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

The main pre-requisites of a sound institutional structure for economic development are:
• [A.] Property rights and legally binding contracts
• [B.] Regulatory Institutions
• [C.] Free market institutions
• [D.] Institutions for macroeconomic stability Choose the correct answer from the options given below:

Which of the following is not correct?
• [(1)] At present the exchange rate of the Indian currency is market determined.
• [(2)] The exchange rate remained overvalued in the pre-reform period.
• [(3)] Based on current international trade standards, trade facilitation policies include a focus on paperless procedures.
• [(4)] 'Vivad-se Vishwas' is an initiative to settle international trade disputes in India.

The concept of “balanced growth” talks about:
• [(1)] Taking advantage of backward and forward linkages in the production process
• [(2)] Synchronized application of capital to a wide range of industries
• [(3)] Low level equilibrium trap
• [(4)] Rural-urban migration

Chronologically arrange the following:
• [A.] Oudh Rent Act
• [B.] Public Safety Bill
• [C.] Deccan Agriculturists Relief Act
• [D.] Bengal Tenancy Act Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II - Let $\vec{F}(x,y,z) = x\hat{i} + y\hat{j} + z\hat{k}$ and $\vec{G}(x,y,z) = xz\hat{i} + xy\hat{j} + yz\hat{k}$

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II - For a linear transformation $T : U(F) \to V(F)$

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II - Let $x_n = 3 + (-1)^n, n \in \mathbb{N}$. Then

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Match the LIST-I with LIST-II - Let $A = \begin{bmatrix} 1 & 0 \\ 5 & 2 \end{bmatrix}$. Then

Choose the correct answer from the options given below:

Which of the following statements are correct:
A. Area of a non negative continuous function from $x = a$ to $x = b$ is $\int_a^b f(x) dx$.
B. $\iint_D f(x,y) dx dy = 0$, where $f(x,y) \ge 0 \, \forall (x,y)$ in $D$.
C. $\iint_R f(x,y) dx dy = \iint_{R_1} f(x,y) dx dy + \iint_{R_2} f(x,y) dx dy$, where $R$ is divided into $R_1$ and $R_2$, and $f$ is integrable on $R_1$ and $R_2$. D. If $f(x,y) = k \, \forall (x,y)$ in $R$, then $\iint_R f(x,y) dx dy = k \times (\text{area of } R)$.
E. $\iint_R C f(x,y) dx dy = C \iint_R f(x,y) dx dy$; $C$ is a constant
Choose the correct answer from the options given below:

Consider the following statements:
A. $(1 + e^x y + x e^x y) dx + (x e^x + 2) dy = 0$ is an exact differential equation.
B. The particular solution of $(D^2 - D - 2)y = e^{-x}$ is $-\frac{1}{3} x e^{-x}$. C. The particular solution of $(D^2 + 4)y = \sin^2 x$ is $-\frac{x}{8} \sin 2x$. D. The functions $\phi_1(x) = x^2$ and $\phi_2(x) = x |x|$ are linearly independent for $-\infty < x < \infty$.
Choose the correct answer from the options given below:

Match LIST-I with LIST-II

Choose the correct answer from the options given below:

Which of the following set is convex.
A. The set $\{(x_1, x_2) \mid \frac{x_1^2}{4} + \frac{x_2^2}{9} \le 1, x_1 \ge 0, x_2 \ge 0\}$ B. The set $\{(x_1, x_2) \mid x_1 x_2 \ge 1, x_1 \ge 0, x_2 \ge 0\}$ C. The set $\{(x_1, x_2) \mid x_1 \ge 1 \text{ or } x_2 \ge 1\}$ D. The set $\{(x_1, x_2) \mid x_1 + x_2 \le 1, x_1 \ge 0, x_2 \ge 0\}$ Choose the correct answer from the options given below:

Which of the following are true:
A. $\text{div }(\vec{F} \times \vec{G}) = \vec{G} \cdot \text{curl } \vec{F} - \vec{F} \cdot \text{curl } \vec{G}$ B. $\text{div }(\text{curl } \vec{F}) = 0$ C. $\text{curl }(\vec{\nabla} f) = 0$ D. $\text{div }(\vec{\nabla} f \times \vec{\nabla} g) \neq 0$ E. $\vec{\nabla}(fg) = f \vec{\nabla} g + g \vec{\nabla} f$ Choose the correct answer from the options given below:

