reaction and the final product \(D\) is obtained after the given sequence, then \(D\) is:

A first-order reaction has a rate constant of \(2.0\times10^{-3}\ s^{-1}\) at \(300\ K\) and \(8.0\times10^{-3}\ s^{-1}\) at \(330\ K\). Assuming the Arrhenius equation to be valid, the activation energy of the reaction is closest to:

Aldehyde \(A\) undergoes Cannizzaro reaction to give compounds \(B\) and \(C\). Compound \(B\) on oxidation gives benzoic acid. Compound \(C\) gives positive iodoform test after suitable oxidation. Compound \(A\) is:

For the cell reaction \[ Zn(s)+Cu^{2+}(aq)\rightarrow Zn^{2+}(aq)+Cu(s) \] the standard cell potential is \(1.10\ V\). If \[ [Zn^{2+}] = 0.10\ M \] and \[ [Cu^{2+}] = 1.0\times10^{-3}\ M \] at \(298\ K\), the cell potential is closest to:

A coordination compound has the formula \[ [Co(NH_3)_4Cl_2]Cl \] The magnetic moment of the complex is found to be approximately \(4.9\ BM\). The hybridization and geometry of the complex ion are respectively:

A compound \(A\) having molecular formula \(C_7H_8O\) gives a violet colour with neutral \(FeCl_3\). On treatment with excess \(CH_3I/K_2CO_3\), it forms compound \(B\). Ozonolysis of \(B\) followed by reductive workup \((Zn/H_2O)\) gives one mole of methanal and one mole of anisaldehyde. The number of phenolic compounds among \(A\), \(B\), and the ozonolysis products is:

The molar conductivity of \(CH_3COOH\) at a certain concentration is \(39.0\ \Omega^{-1}\,cm^2\,mol^{-1}\). Given that the limiting molar conductivities are: \[ \Lambda_m^\circ(HCl)=426.0\ \Omega^{-1}\,cm^2\,mol^{-1} \] \[ \Lambda_m^\circ(CH_3COONa)=91.0\ \Omega^{-1}\,cm^2\,mol^{-1} \] \[ \Lambda_m^\circ(NaCl)=126.0\ \Omega^{-1}\,cm^2\,mol^{-1} \] The degree of dissociation of acetic acid at this concentration is:

The energy of an electron in the first Bohr orbit of hydrogen atom is \(-13.6\,eV\). The energy of the electron in the third orbit is

A convex lens has a focal length of \(20\,cm\). An object is placed \(30\,cm\) from the lens. The image distance is

Given below are two statements: Assertion (A): In a nuclear reactor, control rods are used to control the rate of fission reaction. Reason (R): Control rods absorb excess neutrons produced during fission. Choose the correct answer from the options given below:

A photon of wavelength \(500\,nm\) is incident on a metal surface. The energy of the photon is approximately \((h=6.63\times10^{-34}\,Js,\; c=3\times10^8\,m/s)\)

Given below are two statements: Assertion (A): Electromagnetic waves can travel through vacuum. Reason (R): Electromagnetic waves consist of oscillating electric and magnetic fields. Choose the correct answer from the options given below:

Given below are two statements: Assertion (A): In a pure inductive AC circuit, current lags voltage by \(90^\circ\). Reason (R): An inductor opposes the change in current flowing through it. Choose the correct answer from the options given below:

Which of the following organizations publishes the World Economic Outlook (WEO) Report?

Two charges \(+4\,\mu C\) and \(+9\,\mu C\) are separated by a distance of \(3\,m\) in vacuum. The electrostatic force between them is \((k=9\times10^9\,Nm^2C^{-2})\)

A resistor of resistance \(20\,\Omega\) is connected across a \(10\,V\) battery. The current flowing through the resistor is

A sum of money becomes ₹13,310 in 3 years and ₹14,641 in 4 years at compound interest compounded annually. What is the rate of interest per annum?

Six friends \(A, B, C, D, E,\) and \(F\) are sitting in a row facing north. \(A\) is immediately to the left of \(B\). \(C\) is second to the right of \(B\). \(D\) is at one of the extreme ends. \(E\) is not a neighbour of \(A\). \(F\) is immediately to the right of \(D\). Which of the following is definitely true?

If in a certain code language, \[ \text{DELHI}=45 \] \[ \text{MUMBAI}=63 \] then the code for \[ \text{PATNA} \] is: