List of top Questions asked in TS PGECET- 2026

A continuous random variable \(X\) has the density function \[ f(x)= \begin{cases} e^{-x}, & x>0, 0, & \text{elsewhere}, \end{cases} \] then the expected value of \[ g(x)=e^{\frac{2x}{3}} \] is

How many minimum number of iterations are required to get an accuracy of \(0.001\) for the interval \([1,3]\) in the bisection method?

The general solution of \[ \log\left(\frac{dy}{dx}\right)=ax+by \] is

The value of \[ \left| \begin{array}{ccc} \log x & \log y & \log z \log ax & \log ay & \log az \log bx & \log by & \log bz \end{array} \right| \] is

For a given \[ u(x,y)=x^3-3xy^2+3x^2-3y^2+1, \] the analytic function \[ f(z)=u+iv \] is

The divergence of \[ \left(2x^{2}z\,\hat{i}+xy^{2}z\,\hat{j}+3yz^{2}\,\hat{k}\right) \] at the point \((1,1,1)\) is

The value of \[ \int_{0}^{\infty}\frac{x^{2}(1-x^{2})}{(1+x)^{24}}\,dx \] is

The differential equation \[ \frac{\partial^2u}{\partial x^2} +4\frac{\partial^2u}{\partial x\partial y} +4\frac{\partial^2u}{\partial y^2} -\frac{\partial u}{\partial x} -2\frac{\partial u}{\partial y} =0 \] is classified as

Let \(A=[a_{ij}]\) for \(i,j=1,2,3,\ldots,n\) be an \(n\times n\), \((n>1)\) matrix such that \[ a_{ij}= \begin{cases} i!, & \text{if } i=j, j, & \text{if } i>j, 0, & \text{if } i<j. \end{cases} \] Which one of the following is correct?

Incorrectly matched pair?

Select the technique used to predict ligand binding orientation?

A gene consists of 900 nucleotide bases. How many amino acids will it code?

Which resource is NOT primarily used for protein analysis?

Which database stores 3D structures of biomolecules?

Which database provides non-redundant protein sequences?

FASTA format contains

Which technique is used in proteomics?

Which is NOT a force field?

Which of the following is NOT a challenge in gene therapy?

A major limitation of RAPD is

What does a genomic DNA library represent?

Southern blotting is used to detect

A key difference between Southern and Northern blotting is that Northern blotting

A major advantage of a cDNA library over a genomic library is that cDNA

Insertional inactivation is commonly used for screening recombinants in