List of top Mathematics Questions asked in CUET (PG)

The bus admittance matrix of a power system is given as.
1     2                3
\( 1\\2\\3 \begin{bmatrix}-j50 &+j10 &+j5\\+j10&-j30&+j10\\+j5&+j10&-j25\end{bmatrix}\)
The impedance of line between bus 2 and bus 3 will be equal to____
A solar photovoltaic system feeds power to a motor of 1hp at the shaft. The motor has an efficiency of 85%. Each module has 40 multi crestline Silicone solar cells arranged in 9x5 matrix? The cell is 130 mm×130 mm and the cell efficiency is 13%. Calculate the number of photovoltaic modules required, assuming global radiation incident to the panel as 1kW/m²
If \(A = \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{bmatrix} \)and I = unit matrix, then the value of \(A^2-4A\) is:
If x is continuous random variable. and a probability density function \(f(x) = ke^{-3xl}, x ∈ (-\infty,\infty).\) The value of k is
$ \begin{vmatrix} 1+a & 1 & 1 & 1 \\ 1 & 1+b & 1 & 1 \\ 1 & 1 & 1+c & 1 \\ 1 & 1 & 1 & 1=d  \end{vmatrix} $ is equal to
Which one of the following methods estimates best area of an irregular and curved boundary?
The equation (2x + y + 1) dx + (x + 2y +1) dy = 0 represents a family of:
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion (A): The numeric differences in the forecast of demand and actual demand is known as forecast error (e).
Reasons (R): Mean Absolute Deviation \((MAD) = \frac{Σ|e|}{n}\).
In the light of the above statements, choose the most appropriate answer from the options given below:
The area of surface of solid generated by the revolution of line segment y = 2x from x = 0 to x = 2 about x-axis is equal to:
Which one of the following rings is an integral domain?
A point P(7,9) is reflected about line x = y. The new point P1 after reflection is:
To evaluate the double integral \(\int_0^8\left(\int\limits_{y/2}^{(y/2)+1}\left(\frac{2x-y}{2}\right)dx\right)dy\), we make the substitution \(u=\frac{2x-y}{2}\)and \(v=\frac{y}{2}\). The integral will reduce to
If \(\Phi(z)=c_0+c_1z^{-1}\), then \(\oint_{|z|=1}\frac{1+\Phi(z)}{z}dz\) is
Given below are two statements
Statement-I :   \(f(x)=\begin{cases} \frac{3x-2}x \quad &\text{for  0≤x≤1}\\          \frac{sin(x-1)}{x-1} \quad &\text{for} \,\, x>1 \\      \end{cases}\)
Function is continuous at x=1
Statement-II: \(f(x)=\begin{cases} \frac{xe^\frac{1}x}{1+e^{\frac1{x}}} \quad &\ ; x\neq 0\\          0\quad &\text{; } \,\, x=0 \\      \end{cases}\)
Function is continuous at origin. 
In the light of the above statements, choose the correct answer from the options given below.
A, B, C and D entered into a partnership. 'A' contributed one-third of the capital, 'B' contributed one-fourth, 'C' contributed one-fifth and 'D' contributed the rest. All four of them agreed to share profit in the ratio of their capital. What is the share of 'D' when total profit is ₹6000?
The value of surface integral \(\iint_S(9x\hat{i}-2\hat{j}-z\hat{k}).\hat{n}dS\) over the surface S of the sphere x2+y2+z2=9 where \(\hat{n}\) is the unit outward normal to surface element dS is:
If \(\overrightarrow{r}=x_1\hat{a}_{x_1}+x_2\hat{a}_{x_2}+x_3\hat{a}_{x_3}\) and \(|\overrightarrow{r}|=r\) then \(div(r^2\nabla(In\;r))\)is
The mathematical statement regarding Divergence theorem which is true:
Which of the following points lie in the convex set of points (2, 3) and (4, 1)?
A. (3.6, 1.4) 
B. (1.2, 3.8) 
C. (2.4, 2.6) 
D. (0.4, 4.6) 
Choose the most appropriate answer from the options given below:
Two trains each of legth 250 m start at the same time on two parallele tracks from point A and point B and approached each other with speed of 36 km/hr respectively. When they crossed each, it was found that one train has moved 40 km more than the other. The distance between A and B is
A train running at 90 km/h crosses a 400 m long another train running towards it on parallel tracks at 80 km/h in 18 seconds. How much time will it take to pass a 450 m long tunnel?
Find out the degree of the differential equation \(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
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.
Three containers have their volumes in the ratio 3:4:5. They are full of mixture of milk and water in the ratio 4:1, 3:1 and 5:2 respectively. The mixtures from all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is:
Ayan borrowed Rs. 50,000 from Ayush on 25th April, 2022 at 12% p.a. simple interest. Ayan cleared his debt on 18th September, 2022. How much interest is paid by Ayan?