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281
GATE2019: 38
What is the solution of the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x}{y}$, with the initial condition, at $x=0, y=1?$ $x^{2}=y^{2}+1$ $y^{2}=x^{2}+1$ $y^{2}=2x^{2}+1$ $x^{2}-y^{2}=0$
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}...
soujanyareddy13
2.7k
points
soujanyareddy13
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Nov 3, 2020
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gate2019
differential-equations
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282
GATE2019: 39
The Laplace transform of the function $f\left ( t \right )=t^{2}+2t+1$ is $\dfrac{1}{s^{3}}+\dfrac{3}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{4}{s^{3}}+\dfrac{4}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{1}{s^{3}}+\dfrac{2}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{2}{s^{3}}+\dfrac{2}{s^{2}}+\dfrac{1}{s}$
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}{...
soujanyareddy13
2.7k
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soujanyareddy13
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gate2019
differential-equations
laplace-transforms
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0
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answers
283
GATE2019: 40
Which of the following factors can influence the lag phase of a microbial culture in a batch fermentor? Inoculum size Inoculum age Medium composition $P$ and $Q$ only $Q$ and $R$ only $P$ and $R$ only $P, Q$ and $R$
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 ...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
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284
GATE2019: 41
Which one of the following statements is $CORRECT$ about proportional controllers? The initial change in control output signal is relatively slow The initial corrective action is greater for larger error They have no offset There is no corrective action if the error is a constant
Which one of the following statements is $CORRECT$ about proportional controllers?The initial change in control output signal is relatively slowThe initial corrective act...
soujanyareddy13
2.7k
points
soujanyareddy13
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Nov 3, 2020
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gate2019
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285
GATE2019: 42
Match the instruments in $Group\; I$ with their corresponding measurements in $Group\; II$ ... $P-3, Q-4, R-1, S-2$ $P-2, Q-4, R-1, S-3$ $P-2, Q-1, R-4, S-3$
Match the instruments in $Group\; I$ with their corresponding measurements in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Manometer} ...
soujanyareddy13
2.7k
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gate2019
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286
GATE2019: 43
Which of the following statements is $ALWAYS\; CORRECT$ about an ideal chemostat? Substrate concentration inside the chemostat is equal to that in the exit stream Optimal dilution rate is lower than critical dilution rate Biomass concentration increases with increase in dilution rate Cell recirculation facilitates ... $Q$ only $P, R$ and $S$ only $P$ and $S$ only $P, Q$ and $S$ only
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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Nov 3, 2020
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gate2019
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287
GATE2019: 44
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 plant cell. Reason $[r]$ : It is easier to introduce transgenes in to plants than animals. Both $[a]$ and $[r]$ ... $[a]$ Both $[a]$ and $[r]$ are false $[a]$ is true but $[r]$ is false
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
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288
GATE2019: 45
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 instrument with a cuvette of $1cm$ path length is _________$\mu M$ . The molar extinction coefficient of the protein is $10,000\;L\:mol^{-1}\:cm^{-1}$.
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...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
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gate2019
numerical-answers
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289
GATE2019: 46
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 separating the two compartments is _________ $cal\:mol^{-1}$ (rounded off to the nearest integer). $(R =1.987\:cal\:mol^{-1}\:K^{-1},\:T=37 \;^{\circ}C)$
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
numerical-answers
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290
GATE2019: 47
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 flower bearing plants results in an offspring with white flowers. The probability that the third offspring from these parents will have purple flowers is ____________ (rounded off to $2$ decimal places).
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
numerical-answers
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291
GATE2019: 48
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 off to $1$ decimal place).
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
numerical-answers
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292
GATE2019: 49
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 $(X)$ ... $\sigma$) for the casino payout is Rs. _____________ (rounded off to the nearest integer).
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...
soujanyareddy13
2.7k
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soujanyareddy13
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Nov 3, 2020
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gate2019
numerical-answers
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293
GATE2019: 50
$\int _{-1}^{1}\:f\left ( x \right )dx$ calculated using trapezoidal rule for the values given in the table is ______ (rounded off to $2$ ...
