List of top Questions asked in CUET (UG)- 2025

5, 10, 17, 26, ?, 50 — Find the missing number.
If A and B are invertible matrices then which of the following statement is NOT correct?
The general solution of the differential equation \( x\,dy + \left(y - e^x\right) dx = 0 \) is:
If $A$ is a square matrix of order 3 such that $|A| = 2$, then $|\operatorname{adj}(\operatorname{adj}(A))|$ is:
Choose the correct synonym of the word ‘Abandon’.
In a circuit, if the resistance is doubled and the voltage is halved, what happens to the current flowing through the circuit?

Consider the line \[ \vec{r} = (\hat{i} - 2\hat{j} + 4\hat{k}) + \lambda(-\hat{i} + 2\hat{j} - 4\hat{k}) \]

Match List-I with List-II:

List-IList-II
(A) A point on the given line(I) \(\left(-\tfrac{1}{\sqrt{21}}, \tfrac{2}{\sqrt{21}}, -\tfrac{4}{\sqrt{21}}\right)\)
(B) Direction ratios of the line(II) (4, -2, -2)
(C) Direction cosines of the line(III) (1, -2, 4)
(D) Direction ratios of a line perpendicular to given line(IV) (-1, 2, -4)
While issuing the share capital for public subscription where there is no Articles of Association of its own, the following provisions of Table A will apply: (A) A period of one month must elapse between two calls.
(B) The amount of call should not exceed 25% of the face value of the share.
(C) A minimum of 7 days' notice is given to the shareholders to pay the amount.
(D) Calls must be made on a uniform basis on all shares within the same class.
Choose the correct answer from the options given below:

Fill in the blank with the correct option. 
The teacher believed that the student’s sudden lack of interest in class was an ..........., as he had always been enthusiastic and attentive.

Fill in the blank with the most appropriate word: The politician’s speech was full ___ of designed to win over the crowd without saying much of substance.
Which of the following compounds contains a carbonyl group?
The first isolated restriction endonuclease was:
The number of individuals in the reproductive age group is more than the number of individuals in the pre-reproductive age group, the shape of its age pyramid would reflect the growth status of the population as:
Corner points of a feasible bounded region are \((0, 10)\), \((4, 2)\), \((3, 7)\) and \((10, 6)\). Maximum value 50 of objective function \(z = ax + by\) occurs at two points \((0, 10)\) and \((10, 6)\). The value of \(a\) and \(b\) are:
The function $f(x) = \begin{vmatrix} x^{2} & x \\ 3 & 1 \end{vmatrix}, x \in \mathbb{R}$ has:
Which of the following is a voluntary scheme of certification of agricultural products (raw and processed) for safeguarding the health of consumers?
Find the errors in underlined part:
She is one of those rare individuals who goes out of her way to help others.
Baculoviruses are pathogens that attack:
The Ecological Debt Day (Earth shoot day) is calculated as follows:
Consider the production function \(q = f(x_1, x_2)\) where the firm produces \(q\) amount of output using \(x_1\) amount of factor 1 and \(x_2\) amount of factor 2. The firm decides to increase the employment level of both factors by \(t\) (\(t>1\)). Identify the equation for decreasing returns to scale from the following:
............... of an input is defined as the change in output per unit of change in the input when all other inputs remain constant.
Which of the following is not true about Ibn Battuta?
Match List-I with List-II: \[ \begin{array}{|c|l|c|l|} \hline \textbf{List-I} & & \textbf{List-II} & \\ \hline (A) & \text{Relationship between the variable input and output.} & (III) & \text{Law of Variable Proportions} \\ \hline (B) & \text{Output per unit of variable input.} & (I) & \text{Average Product} \\ \hline (C) & \text{Change in output per unit of change in the input.} & (II) & \text{Marginal Product} \\ \hline (D) & \text{The marginal product of a factor input initially rises with its employment level.} & (IV) & \text{Total Product} \\ \hline \end{array} \]
Find the correct statement/statements. (A) Goods which are consumed together are called complementary goods.
(B) The market demand curve can be derived as a vertical summation of the individual demand curves.
(C) Price elasticity of demand is a measure of the responsiveness of the demand for a good to changes in its price.
(D) If the consumer’s preferences change in favor of a good, the demand curve for such a good shifts leftward.
Let AX = B be a system of three linear equations in three variables. Then the system has
(A) a unique solution if |A| = 0
(B) a unique solution if |A| $\neq$ 0
(C) no solutions if |A| = 0 and (adj A) B $\neq$ 0
(D) infinitely many solutions if |A| = 0 and (adj A)B = 0
Choose the correct answer from the options given below: