Recent questions tagged gatebt-2022

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What is the order of the differential equation given below?$\dfrac{d^{2}y}{dx^{2}} – 6x = 3x^{4} – 2x^{3} + 2$$1$$2$$3$$4$
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If the eigenvalues of a $2 \times 2$ matrix $P$ are $4$ and $2,$ then the eigenvalues of the matrix $P^{-1}$ are$0, 0$$0.0625, 0.25$$0.25, 0.5$$2, 4$
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For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are $100$ and $200 \; \text{W m}^{-2} \text{K}^{-1},$ respectively. The thickness and ...
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Match the media component (Column I) with its role (Column II).$$\begin{array} {ll} \textbf{Column I} & \textbf{Column I} \\ \text{P. Sucrose} & \text{1. Anti-foam agen...
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The binding free energy of a ligand to its receptor protein is $-11.5 \; \text{kJ mol}^{-1}$ at $300 \; \text{K.}$ What is the value of the equilibrium binding constant?U...
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The overall stoichiometry for an aerobic cell growth is$3 \text{C}_{6} \text{H}_{12} \text{O}_{6} + 2.5 \text{NH}_{3} + \text{O}_{2} \rightarrow 1.5 \text{C}_{a} \text{H}...
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In binomial nomenclature, the name of a bacterial strain is written with the first letter of __________ word(s) being capitalized.firstsecondneitherfirst and second
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The type of nucleic acid present in $\lambda$-phage isDouble stranded $\text{DNA}$Single stranded circular $\text{DNA}$Single stranded $\text{DNA}$Single stranded $\text{...
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Which of the following statements about reversible enzyme inhibitors are $\text{CORRECT}?$Uncompetitive inhibitors bind only to the enzyme-substrate complexNon-competitiv...
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Match the component of eukaryotic cells (Column I) with its respective function (Column II).$$\begin{array}{lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. Lyso...
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In animal cells, the endogenously produced $\text{miRNAs}$ silence gene expression bybase pairing with the $3’$-untranslated region of specific $\text{mRNAs}$blocking $\t...
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Terpenoids are made of _________ units.amino acidcarbohydrateisoprenetriacylglycerol
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Match the microbial product (Column I) with its respective application (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. Methane} & &...
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Which of the following is $\text{NOT}$ used for generating an optimal alignment of two nucleotide sequences?Gap penaltiesMatch scoresMismatch scoresNucleotide composition
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The recognition sequences of four Type-II restriction enzymes $\text{(RE)}$ are given below. The symbol $(\downarrow)$ indicates the cleavage site. Identify the $\text{RE...
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Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific re...
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Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid n...
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A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is $0.5 \frac{\text{g biomass}}{\text{g substrate}}.$ The initial ...
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The degree of reduction of lactic acid $(\text{C}_{3} \text{H}_{6} \text{O}_{3})$ is __________.
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Consider a nonlinear algebraic equation, $x\ln x + x – 1 = 0.$ Using the Newton-Raphson method, with the initial guess of $x_{0} = 3,$ the value of $x$ after one iteratio...
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The probability density function of a random variable $X$ is $p(x) = 2e^{-2x}.$ The probability $P(1 \leq X \leq 2)$ (rounded off to two decimal places) is _________.
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The maximum value of the function $f(x) = 3x^{2} – 2x^{3}$ for $x>0$ is ________.
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The specific growth rate of a yeast having a doubling time of $0.693 \; \text{h}$ (rounded off to nearest integer) is ________ $\text{h}^{-1}.$
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A fermentation broth of density $1000 \; \text{kg m}^{-3}$ and viscosity $10^{-3} \; \text{kg m}^{-1} \text{s}^{-1}$ is mixed in a $100\;\text{L}$ fermenter using a $0.1 ...
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For a pure species, the slope of the melting line$$\frac{dP}{dT} \; \text{at} \; -2 \; ^{\circ} \textrm{C} \; \text{is} -5.0665 \times 10^{6} \text{Pa K}^{-1}.$$The diff...
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Which of the following conditions will contribute to the stability of a gene pool in a natural population?Large populationNo net mutationNon-random matingNo selection $...
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Match the media component used in mammalian cell culture (Column I) with its respective role (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\...
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Match the cell type (Column I) with its function (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. B cells} & & \text{1. Humoral immu...
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A $2\times 2$ matrix $\textbf{P}$ has an eigen value $\lambda_{1}=2$ with eigenvector $x_{1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ and another eigenvalue $\lambda_{2}=5...
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Match the stationary phase (Column I) with its corresponding chromatography technique (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{...
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Which of the following statements are $\text{CORRECT}$ for a controller?In a proportional controller, a control action is proportional to the errorIn an integral controll...
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Which of the following are CORRECT about protein structure?Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atomsTertia...
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The enzymes involved in ubiquitinylation of cell-cycle proteins are$\text{E}_{1}$ and $\text{E}_{2}$ Only$\text{E}_{1}$ and $\text{E}_{3}$ Only$\text{E}_{1}$ and $\text{E...
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The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is $\text{CORRECT}?$I...
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Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food?InfraredCircular dichroismNuclear...
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Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a $\text{DNA}$ base pair mismatch. The $\text{CORRECT}$ combination of enzymes that are inv...
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Consider the ordinary differential equation $\dfrac{dy}{dx} = f(x,y) = 2x^{2} – y^{2}.$ If $y(1)=1,$ the value(s) of $y(1.5),$ using the Euler’s implicit method $\left[y_...
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Which of the following statements are $\text{CORRECT}$ for an enzyme entrapped in a spherical particle?Effectiveness factor is ratio of the reaction rate with diffusion-l...
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Which of the following is(are) $\text{COMMON}$ feature(s) for both aerobic and anaerobic bacterial cultures?Glycolysis$\text{NAD}^{+}$ is the oxidising agentOxidative pho...
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Which of the following plot(s) is(are) $\text{CORRECT}$ for an enzyme that obeys Michaelis-Menten kinetics, assuming $[S] \ll K_{m}$?$[S]$ is the concentration of the sub...