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The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
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The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
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The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
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The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
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Protein concentration of a crude enzyme preparation was $10\:mg\:mL^{-1}$. $10\:\mu L$ of this sample gave an activity of $5\:\mu mol\:min^{-1}$ under standard assay cond...
1 1 vote
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In general, which one of the following statements is $NOT \;CORRECT$?Hydrogen bonds result from electrostatic interactionsHydrogen bonds contribute to the folding energy ...
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For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated $DNA$?$KpnI$$DpnI$$XhoI$$MluI$
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Match the organelles in $Group\; I$ with their function in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Lysosome} & \text{1. Digestion...
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Which of the following statements are $CORRECT$ when a protein sequence database is searched using the $BLAST$ algorithm?A larger E-value indicates higher sequence simila...
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Which one of the following is coded by the $ABO$ blood group locus in the human genome?Acyl transferaseGalactosyltransferaseTransposase$\beta$-Galactosidase
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Which of the following factors affect the fidelity of $DNA$ polymerase in polymerase chain reaction?$Mg^{2+}$ concentration$pH$Annealing temperature$P$ and $Q$ only$P$ an...
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$Group\; I$ lists spectroscopic methods and $Group\; II$ lists biomolecular applications of these methods. Match the methods in $Group\; I$ with the applications in $Grou...
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The hexapeptide $P$ has an isoelectric point $(pI)$ of $6.9$. Hexapeptide $Q$ is a variant of $P$ that contains valine instead of glutamate at position $3$. The two pepti...
1 1 vote
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Antibody-producing hybridoma cells are generated by the fusion of a$T$ cell with a myeloma cell$B$ cell with a myeloma cellmacrophage with a myeloma cell$T$ cell and a $B...
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Which of the following statements are CORRECT about the function of fetal bovine serum in animal cell culture?lt stimulates cell growthIt enhances cell attachmentlt provi...
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Which one of the following covalent linkages exists between $7$-Methyl guanosine $(m^{7}G)$ and $mRNAs$?${2}'-{3}'$ triphosphate${3}'-{5}'$ triphosphate${5}'-{5}'$ tripho...
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Which one of the following amino acid residues will destabilize an $\alpha$-helix when inserted in the middle of the helix?ProVallIeLeu
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What is the solution of the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x}{y}$, with the initial condition, at $x=0, y=1?$$x^{2}=y^{2}+1$$y^{2}=x^{2}...
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The Laplace transform of the function $f\left ( t \right )=t^{2}+2t+1$ is $\dfrac{1}{s^{3}}+\dfrac{3}{s^{2}}+\dfrac{1}{s} \\$$\dfrac{4}{s^{3}}+\dfrac{4}{s^{2}}+\dfrac{1}{...
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Which of the following factors can influence the lag phase of a microbial culture in a batch fermentor?Inoculum sizeInoculum ageMedium composition$P$ and $Q$ only$Q$ and ...
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Which one of the following statements is $CORRECT$ about proportional controllers?The initial change in control output signal is relatively slowThe initial corrective act...
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Match the instruments in $Group\; I$ with their corresponding measurements in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Manometer} ...
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Which of the following statements is $ALWAYS\; CORRECT$ about an ideal chemostat?Substrate concentration inside the chemostat is equal to that in the exit streamOptimal d...
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Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$Assertion $[a]$ : It is possible to regenerate a whole plant from a single pla...
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A UV-visible spectrophotometer has a minimum detectable absorbance of $0.02$. The minimum concentration of a protein sample that can be measured reliably in this instrume...
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The difference in concentrations of an uncharged solute between two compartments is $1.6$-fold. The energy required for active transport of the solute across the membrane...
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In pea plants, purple color of flowers is determined by the dominant allele while white color is determined by the recessive allele. A genetic cross between two purple fl...
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The molecular mass of a protein is $22\:kDa$. The size of the $\text{cDNA}$ (excluding the untranslated regions) that codes for this protein is __________ $kb$ (rounded o...
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A new game is being introduced in a casino. A player can lose Rs. $100$, break even, win Rs. $100$, or win Rs. $500$. The probabilities $(P(X))$ of each of these outcomes...
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$\int _{-1}^{1}\:f\left ( x \right )dx$ calculated using trapezoidal rule for the values given in the table is ______ (rounded off to $2$ decimal places).$$\begin{array}{...
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Yeast biomass $\left ( C_{6}H_{10}O_{3}N \right )$ grown on glucose is described by the stoichiometric equation given below:$$C_{6}H_{12}O_{6}+0.48\:NH_{3}+3\:O_{2} \to 0...
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Phenolic wastewater discharged from an industry was treated with Pseudomonas $sp$. in an aerobic bioreactor. The influent and effluent concentrations of phenol were $10,0...
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In a cross-flow filtration process, the pressure drop $\left ( \Delta P \right )$ driving the fluid flow is $2$ atm, inlet feed pressure $\left ( P_{i} \right )$ is $3$ a...
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An industrial fermentor containing $10,000\:L$ of medium needs to be sterilized. The initial spore concentration in the medium is $10^{6}$ spores $mL^{-1}$. The desired ...
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The dimensions and operating condition of a lab-scale fermentor are as follows:Volume = $1\:L$Diameter = $20$ cmAgitator speed = $600$ rpmRatio of impeller diameter to fe...
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The number of molecules of a nucleotide of molecular weight $300\:g$/mol present in $10$ picomoles is ____________ $\times10^{12}$ (round off to $2$ decimal places).
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To facilitate mass transfer from a gas to a liquid phase, a gas bubble of radius $r$ is introduced into the liquid. The gas bubble then breaks into $8$ bubbles of equal r...
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The largest eigenvalue of the matrix $\begin{bmatrix} 4 &1 \\ -2& 1 \end{bmatrix}$ is ______________.
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A normal random variable has mean equal to $0$, and standard deviation equal to $3$. The probability that on a random draw the value of this random variable is greater th...
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A variable $Y$ is a function of $t$. Given that $Y\left ( t=0 \right )=1$ and $Y\left ( t=1 \right )=2,\dfrac{dY}{dt}$ in the interval $t=\left [ 0,1 \right ]$ can be ap...