$\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}{...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Numerical Methods
gate2019
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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294
GATE2019: 51
Yeast biomass $\left ( C_{6}H_{10}O_{3}N \right )$ grown on glucose is described by the stoichiometric equation given below: $C_{6}H_{12}O_{6}+0.48\:NH_{3}+3\:O_{2} \to 0.48\:C_{6}H_{10}O_{3}N+3.12\:CO_{2}+4.32\:H_{2}O$ The amount of glucose ... $1,00,000$ $L$ is __________ $kg$ (rounded off to the nearest integer).
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...
soujanyareddy13
2.7k
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soujanyareddy13
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Nov 3, 2020
Others
gate2019
numerical-answers
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295
GATE2019: 52
Phenolic wastewater discharged from an industry was treated with Pseudomonas $sp$. in an aerobic bioreactor. The influent and effluent concentrations of phenol were $10,000$ and $10\:ppm$ ... 'chemostat' mode, the working volume require for this process is _____________ $L$ (rounded off to the nearest integer).
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
numerical-answers
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296
GATE2019: 53
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$ atm and filtrate pressure $\left ( P_{f} \right )$ is equal to atmospheric pressure. The average transmembrane pressure drop $\left ( \Delta P_{m} \right )$ is ___________ atm.
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
numerical-answers
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297
GATE2019: 54
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 probability of contamination after sterilization is $10^{-3}$. The ... cell death during heating and cooling phases. The holding time of the sterilization process is___________ min (rounded off to the nearest integer).
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 ...
soujanyareddy13
2.7k
points
soujanyareddy13
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Nov 3, 2020
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gate2019
numerical-answers
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298
GATE2019: 55
The dimensions and operating condition of a lab-scale fermentor are as follows: Volume = $1\:L$ Diameter = $20$ cm Agitator speed = $600$ rpm Ratio of impeller diameter to fermentor diameter = $0.3$ ... the agitator in the larger reactor is ___________ rpm. Assume that the scale-up factor is the cube root of the ratio of fermentor volumes.
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2019
numerical-answers
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299
GATE2020: 21
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).
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).
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2020
numerical-answers
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300
GATE2020: 22
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 radius. Upon this change, the ratio of the interfacial surface area to the gas phase volume for the system changes from $3/r$ to $3n/r$. The value of $n$ is _____________________.
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2020
numerical-answers
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301
GATE2020: 23
The largest eigenvalue of the matrix $\begin{bmatrix} 4 &1 \\ -2& 1 \end{bmatrix}$ is ______________.
The largest eigenvalue of the matrix $\begin{bmatrix} 4 &1 \\ -2& 1 \end{bmatrix}$ is ______________.
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Linear Algebra
gate2020
numerical-answers
linear-algebra
matrices
eigen-values
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302
GATE2020: 24
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 than $0$ is __________ (round off to $2$ decimal places).
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...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Probability and Statistics
gate2020
numerical-answers
probability-and-statistics
probability
mean-and-standard-deviation
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303
GATE2020: 25
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 approximated as _________________.
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...
soujanyareddy13
2.7k
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soujanyareddy13
asked
Nov 3, 2020
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gate2020
numerical-answers
differential-equations
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304
GATE2020: 26
A block of ice at $0 \:^{\circ}C$ is supplied heat at a constant rate to convert ice to superheated steam. Which one of the following trajectories correctly represents the trend of the temperature of the system with time? Assume that the Specific heat of $H_{2}O$ is not a function of temperature.
A block of ice at $0 \:^{\circ}C$ is supplied heat at a constant rate to convert ice to superheated steam. Which one of the following trajectories correctly represents th...
soujanyareddy13
2.7k
points
soujanyareddy13
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gate2020
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305
GATE2020: 27
The $DNA$ sequence shown below is to be amplified by $PCR$: $5{}'$ GCTAAGATCTGAATTTTCC$\dots\dots$TTGGGCAATAATGTAGCGC$3{}'$ $3{}'$ CGATTCTAGACTTAAAAGG$\dots\dots$AACCCGTTATTACATCGCG$3{}'$ Which one of the following pair of primers can be ... $3{}'$ $5{}'$ GCTAAGATCTGAATTTTC$3{}'$ and $5{}'$ TGGGCAATAATGTAGCGC$3{}'$
The $DNA$ sequence shown below is to be amplified by $PCR$:$5{}'$ GCTAAGATCTGAATTTTCC$\dots\dots$TTGGGCAATAATGTAGCGC$3{}'$$3{}'$ CGATTCTAGACTTAAAAGG$\dots\dots$AACCCGTTAT...
