List of top Questions asked in CUET (UG)

The determinant \(\begin{vmatrix} x & \sin\theta & \cos\theta \\ -\sin\theta & -x & 1 \\ \cos\theta & 1 & x \end{vmatrix}\) is :

The value of λ for which the matrix \(\begin{pmatrix} 1 & 0 & λ \\ 0 & 1 & 0 \\ 1 & 0 & 1 \end{pmatrix}\) is a singular matrix is :

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces, and 5 on 1 face is :

The relation R in the set A = {1, 2, 3, 4} is given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)} is :

If f(x) - 27x³ and g(x) = \((x)^{\frac{1}{3}}\), then gof(x) is :

If \(P(A)=\frac{3}{10},P(B)=\frac{2}{5}\), and P(A ∪ B) = \(\frac{3}{5}\), then \(P(\frac{B}{A})+P(\frac{A}{B})\) is equal to :

The corner points of feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px + qy where p, q > 0. The condition on p and q so that, minimum of Z occurs at (3, 0) and (1, 1) is :

The principal value of \(\sin^{-1}(\frac{1}{2})\) is :

The tangent to the parabola, x² = 2y at the point \((1,\frac{1}{2})\) makes with the x-axis an angle of :

The function f(x) - x³ , x ∈ R has :

The order and the degree of the differential equation
\(\frac{d^2y}{dx^2}=(1+\frac{dy}{dx})^{\frac{1}{2}}\)
respectively are :

If \(f(x)=\begin{cases} 2x+8, & 1\le x\le2 \\ 6x, & 2\lt x \lt4\end{cases}\), then \(\int_1^4f(x)\) is :

The area of the region bounded by the line 2y = 5x +7, x-axis and the lines x - 1 and x -3 is :

The integrating factor of the differential equation (1 +y²)dx - (tan^-1 y - x)dy = 0, is :

Which of the following is correct ?

If \(A=\begin{bmatrix} 1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\), \(B=\begin{bmatrix} 1 & -2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\) and AB = I₃, where I₃ is the unit matrix of order 3 × 3, then x + y is equal to :

If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A^-1, then the value of x is :

If the points (2, -3), (λ, -1) and (0, 4) are collinear, then the value of λ is :

If y = \(10^{10^x}\), then \(\frac{dy}{dx}\) is :

If x, y, z are different and \(A=\begin{vmatrix} x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3 \end{vmatrix}=0\), then the value of xyz is :

Which of the following statements are true with specific reference to Newton's First Law of Motion?
(A) Inertia is body's resistance to change in movement
(B) The more mass, a body has, the more it will weigh
(C) Inertia is a Swedish word(D) Rate of change of momentum
(E) Mass is the quantity of resistance to change
Choose the correct answer from the options given below:

Match the names listed in List - I with the Institutions/Ranks they are associated with listed in List- II.

List-I Names		List-II Institution/Rank
A	H C Buck	I	President IOA
B	Dorab Ji Tata	II	Modern Olympic Games
C	Pierre de Coubertin	III	Secretary General of IOA
D	G. D. Sondhi	IV	YMCA College of Physical Education, Madras (Chennai)

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Match the number of teams in List - I with their exact number of Byes listed in List - II with reference to a Knock Out Tournament.

List-I No. of Teams		List-II  No. of Byes
A	11	I	4
B	28	II	13
C	19	III	5
D	30	IV	2

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Match the terms listed in List - I with their definitions listed in List - II.

List-I Terms		List-II Definitions Defined
A	Friction	I	For every action their is equal and opposite reaction
B	Law of Inertia	II	Force required to start movement and the force pressing the two bodies together
C	Third law of motion	III	Force that resists sliding
D	Third law of motion	IV	Everything in this world is lazy requiring a force to get it on the move

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Match the Tests/Test Items listed in List - I with the equipment required for administration of Test listed in List- II

List-I Tests/Test Items		List-II Equipment
A	Harvard Step	I	Dumbbell
B	Arm Curl	II	Stop Watch
C	Back Scratch	III	Metronome
D	Zig Zag Run	IV	18" Ruler

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