Which of the following statements are correct:
A. If $\sum a_n$ converges, then $\lim_{n \to \infty} a_n = 0$ B. If $|a_n| \le c_n$ for all $n$, and if $\sum c_n$ diverges, then $\sum a_n$ diverges.
C. If $|a_n| \le c_n$ for $n \ge N_0$, ($N_0$ is fixed integer) and if $\sum c_n$ converges, then $\sum a_n$ converges.
D. If $a_n \ge d_n \ge 0$ for $n$, and if $\sum d_n$ converges, then $\sum a_n$ converges.
E. If $a_n \ge d_n \ge 0$ for $n \ge N_0$ and if $\sum d_n$ diverges, then $\sum a_n$ diverges.
Choose the correct answer from the options given below:

Which of the following statements are correct:
A. $e^{-x}(x \sin y - y \cos y)$ is harmonic B. $f(z) = u + iv$ is analytic, where $u = x, v = y$.
C. $f(z) = z^{1/2}$ is analytic on $\mathbb{C}$. D. $f(z) = \frac{1}{z}$ is not analytic on $\mathbb{C}$. E. $f(z) = \sin(z^3)$ is bounded.
Choose the correct answer from the options given below:

Which of the following statements are correct:
A. The set of limit points of the set of rationals $\mathbb{Q}$ is empty in the real line $\mathbb{R}$. B. $(0,1)$ is open in the real line $\mathbb{R}$. C. The set $\{\frac{1}{n} \mid n \in \mathbb{N}\} \cup \{0\}$ is compact in $\mathbb{R}$. D. The set $\{x : |x| > 1\}$ is a connected subset of $\mathbb{R}$. E. $[0,1]$ is a closed and compact subset of $\mathbb{R}$. Choose the correct answer from the options given below:

Which of the following holds for complex variable $z$:
A. Let $C$ be the unit circle $z = e^{i\theta}, (-\pi \le \theta \le \pi)$. Then $\int_C \frac{e^{iz}}{z} dz = 2\pi i$ B. The $\{z \mid 1 < |z| < 2\}$ set is simply connected. C. $\frac{1}{1+z} = \sum_{n=0}^{\infty} z^n$, whenever $|z| < 1$ D. The unit disk $\{z \mid |z| < 1\}$ is simply connected. E. If $f$ is analytic at $z_0$, then $f$ is continuous at $z_0$.
Choose the correct answer from the options given below:

Which of the following are correct
A. $(e^z)^n = e^{nz}$, $(n = 0, \pm 1, \pm 2, \dots)$ B. Let $f(z) = u(x,y) + i v(x,y)$ be analytic on some domain $D$. Then $T(x,y) = e^{u(x,y)} \cos v(x,y)$ is harmonic in $D$. C. $e^z \neq 0$ for all $z \in \mathbb{C}$. D. The principal value of $(i)^i$ is $\exp\left(\frac{\pi}{2}\right)$
E. $\cos z = \frac{e^{iz} - e^{-iz}}{2}$ Choose the correct answer from the options given below:

Let $T : U(F) \to V(F)$ be a linear transformation, then which of the following holds:
A. $\text{Rank}(T) + \text{dim}(V) = \text{Nullity}(T)$ B. $\text{Rank}(T) + \text{Nullity}(T) = \text{dim}(U)$ C. $\text{Nullity}(T) = \text{dim}(V)$ D. $\text{Nullity}(T) = \text{dim}(\text{Ker}(T))$ E. $\text{Nullity}(T) = \text{dim}(U)$ Choose the correct answer from the options given below:

Which of the following functions $T : \mathbb{R}^2 \to \mathbb{R}^2$ are linear transformations? A. $T(x_1, x_2) = (x_1, x_1 + x_2)$
B. $T(x_1, x_2) = (x_1 + x_2, x_2)$
C. $T(x_1, x_2) = (x_1 + 1, x_2 + 2)$
D. $T(x_1, x_2) = (|x_1| - |x_2|, 0)$
E. $T(x_1, x_2) = (x_1 - x_2, x_1 + x_2)$
Choose the correct answer from the options given below: