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Which one of the following relations holds true for the specific growth rate $(\mu)$ of a microorganism in the death phase?$\mu=0$$\mu<0$$\mu=\mu_{\text{max}}$$0<\mu<\mu_...
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How many $3$-tuples are possible for the following amino acid sequence?MADCMWDISEASE$4$$5$$11$$12$
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How many different protein sequences of $100$ residues can be generated using $20$ standard amino acids?$100^{20}$$100 \times 20$$20^{100}$$100! \times 20!$
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In DNA sequencing reactions using the chain termination method, the ratio of ddNTPs to dNTPs should be$0$$< 1$$1$$>1$
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Which one of the following graphs represents uncompetitive inhibition?
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Choose the appropriate pair of primers to amplify the following DNA fragment by the polymerase chain reaction (PCR).$$\textrm{5’ – GACCTGTGG- – – – – – – – – – – – – – – ...
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Consider the following infinite series:$$1+ r+r^2 +r^3+ \dots \dots \infty$$ If $r = 0.3$, then the sum of this infinite series is ____________
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$$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$$ The system of linear equations in two variables shown above will have infinite solutions, if and onl...
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The interaction between an antigen $(Ag)$ and a single-chain antibody $(Ab)$ was studied using Scatchard analysis. The result is shown below.The affinity of interaction a...
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An isolated population on an island has the following genotypic frequencies: $$\begin{array}{|c|c|c|c|} \hline \textrm{Genotype} & AA & Aa & aa \\ \hline \textrm{Frequenc...
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How many rooted and unrooted phylogenetic trees, respectively, are possible with four different sequences?$3$ and $15$$15$ and $3$$15$ and $12$$12$ and $3$
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Match the compounds in $\text{Group I}$ with the correct entries in $\text{Group II}$.$\begin{array}{|l|l|l|l|}\hline & \textbf{Group I} & & \textbf{Group II} \\ \hline ...
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What are the eigenvalues of the following matrix? $$\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$$$2$ and $3$$-2$ and $3$$2$ and $-3$$-2$ and $-3$
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For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $$\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & ...
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Match the drugs in $\text{Group I}$ with their mechanism of action in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hline ...
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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}$$e^x$
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Match the cells in $\text{Group I}$ with their corresponding entries in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hlin...
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Oxygen transfer was measured in a stirred tank bioreactor using dynamic method. The dissolved oxygen tension was found to be $80 \%$ air saturation under steady state con...
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Match the microorganism in $\text{Group I}$ with their fermentation products in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II}...
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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...
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Match the reagents in $\text{Group I}$ with their preferred cleavage sites in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \...
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$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
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Choose the CORRECT sequence of steps involved in cytoplast production.Digestion of cell wall $\to$ protoplast viability $\to$ cybrid formation $\to$ osmotic stabilizerOsm...
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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 ...
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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...
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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...
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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...
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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 $(5 \: \mu M)$...
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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...
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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 (...
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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...
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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...
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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 $...
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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...
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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) ...
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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...
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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...
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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...
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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...
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Choose the most appropriate word from the options given below to complete the following sentence.A person suffering from Alzheimer’s disease___________ short-term memory ...