List of top Questions asked in CUET (PG)

The surface area of the sphere x² + y² + z² = 9 lying inside the cylinder x² + y² = 3y is

The Ombudsman in a newspaper organisation represents the point of view of the ___.

The orthogonal trajectories of the family of curves y = \(ax^3\) is

The minimum distance of the point (3, 4, 12) from the sphere x² + y² + z² = 1 is

The work done by the force \(\overrightarrow F = (x^2-y^2)\hat{i} + (x+y)\hat{j}\) in moving a particle along the closed path C containing the curves x + y = 0, x²+ y² = 16 and y = x in the first and fourth quadrant is

Given below are two statements:
Statement-I : The price consumption curve is negatively sloped for a Giffen good. 
Statement-II: All Giffen goods are inferior goods but all inferior goods are not Giffen goods. 
In the light of the above statements, choose the correct answer from the options given below:

Which one from the four answer figures should come at the right of the problem figures to complete the series logically?

Consider the linear mapping F: R² →R² defined by F(x, y) = (3x+4y, 2x-5y) and following bases of R²: E= {e₁, e₂} = {(1, 0), (0, 1)} and S = {u₁, u₂} = {(1, 2), (2, 3)}. Then the matrix A representing F relative to the basis E is:

What day of the week was on April 15, 1954?

If \(\vec{A} =(3x^2+6y)\hat{i}—14yz\hat{j} +20xz^2\hat{k}\), then the line integral \(\int\limits_{C} \vec{A}.d\bar{r}\) from (0.0, 0) to (1, 1.1), along the curve C ;x=t, y=t². z=t³ is:

Given below are two statements:
Statement I: Agricultural conditions in the Gangetic basin were vastly different from those of the Indus culture. 
Statement II: Canals and dykes were of great significance in Gangetic basin. 
In the light of the above statements, choose the correct answer from the options given below :

Match List-I and List-II

LIST I		LIST II
A.	Flexion	I.	Kicking the Ball
B.	Extension	II.	Curling up by Dumbbell
C.	Abduction	III.	Leg Splitting
D.	Circumduction	IV.	Bowling in Cricket

Choose the correct answer from the options given below:

The total cost of manufacturer is C=5000+1000q-500q²+ 2q3/3.The value of q for which MC = AVC will be :-

Match the idioms in List I with the meanings in List II

	LIST I		LIST II
A	Pour oil on troubled waters	I	not to commit oneself
B	Rule the roast	II	to find fault with
C	Sit on the fence	III	to pacify the matters
D	Pick holes	IV	To dominate

Choose the correct answer from the options given below:

If the curl of vector \(\vec{A} = (2xy-3yz)\hat{i} +(x^2+axz −4z^2)\hat{j}-(3xy+byz)\hat{k}\) is zero, then a + b is equal to :

What will be the separation between the coherent sources formed by a bi-prism whose inclined faces makes an angle of 2° with its base, the slit source being 0.10 m away from the bi-prism (Given μ = 1.5)?

The average age of three boys is 22 years. Eight times the age of the youngest of them is 3 times the sum of the ages of the other two boys. Find the age of the eldest of them if he is 8 years older to the youngest of them.

PIV of a SCR is 650V. Find out the required Voltage if the safety factor is 2.

If 20% of A = B and 40% of B = C. then the value of 3C is:

If AMAN equals 79, then HAPPY= ?

If \(\overrightarrow F=2z\hat{i}-x\hat{j}+y\hat{k}\) and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x²,z=2, then value of \(\iiint\limits_V\overrightarrow FdV\)is

The volume of the cylindrical column standing on the area common to the parabolas \(y^2 = x\), \(x^2 = y\) and cut off by the surface \(z = 12+y-x^2\) is:

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: India, that is Bharat shall be Union of States.
Reason R: States have right to recede.
In the light of the above statements, choose the most appropriate answer from the options given below:

In the given circuit, current through 30 resistor is equal to.

Find the sum of following hexadecimal numbers (7CA)₁₆+ (4B2)₁₆ =?