List of top Questions asked in CUET (UG)

Consider the LPP: Minimize Z = x + 2y subject to 2x + y $\ge$ 3, x + 2y $\ge$ 6, x, y $\ge$ 0. The optimal feasible solution occurs at
The corner points of the feasible region associated with the LPP: Maximise Z = px + qy, p, q > 0 subject to 2x + y $\le$ 10, x + 3y $\le$ 15, x,y $\ge$ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). If optimum value occurs at both (3, 4) and (0, 5), then

The probability distribution of a random variable X is given by

X012
P(X)\(1 - 7a^2\)\(\tfrac{1}{2}a + \tfrac{1}{4}\)\(a^2\)


If \(a > 0\), then \(P(0 < X \leq 2)\) is equal to

The solution of the differential equation $\log_e(\frac{dy}{dx}) = 3x + 4y$ is given by
Which of the following are linear first order differential equations?
(A) $\frac{dy}{dx} + P(x)y = Q(x)$
(B) $\frac{dx}{dy} + P(y)x = Q(y)$
(C) $(x - y)\frac{dy}{dx} = x + 2y$
(D) $(1 + x^2)\frac{dy}{dx} + 2xy = 2$
Choose the correct answer from the options given below:
The area (in sq. units) of the region bounded by the parabola y2 = 4x and the line x = 1 is
The integral I = $\int \frac{e^{5\log_e x} - e^{4\log_e x}}{e^{3\log_e x} - e^{2\log_e x}} dx$ is equal to
$\int_{1}^{4} |x - 2| dx$ is equal to
If the maximum value of the function f(x) = $\frac{\log_e x}{x}$, x > 0 occurs at x = a, then a2f''(a) is equal to
The interval, on which the function f(x) = x2e-x is increasing, is equal to
If y = 3e2x + 2e3x, then $\frac{d^2y}{dx^2} + 6y$ is equal to
If A = $\begin{bmatrix} 0 & 0 & \sqrt{3} \\ 0 & \sqrt{3} & 0 \\ \sqrt{3} & 0 & 0 \end{bmatrix}$, then |adj A| is equal to
If A is a square matrix and I is the identity matrix of same order such that A2 = I, then (A - I)3 + (A + I)3 - 3A is equal to
If A = $\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$ and B = $\begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}$ then the matrix AB is equal to
Let A = [aij]n x n be a matrix. Then Match List-I with List-II
List-I
(A) AT = A
(B) AT = -A
(C) |A| = 0
(D) |A| $\neq$ 0
List-II
(I) A is a singular matrix
(II) A is a non-singular matrix
(III) A is a skew symmetric matrix
(IV) A is a symmetric matrix
Choose the correct answer from the options given below:
The arena is also described in the Mallapurāṇa. It is not the mat as is used to-day. The arena is known as ākhādhaka. It is high, levelled and low. Its dimensions are three devamāna (101 hastas or cubits), daityamāna (50 hastas) and martyamāna (21 hastas). It is square, triangular and circular. The earth with kankar, iron, wood, stone, thorn etc. should be avoided. It appears that the general dimension was 21 hastas which is equal to about 30 feet, and the devamāna and daityamāna seem to be more for rhetorics rather than actual use. The earth must be pleasing to see and as soft as that required for seed-laying and should be a hand high and levelled. It should be worshipped and Hari should be placed there and a bījapūraka be placed in the center of the arena. After worshiping 'Govinda' the king should see the wrestling.
India even now possesses a wealth of manuscripts running into many millions. Tradi- tionally, they were written on materials such as birch bark (bh¯urja pattra) and palm leaves. Birch bark was mainly used for north Indian scripts, and the writing was done with ink made of finely ground charcoal powder in a medium of gum, or soot from oil lamps. With palm leaves, there was no ink; rather, a sharp point was used to tear the leaf’s surface film; it would then be smeared with a paste of charcoal powder mixed in oil.
The art of paper making was introduced into India by the 11th century CE, perhaps from China through Nepal. The earliest extant Indian paper manuscript is dateable to 1105 CE; it was made from the fibers of a mountain plant. By the later half of the 15th century, Kashmir was producing paper of attractive quality from the pulps of rags and hemp, with lime and soda added to whiten the pulp. Sialkot, Zafarabad, Patna, Murshidabad, Ahmedabad, Aurangabad and Mysore were among the well- known centers of paper production.
Arrange the following steps of calculation of National Income in sequence: (A) Deduction of intermediate cost
(B) Estimation of value of output
(C) Add net factor income from abroad
(D) Deduction of depreciation and NIT
With keeping tax rate (T) constant if government purchases (G) increase, then arrange the following statements considering the effect on total income and output: (A) Rise in Plan Aggregate expenditure.
(B) Government runs a deficit when G exceeds T.
(C) Equilibrium income level increased.
(D) Aggregate demand schedule shifts upward.
In deficit condition of Balance of Payment if the central bank sells foreign exchange then this particular transaction is known as ........
Suppose an Indian manufacturer of steel acquires a steel manufacturing unit in Europe. This type of transactions are recorded in which of the following?
Arrange the following conditions from most to least liquid form: (A) Currency + Demand Deposit + Savings deposits with Post Office savings banks.
(B) Currency + Demand Deposit + Net time deposits of commercial banks + Total deposits with Post Office savings organizations.
(C) Currency + Demand Deposit.
(D) Currency + Demand Deposit + Net time deposits of commercial banks.
Arrange the following steps of estimation of National Income by income method in the proper sequence: (A) Identification and classification of producing firms.
(B) Estimation of NDP\textsubscript{FC}.
(C) Estimation of NNP\textsubscript{FC}.
(D) Classification of factor income.
The difference between the value of exports and the value of imports of goods of a country in a given period of time is known as by what name?
When governments intervene in the market to expand or reduce the demand, this course of action is ........