List of top Questions asked in CUET (PG)

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:

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)?

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

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

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

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.

The values of x and y, if (x 567)₈+ (2yx5)₈ = (71yx)₈

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 product of two numbers is 4840. If the first number is two fifth of the second number, then what is the first number?

A sum of money lent on compound interest amounts to ₹968 in 2 years at 10% per annum interest compounded annually. find the sum.

\(\frac{108^2-104^2}{32^2-28^2} = \) _______ ?

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

Which among the following weather to provide \(Mg^{2+}\) ions to groundwater?
(A) Amphibole
(B) Biotite
(C) Plagioclase
(D) Dolomite
(E) Calcite
Choose the correct answer from the options given below:

What is the volume of a 6m deep tank having rectangular shaped top 6mx4m and bottom 4mx2m (compound through the use of prismoidal formula)

A population has 600 individuals, 150 of genotype AA, 300 of genotype Aa and 150 of genotype aa. What is the frequency of allele A ?

1 kilobyte is equal to

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

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 :

Arrange the soils of India in descending order of their percentage share in total area of the country.
A. Alfisols
B. Vertisols
C. Entisols
D. Inceptisols
Choose the correct answer from the options given below:

Which one of the following theories does not explain the origin of tides?

Using Slater's rule, the shielding constant and effective nuclear charge for the outermost electron of Mg are respectively.

Who propounded the principle of 'Maximum Social Advantage'?

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:

The all values of z, such that
√2 sin z = coshβ + isinħβ, where β is real, are