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241
GATE BT 2021 | Question: 20
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
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1.4k
points
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asked
Mar 1, 2021
Calculus
gatebt-2021
numerical-answers
calculus
sequences-and-series
infinite-geometric-series
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0
votes
0
answers
242
GATE BT 2021 | Question: 21
Three balls, colored in blue, green and red, are successively transferred from box $A$ to box $B$ in the order $\text{BLUE-GREEN-RED.}$ The probability of a reverse transfer of the balls to the box $A$ in the same order (rounded off to two decimal places) is ____________
Three balls, colored in blue, green and red, are successively transferred from box $A$ to box $B$ in the order $\text{BLUE-GREEN-RED.}$ The probability of a reverse trans...
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1.4k
points
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asked
Mar 1, 2021
Others
gatebt-2021
numerical-answers
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243
GATE BT 2021 | Question: 22
Decimal reduction time of a bacterial strain is $20 \textit{ min}$. Specific death rate constant in $\textit{min}^{-1}$ (rounded off to two decimal places) is ___________
Decimal reduction time of a bacterial strain is $20 \textit{ min}$. Specific death rate constant in $\textit{min}^{-1}$ (rounded off to two decimal places) is ___________...
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1.4k
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Others
gatebt-2021
numerical-answers
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0
votes
0
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244
GATE BT 2021 | Question: 23
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
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1.4k
points
go_editor
asked
Mar 1, 2021
Calculus
gatebt-2021
numerical-answers
calculus
limits
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245
GATE BT 2021 | Question: 25
The enzyme $\alpha$-amylase used in starch hydrolysis has an affinity constant $(K_m)$ value of $0.005 \: M$. To achieve one-fourth of the maximum rate of hydrolysis, the required starch concentration $mM$ (rounded off to two decimal places) is ____________
The enzyme $\alpha$-amylase used in starch hydrolysis has an affinity constant $(K_m)$ value of $0.005 \: M$. To achieve one-fourth of the maximum rate of hydrolysis, the...
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatebt-2021
numerical-answers
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0
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246
GATE BT 2021 | Question: 26
Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, respectively.
Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, ...
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1.4k
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247
GATE BT 2021 | Question: 27
Match enzymes in $\text{Group I}$ with their corresponding industrial application in $\text{Group II}$ ... $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-3, S-4$ $P-1, Q-4, R-2, S-3$
Match enzymes in $\text{Group I}$ with their corresponding industrial application in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Gro...
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1.4k
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gatebt-2021
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248
GATE BT 2021 | Question: 28
Match separation methods in $\text{Group I}$ with associated properties in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-4, S-3$
Match separation methods in $\text{Group I}$ with associated properties in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ ...
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1.4k
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249
GATE BT 2021 | Question: 29
Match the autoimmune diseases in $\text{Group I}$ with the corresponding primarily affected organ in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-4, Q-2, R-1, S-3$ $P-1, Q-2, R-4, S-3$
Match the autoimmune diseases in $\text{Group I}$ with the corresponding primarily affected organ in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I...
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatebt-2021
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250
GATE BT 2021 | Question: 30
Match hypersensitivity types in $\text{Group I}$ with their corresponding condition in $\text{Group II}$ ... $P-3, Q-1, R-4, S-2$ $P-2, Q-3, R-4, S-1$ $P-2, Q-1, R-3, S-4$
Match hypersensitivity types in $\text{Group I}$ with their corresponding condition in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{G...
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1.4k
points
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Others
gatebt-2021
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251
GATE BT 2021 | Question: 31
Which of the following combinations of plant hormones and their associated function are $\text{CORRECT}$ ... $P$ and $R$ only $P$ and $S$ only $Q$ and $R$ only $Q$ and $S$ only
Which of the following combinations of plant hormones and their associated function are $\text{CORRECT}$?$$\begin{array}{|l|l|l|} \hline & \textbf{Hormone} & \textbf{Func...
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1.4k
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gatebt-2021
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252
GATE BT 2021 | Question: 32
Which one of the following tools is used to compare all the possible six-open reading frames of a given nucleotide query sequence with all the available six-open reading frames of the nucleotide sequence database? $\text{BLASTN}$ $\text{BLASTX}$ $\text{TBLASTN}$ $\text{TBLASTX}$
Which one of the following tools is used to compare all the possible six-open reading frames of a given nucleotide query sequence with all the available six-open reading ...
