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161
GATE BT 2022 | Question: 29
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 $\lambda_{2}=5,$ with eigenvector $x_{2}=\begin{pmatrix} 1 \\ 1 \end{pmatrix}.$ The matrix $\textbf{P}$ ... $\begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}$ $\begin{pmatrix} 1 & 1 \\ 1 & 0 \end{pmatrix}$
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...
Lakshman Bhaiya
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162
GATE BT 2022 | Question: 30
Match the stationary phase (Column I) with its corresponding chromatography technique (Column II). ... $\text{P-3, Q-4, R-2, S-1}$ $\text{P-4, Q-1, R-3, S-2}$
Match the stationary phase (Column I) with its corresponding chromatography technique (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{...
Lakshman Bhaiya
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163
GATE BT 2022 | Question: 31
Which of the following statements are $\text{CORRECT}$ for a controller? In a proportional controller, a control action is proportional to the error In an integral controller, a control action is proportional to the derivative of the error There is no offset in the response of the ... and $\text{R}$ Only $\text{P}$ and $\text{S}$ Only $\text{Q}$ and $\text{S}$ Only
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...
Lakshman Bhaiya
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Lakshman Bhaiya
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164
GATE BT 2022 | Question: 32
Which of the following are CORRECT about protein structure? Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atoms Tertiary structure is the three-dimensional arrangement of the polypeptide backbone atoms only Quaternary structure refers to an assembly ... Only $\text{Q}$ and $\text{R}$ Only $\text{P, Q}$ and $\text{R}$
Which of the following are CORRECT about protein structure?Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atomsTertia...
Lakshman Bhaiya
1.4k
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Lakshman Bhaiya
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165
GATE BT 2022 | Question: 33
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}_{4}$ Only $\text{E}_{1}$, $\text{E}_{2}$ and $\text{E}_{3}$
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...
Lakshman Bhaiya
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Lakshman Bhaiya
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166
GATE BT 2022 | Question: 34
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}?$ It predicts the tree that minimizes the steps required to ... observed variations It predicts the tree with the least number of branch points It employs probability calculations to identify the tree
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...
Lakshman Bhaiya
1.4k
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Lakshman Bhaiya
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167
GATE BT 2022 | Question: 35
Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food? Infrared Circular dichroism Nuclear magnetic resonance UV-Visible $\text{P}$ only $\text{P}$ and $\text{R}$ only $\text{P, Q}$ and $\text{R}$ only $\text{P, Q, R}$ and $\text{S}$
Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food?InfraredCircular dichroismNuclear...
Lakshman Bhaiya
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Lakshman Bhaiya
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168
GATE BT 2022 | Question: 36
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 involved in repairing this damage is Nuclease, $\text{DNA}$ ... $\text{DNA}$ polymerase, $\text{DNA}$ ligase Primase, helicase, $\text{DNA}$ polymerase
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...
Lakshman Bhaiya
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Lakshman Bhaiya
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169
GATE BT 2022 | Question: 37
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_{n+1}=y_{n}+hf(x_{n+1},y_{n+1}) \right]$ with a step size of $h=0.5,$ is (are) $-1-5 \sqrt{0.3}$ $-1+5 \sqrt{0.3}$ $1+5 \sqrt{0.3}$ $1-5 \sqrt{0.3}$
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 $\lef...
Lakshman Bhaiya
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Lakshman Bhaiya
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170
GATE BT 2022 | Question: 38
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-limitation to the reaction rate without diffusion-limitation Internal ... increases with decrease in Thiele modulus Internal diffusion-limitation can be reduced by decreasing the size of the particle
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...
Lakshman Bhaiya
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Lakshman Bhaiya
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171
GATE BT 2022 | Question: 39
Which of the following is(are) $\text{COMMON}$ feature(s) for both aerobic and anaerobic bacterial cultures? Glycolysis $\text{NAD}^{+}$ is the oxidising agent Oxidative phosphorylation Two net $\text{ATP}$ molecules formed per glucose molecule
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...
Lakshman Bhaiya
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172
GATE BT 2022 | Question: 40
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 substrate, $K_{m}$ is the Michaelis constant, and $\text{v}_{o}$ is the initial reaction velocity. A. B. C. D.
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...
Lakshman Bhaiya
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173
GATE BT 2022 | Question: 41
Which of the following statement(s) is(are) CORRECT regarding the $lac$ operon in $E. coli$ when grown in the presence of glucose and lactose? At low glucose level, the operon is activated At high glucose level, the operon is ... lactose The $lac$ repressor binds to operator region inactivating the operon Binding of lactose to the $lac$ repressor induces the operon
Which of the following statement(s) is(are) CORRECT regarding the $lac$ operon in $E. coli$ when grown in the presence of glucose and lactose?At low glucose level, the op...