soujanyareddy13
2.7k
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Nov 3, 2020
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306
GATE2020: 28
Which of the following statements about immune response are $CORRECT$? $T$ cells are activated by antigen-presenting cells Foreign peptides are not presented to helper $T$ cells by Class $II$ $MHC$ proteins Dendritic cells are referred to as professional antigen- presenting cells $P$ and $R$ only $P$ and $Q$ only $Q$ and $R$ only $P, Q$ and $R$
Which of the following statements about immune response are $CORRECT$?$T$ cells are activated by antigen-presenting cellsForeign peptides are not presented to helper $T$ ...
soujanyareddy13
2.7k
points
soujanyareddy13
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Nov 3, 2020
Others
gate2020
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307
GATE2020: 29
Which of the following statemets are $CORRECT$ about eukaryotic cell cycle? $CDKs$ can phosphorylate proteins in the absence of cyclins $CDKs$ can be inactivated by phosphorylation Degradation of cyclins is required for cell cycle progression $CDKs$ are not involved in chromosome condensation $P$ and $R$ only $P$ and $S$ only $P, Q$ and $R$ only $Q$ and $R$ only
Which of the following statemets are $CORRECT$ about eukaryotic cell cycle?$CDKs$ can phosphorylate proteins in the absence of cyclins$CDKs$ can be inactivated by phospho...
soujanyareddy13
2.7k
points
soujanyareddy13
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Nov 3, 2020
Others
gate2020
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308
GATE2020: 30
$W,X$ and $Y$ are the intermediates in a biochemical pathway as shown below: $S \cdots \cdots \rightarrow W\rightarrow X\rightarrow Y\rightarrow Z$ Mutants auxotrophic for $Z$ are found in four different complementation groups, namely $Z1$, $Z2$, $Z3$ ... $S \cdots \cdots \overset{Z4}{\rightarrow}W\overset{Z1}{\rightarrow}X\overset{Z2}{\rightarrow} Y\overset{Z3}{\rightarrow}Z$
$W,X$ and $Y$ are the intermediates in a biochemical pathway as shown below:$$S \cdots \cdots \rightarrow W\rightarrow X\rightarrow Y\rightarrow Z$$Mutants auxotrophic fo...
soujanyareddy13
2.7k
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soujanyareddy13
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309
GATE2020: 31
In tomato plant, red ($R$) is dominant over yellow ($r$) for fruit color and purple ($P$) is dominant over green ($p$) for stem color. Fruit color and stem color assort independently. The number of progeny plants of different fruit/stem colors obtained from a ... genotypes of the parent plants in this mating? $RrPp \times Rrpp$ $RrPp \times RrPp$ $RRPP \times rrpp$ $RrPP \times Rrpp$
In tomato plant, red ($R$) is dominant over yellow ($r$) for fruit color and purple ($P$) is dominant over green ($p$) for stem color. Fruit color and stem color assort i...
soujanyareddy13
2.7k
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soujanyareddy13
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310
GATE2020: 32
Some of the cytokinins used in plant tissue culture media are given below: $BAP$ Zeatin Kinetin $2iP$ Which of these are synthetic analogs? $P$ and $Q$ only $Q$ and $S$ only $R$ and $S$ only $P$ and $R$ only
Some of the cytokinins used in plant tissue culture media are given below:$BAP$ZeatinKinetin$2iP$Which of these are synthetic analogs?$P$ and $Q$ only$Q$ and $S$ only$R$ ...
soujanyareddy13
2.7k
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soujanyareddy13
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Nov 3, 2020
Others
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311
GATE2020: 33
Carl Woese used the gene sequence of which one of the following for phylogenetic taxonomy of prokaryotes? A ribosomal $RNA$ of large ribosomal subunit A ribosomal $RNA$ of small ribosomal subunit A ribosomal protein of large ribosomal subunit A ribosomal protein of small ribosomal subunit
Carl Woese used the gene sequence of which one of the following for phylogenetic taxonomy of prokaryotes?A ribosomal $RNA$ of large ribosomal subunitA ribosomal $RNA$ of...
soujanyareddy13
2.7k
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soujanyareddy13
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Nov 3, 2020
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312
GATE2020: 34
A list of pathogens $(Group\; I)$ and a list of anti-microbial agents $(Group\; II)$ ... $P-5, Q-2, R-4, S-1$ $P-2, Q-3, R-4, S-1$ $P-2, Q-3, R-1, S-5$
A list of pathogens $(Group\; I)$ and a list of anti-microbial agents $(Group\; II)$ used to treat their infections are given below. Match the pathogens with the correspo...