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Others
gatebt-2021
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253
GATE BT 2021 | Question: 33
In $\textit{Neurospora crassa}$, a mutation in the $\textit{poky}$ gene results in a slow growth phenotype (poky). The results of four crosses are given below. wild-type $ ♀ \times$ ... poky Which one of the following explains the inheritance mode of poky? Episomal inheritance Mendelian inheritance Mitochondrial inheritance X-linked inheritance
In $\textit{Neurospora crassa}$, a mutation in the $\textit{poky}$ gene results in a slow growth phenotype (poky). The results of four crosses are given below.wild-type $...
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1.4k
points
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Others
gatebt-2021
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254
GATE BT 2021 | Question: 34
Tertiary structure of a protein consisting of $\alpha$-helices and $\beta$-strands can be determined by circular dichroism spectroscopy mass spectrometry nuclear magnetic resonance spectroscopy $\text{UV}$ spectroscopy
Tertiary structure of a protein consisting of $\alpha$-helices and $\beta$-strands can be determined bycircular dichroism spectroscopymass spectrometrynuclear magnetic re...
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1.4k
points
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Others
gatebt-2021
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255
GATE BT 2021 | Question: 35
Which of the following statement(s) is/are $\text{CORRECT}$ about $\textit{Agrobacterium tumefaciens}$? It contains tumor inducing plasmid It causes crown gall disease in dicotyledonous plants It is a Gram-positive soil bacterium It is used in generating transgenic plants
Which of the following statement(s) is/are $\text{CORRECT}$ about $\textit{Agrobacterium tumefaciens}$?It contains tumor inducing plasmidIt causes crown gall disease in d...
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatebt-2021
multiple-selects
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0
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256
GATE BT 2021 | Question: 36
Which of the following antimicrobial agent(s) is/are growth factor analog(s)? $5$-Fluorouracil Isoniazid Sulfanilamide Tetracycline
Which of the following antimicrobial agent(s) is/are growth factor analog(s)?$5$-FluorouracilIsoniazidSulfanilamideTetracycline
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatebt-2021
multiple-selects
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257
GATE BT 2021 | Question: 37
Which of the following chemical messenger(s) is/are derivative(s) of tryptophan? $\gamma$-amino butyric acid Indole acetic acid Melatonin Serotonin
Which of the following chemical messenger(s) is/are derivative(s) of tryptophan?$\gamma$-amino butyric acidIndole acetic acidMelatoninSerotonin
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1.4k
points
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asked
Mar 1, 2021
Others
gatebt-2021
multiple-selects
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0
answers
258
GATE BT 2021 | Question: 38
Which of the following nucleus/nuclei is/are $\text{NMR}$ active? $^1H$ $^{13}C$ $^{16}O$ $^{32}S$
Which of the following nucleus/nuclei is/are $\text{NMR}$ active?$^1H$$^{13}C$$^{16}O$$^{32}S$
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1.4k
points
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Mar 1, 2021
Others
gatebt-2021
multiple-selects
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votes
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answers
259
GATE BT 2021 | Question: 39
In a Mendel’s dilhybrid experiment, a homozygous pea plant with round yellow seeds was crossed with a homozygous plant with wrinkled green seeds. $F_1$ intercross produced $560 \: F_2$ progency. The number of $F_2$ progency having both dominant traits (round and yellow) is ____________
In a Mendel’s dilhybrid experiment, a homozygous pea plant with round yellow seeds was crossed with a homozygous plant with wrinkled green seeds.$F_1$ intercross produc...
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1.4k
points
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asked
Mar 1, 2021
Others
gatebt-2021
numerical-answers
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votes
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answers
260
GATE BT 2021 | Question: 40
A $0.1 \textit{ mL}$ aliquot of a bacteriophage stock having a concentration of $4 \times 10^9 \textit{ phages mL}^{-1}$ is added to $0.5 \textit{ mL}$ of $\textit{E. coli}$ culture having a concentration of $2 \times 10^8 \textit{ cells mL}^{-1}$. The multiplicity of infection is ________
A $0.1 \textit{ mL}$ aliquot of a bacteriophage stock having a concentration of $4 \times 10^9 \textit{ phages mL}^{-1}$ is added to $0.5 \textit{ mL}$ of $\textit{E. col...
