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241
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
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Mar 1, 2021
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gatebt-2021
multiple-selects
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242
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
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gatebt-2021
numerical-answers
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243
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
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gatebt-2021
numerical-answers
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244
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 _________
go_editor
1.4k
points
go_editor
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Mar 1, 2021
Calculus
gatebt-2021
numerical-answers
calculus
geometry
triangles
area
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245
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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gatebt-2021
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246
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...
go_editor
1.4k
points
go_editor
asked
Mar 1, 2021
Probability and Statistics
gatebt-2021
numerical-answers
probability-and-statistics
statistics
correlation
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247
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
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Linear Algebra
gatebt-2021
numerical-answers
linear-algebra
matrices
determinant
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248
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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249
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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gatebt-2021
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250
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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gatebt-2021
numerical-answers
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251
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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1.4k
points
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asked
Mar 1, 2021
Calculus
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calculus
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252
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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go_editor
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Mar 1, 2021
Others
gatebt-2021
numerical-answers
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253
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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1.4k
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254
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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1.4k
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255
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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256
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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1.4k
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257
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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258
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 _____________.
soujanyareddy13
2.7k
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Calculus
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calculus
limits
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259
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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260
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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gate2019
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261
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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gate2019
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262
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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soujanyareddy13
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gate2019
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263
GATE2019: 26
In general, which one of the following statements is $NOT \;CORRECT$? Hydrogen bonds result from electrostatic interactions Hydrogen bonds contribute to the folding energy of proteins Hydrogen bonds are weaker than van der Waals interactions Hydrogen bonds are directional
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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soujanyareddy13
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264
GATE2019: 27
For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated $DNA$? $KpnI$ $DpnI$ $XhoI$ $MluI$
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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soujanyareddy13
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265
GATE2019: 28
Match the organelles in $Group\; I$ with their function in $Group\; II$ ... $P-1, Q-4, R-5, S-3$ $P-2, Q-5, R-3, S-4$ $P-1, Q-3, R-4, S-5$
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...
soujanyareddy13
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soujanyareddy13
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266
GATE2019: 29
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 similarity E-value $<10^{-10}$ indicates sequence homology A higher BLAST score indicates higher sequence similarity E-value $>10^{10}$ ... $P, Q$ and $R$ only $Q$ and $R$ only $P, R$ and $S$ only $P$ and $S$ only
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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2.7k
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soujanyareddy13
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267
GATE2019: 30
Which one of the following is coded by the $ABO$ blood group locus in the human genome? Acyl transferase Galactosyltransferase Transposase $\beta$-Galactosidase
Which one of the following is coded by the $ABO$ blood group locus in the human genome?Acyl transferaseGalactosyltransferaseTransposase$\beta$-Galactosidase
soujanyareddy13
2.7k
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soujanyareddy13
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268
GATE2019: 31
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$ and $R$ only $Q$ and $R$ only $P, Q$ and $R$
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...
soujanyareddy13
2.7k
points
soujanyareddy13
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269
GATE2019: 32
$Group\; I$ lists spectroscopic methods and $Group\; II$ lists biomolecular applications of these methods. Match the methods in $Group\; I$ with the applications in $Group\; II$ ... $P-4, Q-3, R-1$ $P-2, Q-1, R-3$ $P-1, Q-2, R-4$ $P-3, Q-2, R-4$
$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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2.7k
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soujanyareddy13
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270
GATE2019: 33
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 peptides are analyzed by polyacrylamide gel electrophoresis at pH $8.0$. Which one of the ... faster than $Q$ towards the cathode Both $P$ and $Q$ will migrate together $Q$ will migrate faster than $P$ towards the anode
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...
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271
GATE2019: 34
Antibody-producing hybridoma cells are generated by the fusion of a $T$ cell with a myeloma cell $B$ cell with a myeloma cell macrophage with a myeloma cell $T$ cell and a $B$ cell
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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2.7k
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soujanyareddy13
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272
GATE2019: 35
Which of the following statements are CORRECT about the function of fetal bovine serum in animal cell culture? lt stimulates cell growth It enhances cell attachment lt provides hormones and minerals It maintains $pH$ at $7.4$ $P$ and $Q$ only $P$ and $S$ only $P, Q$ and $R$ only $P, Q, R$ and $S$
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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soujanyareddy13
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273
GATE2019: 36
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}'$ triphosphate ${2}'-{5}'$ triphosphate
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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274
GATE2019: 37
Which one of the following amino acid residues will destabilize an $\alpha$-helix when inserted in the middle of the helix? Pro Val lIe Leu
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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275
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$$y^{2}=x^{2}...
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gate2019
differential-equations
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276
GATE2019: 39
The Laplace transform of the function $f\left ( t \right )=t^{2}+2t+1$ is $\dfrac{1}{s^{3}}+\dfrac{3}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{4}{s^{3}}+\dfrac{4}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{1}{s^{3}}+\dfrac{2}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{2}{s^{3}}+\dfrac{2}{s^{2}}+\dfrac{1}{s}$
The Laplace transform of the function $f\left ( t \right )=t^{2}+2t+1$ is $\dfrac{1}{s^{3}}+\dfrac{3}{s^{2}}+\dfrac{1}{s} \\$$\dfrac{4}{s^{3}}+\dfrac{4}{s^{2}}+\dfrac{1}{...
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2.7k
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gate2019
differential-equations
laplace-transforms
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277
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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278
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...
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2.7k
points
soujanyareddy13
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279
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} ...
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280
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...
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