List of top Questions asked in TS PGECET

For a binomial variate \(X\) if \(n=5\) and \[ P(X=1)=8P(X=3), \] then its variance is

A capacitor of \(50\,\mu\mathrm{F}\) is connected to a \(200\ \mathrm{V}\) battery. A dielectric of \(K=4\) is inserted. Find the new capacitance and stored energy.

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

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

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

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

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?

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?

Southern blotting is used to detect

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

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

A major limitation of RAPD is

What does a genomic DNA library represent?

Which nucleotide lacks a \(3^{\prime}\)-OH group?