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1.4k
points
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asked
Mar 1, 2021
Others
gatebt-2021
numerical-answers
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votes
0
answers
261
GATE BT 2021 | Question: 41
If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________
If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________
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1.4k
points
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asked
Mar 1, 2021
Calculus
gatebt-2021
numerical-answers
calculus
geometry
triangles
area
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0
votes
0
answers
262
GATE BT 2021 | Question: 42
In a chemostat with a dilution rate of $0.8$ $h^{-1}$, the steady state biomass concentration and the specific product formation rate are $8 \textit{ mol m}^{-3}$ and $0.2 \;(\textit{mol product}) (\textit{mol biomass})^{-1} \: h^{-1}$, respectively. The steady state product concentration in $\textit{mol m}^{-3}$ is ___________
In a chemostat with a dilution rate of $0.8$ $h^{-1}$, the steady state biomass concentration and the specific product formation rate are $8 \textit{ mol m}^{-3}$ and $0....
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1.4k
points
go_editor
asked
Mar 1, 2021
Others
gatebt-2021
numerical-answers
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votes
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263
GATE BT 2021 | Question: 43
If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to one decimal place) is ________.
If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to on...
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1.4k
points
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asked
Mar 1, 2021
Probability and Statistics
gatebt-2021
numerical-answers
probability-and-statistics
statistics
correlation
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votes
0
answers
264
GATE BT 2021 | Question: 44
The determinant of matrix $A = \begin{pmatrix} 1 & 1& 1 & 1 \\ -1 & 1 & 1 & 1 \\ -1 & -1 & 1 & 1 \\ 1 & 1 & 1 & 3 \end{pmatrix}$ is __________.
The determinant of matrix $A = \begin{pmatrix} 1 & 1& 1 & 1 \\ -1 & 1 & 1 & 1 \\ -1 & -1 & 1 & 1 \\ 1 & 1 & 1 & 3 \end{pmatrix}$ is __________.
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1.4k
points
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asked
Mar 1, 2021
Linear Algebra
gatebt-2021
numerical-answers
linear-algebra
matrices
determinant
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0
votes
0
answers
265
GATE BT 2021 | Question: 45
It is desired to scale-up a fermentation from $1L$ to $1000L$ vessel by maintaining a constant power-to-volume ratio. The small fermenter is operated at an agitator speed of $300$ rotations per minute $(\textit{rpm})$. If the value of scale up factor is $10$, agitator speed in $\textit{rpm}$ (rounded off to the nearest integer) for the large fermenter is _________.
It is desired to scale-up a fermentation from $1L$ to $1000L$ vessel by maintaining a constant power-to-volume ratio. The small fermenter is operated at an agitator speed...
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1.4k
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Others
gatebt-2021
numerical-answers
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–1
votes
0
answers
266
GATE BT 2021 | Question: 46
The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is $0.15 \: h^{-1}$. If the cell concentration at $30 \: h$ is $33\: g L^{-1}$, the cell concentration in $g \: L^{-1}$ (rounded off to the nearest integer) at $24 \: h$ is ________.
The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is $0.15 \: h^{-1}$. If the cell concentration at $30 \: h$ is $33\: g L^...
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1.4k
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asked
Mar 1, 2021
Others
gatebt-2021
numerical-answers
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267
GATE BT 2021 | Question: 47
A sedimentation tank of height $100 \textit{ cm}$ is used in a conventional activated sludge process to separate a suspension of spherical shaped granular sludge biomass of $0.5 \textit{ mm}$ diameter. The viscosity of the liquid is ... their terminal velocity instantaneously, the biomass settling time in $\textit{min}$ (rounded off to two decimal places) is ___________
A sedimentation tank of height $100 \textit{ cm}$ is used in a conventional activated sludge process to separate a suspension of spherical shaped granular sludge biomass ...
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Others
gatebt-2021
numerical-answers
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268
GATE BT 2021 | Question: 48
In a random mating population, $Y$ and $y$ are dominant and recessive alleles, respectively. If the frequency of $Y$ allele in both sperm and egg is $0.70$, then the frequency $Y/y$ heterozygotes (rounded off to two decimal places) is ___________.
In a random mating population, $Y$ and $y$ are dominant and recessive alleles, respectively. If the frequency of $Y$ allele in both sperm and egg is $0.70$, then the freq...
