List of top Mathematics Questions asked in CUET (PG)

A person goes in for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in which one can get 2m marks is
If each of n numbers xi = i is replaced by (i + 1)xi, then the new mean is
If each observation of a Row data whose variance is σ2 is multiplied by h, then the variance of the new set is
Which statistical method is best suitable for testing the goodness of fit between an observed and expected distribution?
If 2u=5x, is the relation between two variables u and x, and harmonic means of x is 0.8, find the harmonic mean of u.
For \(0\lt \theta \lt \pi/2\), the solution(s) of \(\sum_{m=1}^{6}cosec\left(\theta+(m-1)\frac{\pi}{4}\right)cosec(\theta+\frac{m\pi}{4})=4\sqrt{2}\) is/are
A. π/4
B. π/6
C. π/12
D. 5π/12
Choose the correct answer from the options given below:
If sin β is the GM between sin a and cos a, then cos 2β is equal to
If 2.5x=0.05 y, then find the value of \((\frac{y-x}{y+x}).\)
If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by
If f is twice differentiable function such that f''(x) = - f(x) and f'(x) = g(x), h(x) = [f(x)]2+[g(x)]2 and h(5)=11, then h(10) =
The average of 5 consecutive odd positive integers is 9. Then sum of smallest and greatest number is
The extreme points of the set \({(x, y); |x|≤2,|y|≤2}\) are
The integrating factor of the differential equation \(\frac{dy}{dx}=\frac{x^3+y^3}{xy^2}\)is
If the solution of \(x\frac{dy}{dx}+y=x^3y^6\) is \(\frac{1}{y^\alpha x^\beta}=\frac{\gamma}{2x^2}+C\), then value of \(\alpha+\beta+\gamma\) is
If \(x^2\frac{d^2y}{dx^2}-2x\frac{dy}{dx}-4y=x^4\), then particular integral (P.I) of the given differential equation is
If \(u=cos^{-1}\frac{x+y}{\sqrt{x}+\sqrt{y}}\), then the value of \(x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}\) is
With the help of suitable transform of the independent variable, the differential equation
\(x\frac{d^2y}{dx^2}+\frac{2dy}{dx}=6x+\frac{1}{x}\) reduces to the form:
If \(f(z)=\frac{1}{z^2-3z+2}\)is expanded in the region |z|<1, then
A rectangular box open at the top is to have volume of 32 cubic feets. The minimum outer surface area of the box is
The order of the permutation\(\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\   2 & 4 & 6 & 5 & 1 & 3 \end{pmatrix}\)is
The given series \(\frac{x}{1.3}+\frac{x^2}{2.4}+\frac{x^3}{3.5}+......,(x\gt0)\)is convergent in the interval
Which one of the following is not correct?
The order of the given permutation \(\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6& 7&8&9 \\2 &4& 6 &1 &7&3& 8&9 &5  \end{pmatrix}\) is:
The value of the dot product of the eigenvectors corresponding to any pair of different eigen values of a 4 × 4 symmetric positive definite matrix is
The area of the region bounded by the curve x2=4y and the straight line x = 4y - 2 is