List of top Questions asked in CUET (PG)

The signal flow diagram shown represents a feedback system subjected to a disturbance W (s). The transfer function relating output y(s) to w(s) with reference [R (s)= 0], is:-

If X=[a_ij], i≥1, j≤n, with a_ij=i·j
Then number of linearly independent Rows are:

Match List-I and List-II

LIST I		LIST II
A.	Singular Matrix	I.	Determinant is always one.
B.	Real Symmetric Matrix	II.	Digonal element are necessarily either purely imaginary or zero
C.	Skew-Hermitian Matrix	III.	Eigen values are always Real
D.	Orthogonal Matrix	IV.	Determinant is always zero

Choose the correct answer from the options given below:

\(f_{x,y}(x,y)=\begin{cases}   (x+y)       & \quad  0\le x\le 1,0\le y\le 1 \\     0  & \quad \text{otherwise }   \end{cases}\)
The Probability \(P(x+y\le1)\) is:

Pankaj Advani is associated with which sports?

Match List I with List II:

List I		List II
(A)	Vishakhapatnam Port	(I)	Is a natural harbour situated at the head of queen of Arabian sea.
(B)	Paradwip Port	(II)	Is a land locked harbour.
(C)	Kandla Port	(III)	Has deepest harbour and is situated in Mahanadi delta.
(D)	Kochchi Port	(IV)	Situated at the head of Gulf of Kuchchh.

Choose the correct answer from the options given below:

Match List I with List II:

List I		List II
(A)	Speedy increase in the milk production	(I)	Green Revolution
(B)	Increase in oil-seeds production	(II)	White Revolution
(C)	Increase in the fish production	(III)	Yellow Revolution
(D)	Increase in agricultural production by use of technology	(IV)	Blue Revolution

Choose the correct answer from the options given below:

Given below are two statements:
Statement I : Konkan Railway is a 760 km long rail route which connects Roha in Maharashtra to Mangalore in Karnataka.
Statement II : The state of Maharashtra, Karnataka, Gujrat and Tamil Nadu are partners in the above undertaking.
In the light of the above statements, choose the correct answer from the options given below:

The most expensive Indian painting sold in 1961 was painted by:

Japan's former longest serving prime minister who was shot dead while giving a compaign speech. His name was ___ .

Which one of the following is more useful and effective for a quick visualization of a limited amount of information?

In the equation \(y_i = β_0+β_1.X_1+ε_1, \ β_0\) stands for

Given below are two statements about a normally distributed data.
Statement I : 95.45% of the occurrences will lie between \(\bar {X}±3σ\).
Statement II : 68.27% of the occurrences will lie between \(\bar {X}±1σ\).
In the light of the above statements, choose the correct answer from the options given below:

Read the given statements about correlation carefully and identify the correct statements.
A. A positive relation means that the variables vary in the same direction.
B. If two or more variables are related in a statistical way, is sufficient to conclude that a cause and effect relation exists.
C. A negative relation means that the two variables vary in the opposite direction.
D. Pearson's Product-Moment Method is a method used to calculate r.
Choose the correct answer from the options given below:

Match List I with List II :

List I (Method)		List II (Characteristic)
(A)	Mean	(I)	Identify what is most common
(B)	Median	(II)	Based on sound mathematics
(C)	Mode	(III)	Square-root of the variance
(D)	Standard deviation	(IV)	Divides into 2 equal parts

Choose the correct answer from the options given below:

Ravi invested certain sum on simple interest. He invested two-third of his sum at 7% p.a and the remaining at 8% p.a. In 3 years he earned ₹1320 as interest. Find the sum invested by him (in ₹).

In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?

If sec 5 A = Cosec A, then the value of A is

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A): If volumes of two spheres are in the ratio 125:64, then their surface areas will be in the ratio 25:16.
Reason (R): If volumes of two spheres are V1, V2 and their respective surface areas are S1, S2, then
\(\frac{S_1}{S_2} =(\frac{V_1}{V_2})^\frac{2}{3}\)
In the light of the above statements, choose the most appropriate answer from the options given below:

Which one of the following options is considered as the relative measure of dispersion?

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

Let F: R³ →R² be the linear map defined by F(x, y, z) = (3x+2y-4z, x-5y+3z). The basis of R³ is S and basis of R² is S', where S = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} and S' = {(1, 3), (2, 5)}. Then the matrix of F in the bases of R³ and R² is

If 5x+4y=83 and \(\frac{2x}{3y}=1\frac{1}{21}\) then the value of x²-y² is:

Consider the trigonometric equation $ \tan(x) - \tan(y) = 0 $, where $x$ and $y$ are not odd multiples of $ \frac{\pi}{2} $. Then the solution of this equation is:

A sample was excited by 4358 Å line of mercury. A Raman line was observed at 4447 Å. Calculate Raman Shift in cm^-1