Recent questions tagged gate2015

What are the eigenvalues of the following matrix? $$\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$$$2$ and $3$$-2$ and $3$$2$ and $-3$$-2$ and $-3$

For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $$\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & ...

Match the drugs in $\text{Group I}$ with their mechanism of action in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hline ...

The limit of the function $\bigg (1 + \dfrac{x}{n} \bigg )^n$ as $n \to \infty$ is$\ln x$$\ln \dfrac{1}{x}$$e^{-x}$$e^x$

Match the cells in $\text{Group I}$ with their corresponding entries in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hlin...

Plasmid DNA $(0.5 \: \mu g)$ containing an ampicillin resistance marker was added to $200 \: \mu l$ of competent cells. The transformed competent cells were diluted $10,0...

Match the reagents in $\text{Group I}$ with their preferred cleavage sites in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \...

$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.

Choose the CORRECT sequence of steps involved in cytoplast production.Digestion of cell wall $\to$ protoplast viability $\to$ cybrid formation $\to$ osmotic stabilizerOsm...

Match the antibiotics in $\text{Group I}$ with their modes of action in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline ...

The diameters of a large and a small vessel are $1.62$ m and $16.2$ cm. ,respectively. The vessels are geometrically similar and operated under similar volumetric agitate...

If $A = \begin{bmatrix} 4 & 2 \\ 1 & 3 \end{bmatrix}$, then $A^2+3A$ will be$\begin{bmatrix} 30 & 20 \\ 10 & 20 \end{bmatrix} \\$$\begin{bmatrix} 28 & 10 \\ 4 & 18 \end{b...

Consider the following multiple sequence alignment of four DNA sequences.$$\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{arra...

The $K_i$ of a novel competitive inhibitor designed against an enzyme is $2.5 \: \mu M$. The enzyme was assayed in the absence or presence of the inhibitor $(5 \: \mu M)$...

A heterozygous tall plant $(Tt)$ was crossed with a homozygous dwarf plant $(tt)$. The resultant seeds were collected. If five seeds are chosen at random, then the probab...

Assuming random distribution of nucleotides, the average number of fragments generated upon digestion of a circular DNA of size $4.3 \times 10^5$ bp with $\textit{Alu}I (...

A synchronous culture containing $1.8 \times 10^5$ monkey kidney cells was seeded into three identical flasks. The doubling time of these cells is $24$ h. After $24$ h, t...

An $\textit{in vitro}$ translation system can synthesize peptides m all three reading frames of the RNA template. When $\text{5’ - UCUCUCUC - (UC)_n -UCUCUCUC - 3’}$ was...

Three distinct antigens $X, Y$ and $Z$ were used to raise antibodies. Antigen $Z$ was injected in a mouse on day zero followed by the administration of antigens $X$ and $...

The standard free energy change $(\Delta G' ^\circ)$ for ATP hydrolysis is $-30 kJ \cdot \text{mole}^{-1}$. The $\textit{in vivo}$ concentrations of ATP, ADP and $P_i$ in...

In a fed-batch culture, $200 \text{ g . L}^{-1}$ glucose solution is added at a flow rate of $50 \text{ L . h}^{-1}$ . The initial culture volume (at quasi steady state) ...

Cytoplasmic extract from the wild type strain of a bacterium has the ability to convert a colorless substrate $(S)$ to a colored product $(P)$ via three colorless interme...

Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the sam...

Biomass is being produced in a continuous stirred tank bioreactor of $750$ L capacity. The sterile feed containing $8 \: g \cdot L^{-1}$ glucose as substrate was fed at a...

A linear double stranded DNA of length $8$ kbp has three restriction sites. Each of these can either be a $\textit{Bam}\text{HI}$ or a $\textit{Hae}III$ site. The DNA was...