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1.4k
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Mar 1, 2021
Others
gatebt-2021
numerical-answers
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269
GATE BT 2021 | Question: 49
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
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asked
Mar 1, 2021
Calculus
gatebt-2021
numerical-answers
calculus
definite-integrals
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270
GATE BT 2021 | Question: 50
A feed stream $(F_1)$ containing components $A$ and $B$ is processed in a system comprising of separation unit and a mixer as shown below in the schematic diagram. The mole fractions of the components $A$ and $B$ are $x_A$ and $x_B$, respectively. If $F_1+F_2=100 \textit{ kg h}^{-1}$, the degrees of freedom of the system is _________.
A feed stream $(F_1)$ containing components $A$ and $B$ is processed in a system comprising of separation unit and a mixer as shown below in the schematic diagram. The mo...
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1.4k
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Others
gatebt-2021
numerical-answers
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271
GATE BT 2021 | Question: 51
A batch cultivation of $\textit{E. coli}$ follows zeroth order Monod's growth kinetics. The cell growth is terminated when the residual dissolved oxygen concentration attains $10\%$ of its saturation value and oxygen mass transfer coefficient $(k_La)$ reaches its ... (rounded off to two decimal places) at the end of the batch cultivation is __________
A batch cultivation of $\textit{E. coli}$ follows zeroth order Monod’s growth kinetics. The cell growth is terminated when the residual dissolved oxygen concentration a...
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gatebt-2021
numerical-answers
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272
GATE BT 2021 | Question: 52
Milk flowing through a stainless steel inner tube ($40 \textit{ mm}$ inner diameter) of double tube-type heater is to be heated from $10^\circ C$ to $85^\circ C$ by saturated steam condensing at $120^\circ C$ on the outer surface of the inner tube. Total ... -2} $^\circ C^{-1}$. The total length of the heating tube in $m$ (rounded off to one decimal place) is __________
Milk flowing through a stainless steel inner tube ($40 \textit{ mm}$ inner diameter) of double tube-type heater is to be heated from $10^\circ C$ to $85^\circ C$ by satur...
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gatebt-2021
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273
GATE BT 2021 | Question: 53
A $\text{DNA}$ solution of $50 \: \mu g \: mL^{-1}$ concentration gives an absorbance of $1.0$ at $260 \textit{ nm}$. An aliquot of $20 \: \mu L$ from a $50 \: \mu L$ purified plasmid solution is diluted with distilled water to a total ... $\mu g \: \mu L^{-1}$ (rounded off to two decimal places) is ________.
A $\text{DNA}$ solution of $50 \: \mu g \: mL^{-1}$ concentration gives an absorbance of $1.0$ at $260 \textit{ nm}$. An aliquot of $20 \: \mu L$ from a $50 \: \mu L$ pur...
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gatebt-2021
numerical-answers
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votes
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274
GATE BT 2021 | Question: 54
The possible number of $\textit{Sal}\text{I}$ restriction sites in a $9\text{ kb}$ double-stranded $\text{DNA}$, with all four bases occurring in equal proportion (rounded off to the nearest integer) is _________
The possible number of $\textit{Sal}\text{I}$ restriction sites in a $9\text{ kb}$ double-stranded $\text{DNA}$, with all four bases occurring in equal proportion (rounde...
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gatebt-2021
numerical-answers
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0
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275
GATE BT 2021 | Question: 55
A bacterium produces acetic acid from ethanol as per the following reaction $2CH_3CH_2OH+2O_2 \rightarrow 2CH_3COOH+2H_2O$ The thermodynamic maximum yield of acetic acid from ethanol in $g \: g^{-1}$ (rounded off to two decimal places) is ___________
A bacterium produces acetic acid from ethanol as per the following reaction $$2CH_3CH_2OH+2O_2 \rightarrow 2CH_3COOH+2H_2O$$ The thermodynamic maximum yield of acetic aci...
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276
GATE2019: 21
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
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soujanyareddy13
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Nov 3, 2020
Calculus
gate2019
numerical-answers
calculus
limits
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277
GATE2019: 22
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
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2.7k
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soujanyareddy13
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Nov 3, 2020
Probability and Statistics
gate2019
numerical-answers
probability-and-statistics
statistics
median
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0
votes
0
answers
278
GATE2019: 23
The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
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soujanyareddy13
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Others
gate2019
numerical-answers
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279
GATE2019: 24
The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
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soujanyareddy13
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Others
gate2019
numerical-answers
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280
GATE2019: 25
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 conditions. The specific activity of this crude enzyme preparation is ____________ units $mg^{-1}$.
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...
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2.7k
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