Lakshman Bhaiya
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174
GATE BT 2022 | Question: 42
Emerging viruses such as $\text{SARS-Co V2}$ cause epidemics. Which of the following process(es) contribute to the rise of such viruses? Mutation of existing virus Jumping of existing virus from current to new hosts Spread of virus in the new host population Replication of virus outside a host
Emerging viruses such as $\text{SARS-Co V2}$ cause epidemics. Which of the following process(es) contribute to the rise of such viruses?Mutation of existing virusJumping ...
Lakshman Bhaiya
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175
GATE BT 2022 | Question: 43
Introduction of foreign genes into plant cells can be carried out using Agrobacterium $\text{Cacl}_{2}$ mediated plasmid uptake Electroporation Gene gun
Introduction of foreign genes into plant cells can be carried out usingAgrobacterium$\text{Cacl}_{2}$ mediated plasmid uptakeElectroporationGene gun
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176
GATE BT 2022 | Question: 44
Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT? Dynamic binds $\text{GTP}$ and is involved in vesicle budding Dynamic is involved in cytoskeletal remodelling Dynamic binds $\text{ATP}$ and ... in movement of organelles along microtubules Dynamic binds $\text{GTP}$ and is involved in movement of organelles along microtubules
Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?Dynamic binds $\text{GTP}$ and is involved in vesicle buddingDynamic is invo...
Lakshman Bhaiya
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177
GATE BT 2022 | Question: 45
Consider a random variable $X$ with mean $\mu_{x}=0.1$ and variance $\sigma_{x}^{2}=0.2.$ A new random variable $Y=2X+1$ is defined. The variance of the random variable $Y$ (rounded off to one decimal place) is __________.
Consider a random variable $X$ with mean $\mu_{x}=0.1$ and variance $\sigma_{x}^{2}=0.2.$ A new random variable $Y=2X+1$ is defined. The variance of the random variable $...
Lakshman Bhaiya
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178
GATE BT 2022 | Question: 46
For $x_{1}>0$ and $x_{2}>0,$ the value of $\displaystyle{}\lim_{x_{1} \to x_{2}}\frac{x_{1}-x_{2}}{x_{2}\ln\left(\frac{x_{1}}{x_{2}}\right)}$ is __________.
For $x_{1}>0$ and $x_{2}>0,$ the value of $\displaystyle{}\lim_{x_{1} \to x_{2}}\frac{x_{1}-x_{2}}{x_{2}\ln\left(\frac{x_{1}}{x_{2}}\right)}$ is __________.
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179
GATE BT 2022 | Question: 47
Figure below depicts simplified metabolic and transport reactions taking place in the production of $\text{B}$ from $\text{A}$ in a cell. The subscript $`i\text{'}$ refers to intracellular metabolites. $r_{j}$ is the $j^{\text{th}}$ ... $\text{B}, \; r_{4}$ is ___________$\frac{g}{(\text{g dry mass)h}}.$
Figure below depicts simplified metabolic and transport reactions taking place in the production of $\text{B}$ from $\text{A}$ in a cell. The subscript $ i\text{’}$ ref...
Lakshman Bhaiya
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180
GATE BT 2022 | Question: 48
The amount of biomass in a reactor at the end of the batch process is $50 \; \text{g}.$ Fed-batch operation is initiated by feeding the substrate solution at a constant rate of $1 \; \text{L h}^{-1}.$ The concentration of substrate in the feed is ... system is at quasi-steady state, the maximum amount of biomass after $5 \; \text{h}$ of feeding is __________ $\text{g}.$
The amount of biomass in a reactor at the end of the batch process is $50 \; \text{g}.$ Fed-batch operation is initiated by feeding the substrate solution at a constant r...
Lakshman Bhaiya
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181
GATE BT 2022 | Question: 49
An enzyme catalyzes the conversion of substrate $\text{A}$ into product $\text{B}.$ The rate equation for this reaction is $-r_{A}= \dfrac{\text{C}_{A}}{5+C_{A}} \text{mol} \; \text{L}^{-1} \text{min}^{-1}$ Substrate $\text{A}$ at an ... $\text{MFR}$ required for $50\%$ conversion of substrate to product is __________ $\text{L}.$
An enzyme catalyzes the conversion of substrate $\text{A}$ into product $\text{B}.$ The rate equation for this reaction is$-r_{A}= \dfrac{\text{C}_{A}}{5+C_{A}} \text{mol...
