List of top Questions asked in AP PGECET

Consider an ideal vapour compression refrigeration cycle working on R-134a refrigerant. The COP of the cycle is 10 and the refrigeration capacity is 150 kJ/kg. The heat rejected by the refrigerant in the condenser is _______ kJ/kg.

If \(u=\dfrac{xy}{x+y}\), then \(x\dfrac{\partial u}{\partial x}+y\dfrac{\partial u}{\partial y}\) is equal to

Consider the differential equation \[ \frac{d^{2}y}{dx^{2}}+3\frac{dy}{dx}+2y=0 \] with the conditions \(y(0)=20\) and \(y'(0)=10\). Then, the value of \[ y(1)e^{2}-50e+20= \] is

If the Laplace transform of a function \(f(t)\) is given by \[ \frac{s+3}{(s+1)(s+2)}, \] then the value of \(f(\ln2)\) is

For what value of the constant \(k\), the function \[ f(x)= \begin{cases} kxe^{-2x}, & x>0 \\ 0, & \text{otherwise} \end{cases} \] is a probability density function?

The random variable \(X \sim \text{Bin}(11,p)\). If \(P(X=8)=P(X=7)\), then \(p=\)

Using Trapezoidal rule with step size of 0.1, the value of the integral \[ \int_{0}^{0.3} f(x)\,dx \]

The system of equations \(2x+y=5,\; x-3y=-1,\; 3x+4y=k\) is consistent when \(k\) is

Let \[ A= \begin{pmatrix} 1 & x & 2x \\ 1 & 3x & 5x \\ 1 & 3 & 4 \end{pmatrix}, \qquad x\neq0. \] If \(\det(A)=0\), then \(x=\)

Let \(f(x)=\begin{cases A+2x,&\text{if }x \\ 1+x^{2},&\text{if }x\ge3 \end{cases}\). If the function \(f(x)\) is continuous at \(x=3\), then the value of \(A\) is}

A circular plasmid of 6 kb has a single EcoRI site. After complete digestion, how many fragments are produced?

A DNA probe of 1000 nucleotides incorporates radioactive nucleotides at 10% efficiency. Number of labelled nucleotides is

In a batch culture, biomass concentration increases from \(0.5~g/L\) to \(4~g/L\) in 2 hours. The specific growth rate (\(\mu\)) is

Which file format includes both sequence and quality scores?

The European Bioinformatics Institute maintains which nucleotide database?

Which database contains 3D structures of biomolecules?

Which method is used for local sequence alignment?

For a culture, \( \mu_{max}=0.8~h^{-1} \) and \( K_s=0.2~g/L \). At substrate concentration \( S=0.2~g/L \), \( \mu \) is

For a continuous reactor with \(D=0.2~h^{-1}\), residence time (\(\tau\)) is

In cloning, reprogramming of somatic nucleus is achieved by

Yeast artificial chromosomes (YACs) are useful because they

Which of the following is a component of innate immunity?

Graft versus host disease occurs when

Which of the following restriction enzymes produces blunt ends?

A key difference in animal cell culture media is the requirement for