soujanyareddy13
2.7k
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soujanyareddy13
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gate2020
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313
GATE2020: 35
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: Dam methylase protects $E$. coli $DNA$ from phage endonucleases Reason [$r$]: $E$. coli Dam methylase methylates the adenosine residue in the sequence "$GATC$" Both [ ... not the correct reason for [$a$] Both [$a$] and [$r$] are false [$a$] is false but [$r$] is true
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$].Assertion [$a$]: Dam methylase protects $E$. coli $DNA$ from phage endonuclea...
soujanyareddy13
2.7k
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soujanyareddy13
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Others
gate2020
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314
GATE2020: 36
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: Embryonic stem cells are suitable for developing knockout mice Reason [$r$]: Homologous recombination is more frequent in embryonic stem cells than that in somatic cells Both [$a$] ... ] are true, but [$r$] is not the correct reason for [$a$] [$a$] is true. but [$r$] is false
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$].Assertion [$a$]: Embryonic stem cells are suitable for developing knockout mi...
soujanyareddy13
2.7k
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soujanyareddy13
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Others
gate2020
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315
GATE2020: 37
The schematic of a plasmid with a gap in one of the strands is shown below: Which of the following enzyme(s) is/are required to fill the gap and generate a covalently closed circular plasmid? $DNA$ ligase AIkaline phosphatase $DNA$ polymerase Polynucleotide kinase $P$ only $P, R$ and $S$ only $P$ and $R$ only $P, Q$ and $R$ only
The schematic of a plasmid with a gap in one of the strands is shown below:Which of the following enzyme(s) is/are required to fill the gap and generate a covalently clos...
soujanyareddy13
2.7k
points
soujanyareddy13
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Others
gate2020
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316
GATE2020: 38
Match sub-cellular organelles listed in $Group\; I$ with their features listed in $Group\; II$ ... $P-2, Q-3, R-4, S-1$ $P-3, Q-4, R-2, S-1$ $P-3, Q-1, R-4, S-2$
Match sub-cellular organelles listed in $Group\; I$ with their features listed in $Group\; II$:$$\begin{array}{|cl|cI|cI|cI|cI|c|}\hline&\textbf{Group I} & \textbf{Group ...
soujanyareddy13
2.7k
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soujanyareddy13
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317
GATE2020: 39
Which of the following strategies are used by cells for metabolic regulation? Phosphorylation-dephosphorylation Allostery Feedback inhibition $P$ and $Q$ only $P$ and $R$ only $Q$ and $R$ only $P, Q$ and $R$
Which of the following strategies are used by cells for metabolic regulation?Phosphorylation-dephosphorylationAllosteryFeedback inhibition$P$ and $Q$ only$P$ and $R$ only...
soujanyareddy13
2.7k
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soujanyareddy13
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Others
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318
GATE2020: 40
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: A zygote and its immediate descendant cells are unspecialized and are called totipotent Reason [$r$]: Totipotent cells retain the capacity to differentiate into only a few cell types ... $r$] are true and [$r$] is the correct reason for [$a$] [$a$] is true but [$r$] is false
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$].Assertion [$a$]: A zygote and its immediate descendant cells are unspecialize...
soujanyareddy13
2.7k
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soujanyareddy13
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Others
gate2020
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319
GATE2020: 41
Which of the following statements about gene therapy are CORRECT? Affected individuals, but not their progeny, can be cured through germline gene therapy Affected individuals, as well as their progeny, can be cured through germline gene therapy Affected individuals, but not their progeny, can be cured ... therapy $P$ and $R$ only $P$ and $S$ only $Q$ and $R$ only $Q$ and $S$ only
Which of the following statements about gene therapy are CORRECT?Affected individuals, but not their progeny, can be cured through germline gene therapyAffected individua...
soujanyareddy13
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GATE2020: 42
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: A genetically engineered rice that produces beta-carotene in the rice grain is called Golden rice Reason [$r$ ... [$r$] are true and [$r$] is the correct reason for [$a$] [$a$] is true but [$r$] is false
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$].Assertion [$a$]: A genetically engineered rice that produces beta-carotene in...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Others
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