Lakshman Bhaiya
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182
GATE BT 2022 | Question: 50
Liquid-phase mass transfer coefficient $(k_{L})$ is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is measured. The bulk concentration of $\text{O}_{2}$ is $10^{-4} \text{mol L}^{-1}.$ ... $100\; \text{m}^{2}/\text{m}^{3},$ the value of $k_{L}$ is ___________ $\text{cm s}^{-1}.$
Liquid-phase mass transfer coefficient $(k_{L})$ is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is mea...
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183
GATE BT 2022 | Question: 51
Consider a piston-cylinder assembly shown in the figure below. The walls of the cylinder are insulated. The cylinder contains $1$ mole of an ideal gas at $300 \; \text{K}$ and the piston is held initially at the position $\text{z}_{1}$ using a stopper. ... $\text{K}.$
Consider a piston-cylinder assembly shown in the figure below. The walls of the cylinder are insulated. The cylinder contains $1$ mole of an ideal gas at $300 \; \text{K}...
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184
GATE BT 2022 | Question: 52
Consider the growth of $\textit{S. cerevisiae}$ under aerobic condition in a bioreactor and the specific growth rate of yeast is $0.5\; \text{h}^{-1}.$ ... $\text{kL mol}^{-1}\text{h}^{-1}.$
Consider the growth of $\textit{S. cerevisiae}$ under aerobic condition in a bioreactor and the specific growth rate of yeast is $0.5\; \text{h}^{-1}.$ The overall reacti...
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GATE BT 2022 | Question: 53
A pilot sterilization was carried out in a vessel containing $1000\; \text{m}^{3}$ medium with an initial spore concentration of $10^{8} \;\text{spores/ml.}$ The accepted level of contamination after sterilization is $1$ spore in the entire vessel. The ... cycles, the holding time at $121^{\circ}\text{C}.$ (rounded off to nearest integer) is _________ $\text{min}.$
A pilot sterilization was carried out in a vessel containing $1000\; \text{m}^{3}$ medium with an initial spore concentration of $10^{8} \;\text{spores/ml.}$ The accepted...
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GATE BT 2022 | Question: 54
A circular plasmid has three different but unique restriction sites for enzymes $ \text{a'}, \text{b'}$ and $ \text{c'}.$ When enzymes $ \text{a'}$ and $ \text{b'}$ are used together, two fragments of equal size ... $ \text{c'}$ and analysed by agarose gel electrophoresis. The number of bands observed in the gel is _________.
A circular plasmid has three different but unique restriction sites for enzymes $‘\text{a'}, ‘\text{b'}$ and $‘\text{c'}.$ When enzymes $‘\text{a'}$ and $‘\text...
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GATE BT 2022 | Question: 55
A bacterial strain is grown in nutrient medium at $37^{\circ}\text{C}$ under aerobic conditions. The medium is inoculated with $10^{2}$ cells from a seed culture. If the number of cells in the culture is $10^{5}$ after $10$ hours of growth, the doubling time of the strain (rounded off to nearest integer) is ___________ $\text{h}.$
A bacterial strain is grown in nutrient medium at $37^{\circ}\text{C}$ under aerobic conditions. The medium is inoculated with $10^{2}$ cells from a seed culture. If the ...
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GATE BT 2021 | Question: 1
Coronavirus genome consists of double-stranded $\text{DNA}$ double-stranded $\text{RNA}$ negative-sense single-stranded $\text{RNA}$ positive-sense single-stranded $\text{RNA}$
Coronavirus genome consists ofdouble-stranded $\text{DNA}$double-stranded $\text{RNA}$negative-sense single-stranded $\text{RNA}$positive-sense single-stranded $\text{RNA...
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189
GATE BT 2021 | Question: 2
The enzyme that transcribes the eukaryotic genes encoding precursor ribosomal $\text{RNAs}\; (\text{pre-RNAs}$) of $28S$, $18S$ and $5.8S$ $\text{rRNA}$s is $\text{RNA}$ polymerase $\text{I}$ $\text{RNA}$ polymerase $\text{II}$ $\text{RNA}$ polymerase $\text{III}$ $\text{RNA}$ polymerase $\text{IV}$
The enzyme that transcribes the eukaryotic genes encoding precursor ribosomal $\text{RNAs}\; (\text{pre-RNAs}$) of $28S$, $18S$ and $5.8S$ $\text{rRNA}$s is$\text{RNA}$ p...
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190
GATE BT 2021 | Question: 3
Number of unrooted trees in a phylogeny of five sequences is $3$ $15$ $105$ $945$
Number of unrooted trees in a phylogeny of five sequences is$3$$15$$105$$945$
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191
GATE BT 2021 | Question: 4
Which one of the following methods is used to test the significance of a predicted phylogeny? Bootstrap Maximum likelihood Maximum parsimony Minimum evolution
Which one of the following methods is used to test the significance of a predicted phylogeny?BootstrapMaximum likelihoodMaximum parsimonyMinimum evolution
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192
GATE BT 2021 | Question: 6
The order of genes present in a chromosome is as follows Which one of the following rearrangements represents a paracentric inversion?
The order of genes present in a chromosome is as followsWhich one of the following rearrangements represents a paracentric inversion?
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193
GATE BT 2021 | Question: 7
Which one of the following statements is $\text{INCORRECT}$ about hybridoma production? Hybridoma cella can use hypoxanthine and thymidine $\text{DNA}$ synthesis in myeloma cells is blocked by aminopterin Hybridoma cells are made to produce polyclonal antibodies Polyethylene glycol is used to fuse myeloma cells to $B$-cells
Which one of the following statements is $\text{INCORRECT}$ about hybridoma production?Hybridoma cella can use hypoxanthine and thymidine$\text{DNA}$ synthesis in myeloma...
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194
GATE BT 2021 | Question: 9
Which one of the following techniques/tools is $\text{NOT}$ used for inserting a foreign gene into a cell? $\text{DNA}$ microarray Electroporation Gene gun Microinjection
Which one of the following techniques/tools is $\text{NOT}$ used for inserting a foreign gene into a cell?$\text{DNA}$ microarrayElectroporationGene gunMicroinjection
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195
GATE BT 2021 | Question: 10
Under standard temperature $(T)$ and pressure $(P)$ conditions, $128 \: g$ of an ideal has molecule $A$ occupies a volume of $1 \: L$. The gas molecule $A$ obeys the relationship $\text{RT=0.25 PV}$. $R$ and $V$ are universal gas constant and ideal gas volume, respectively. The molecule $A$ is $\text{CO}_2$ $\text{H}_2$ $\text{N}_2$ $\text{O}_2$
Under standard temperature $(T)$ and pressure $(P)$ conditions, $128 \: g$ of an ideal has molecule $A$ occupies a volume of $1 \: L$. The gas molecule $A$ obeys the rela...
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196
GATE BT 2021 | Question: 11
$\text{CRISPR-Cas}$ system is associated with adaptive immunity in eukaryotes adaptive immunity in prokaryotes innate immunity in eukaryotes innate immunity in prokaryotes
$\text{CRISPR-Cas}$ system is associated withadaptive immunity in eukaryotesadaptive immunity in prokaryotesinnate immunity in eukaryotesinnate immunity in prokaryotes
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197
GATE BT 2021 | Question: 12
The process by which intracellular macromolecules are supplied for lysosomal degradation during nutrient starvation is apoptosis autophagy phagocytosis pinocytosis
The process by which intracellular macromolecules are supplied for lysosomal degradation during nutrient starvation isapoptosisautophagyphagocytosispinocytosis
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198
GATE BT 2021 | Question: 13
The process and instrumentation diagram for a feedback control strategy to maintain the level $(h)$ of a liquid by regulating a valve $(V)$ in a tank is shown below. $F_1$ is inlet liquid flow rate, $F_2$ is outlet liquid flow rate, $LT$ is the liquid ... pressure. The manipulating variable(s) is/are $F_1$ only $F_2$ only $h_m$ and $P_v$ only $h_{sp}$ and $P_v$ only
The process and instrumentation diagram for a feedback control strategy to maintain the level $(h)$ of a liquid by regulating a valve $(V)$ in a tank is shown below. $F_1...
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199
GATE BT 2021 | Question: 14
A protein without its prosthetic group is known as apoprotein hemoprotein holoprotein lipoprotein
A protein without its prosthetic group is known asapoproteinhemoproteinholoproteinlipoprotein
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200
GATE BT 2021 | Question: 15
The enzyme which adds phosphate group to the free $5’$ terminus of a $\text{DNA}$ sequence is adenosine kinase alkaline phosphatase polynucleotide kinase terminal deoxynucleotidyl transferase
The enzyme which adds phosphate group to the free $5’$ terminus of a $\text{DNA}$ sequence isadenosine kinasealkaline phosphatasepolynucleotide kinaseterminal deoxynucl...
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