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GATE2017-33
Consider an infinite number of cylinders. The first cylinder has a radius of $1$ meter and height of $1$ meter. The second one has a radius of $0.5$ meter and height of $0.5$ meter. Every subsequent cylinder has half the radius and half the radius and ... cylinder. The sum of the volumes (in cubic meters) of these infinite numbers of cylinder is __________. Given data: $\pi = 3.14$
Consider an infinite number of cylinders. The first cylinder has a radius of $1$ meter and height of $1$ meter. The second one has a radius of $0.5$ meter and height of $...
Milicevic3306
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gate2017
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522
GATE2015-46
Plasmid DNA $(0.5 \: \mu g)$ containing an ampicillin resistance marker was added to $200 \: \mu l$ of competent cells. The transformed competent cells were diluted $10,000$ times, out of which, $50 \: \mu l$ was plated on agar plates containing ampicillin. A total of $35$ colonies were obtained. The transformation efficiency is _______$\times 10^6 \: \text{ cfu} \cdot \mu g^{-1}$
Plasmid DNA $(0.5 \: \mu g)$ containing an ampicillin resistance marker was added to $200 \: \mu l$ of competent cells. The transformed competent cells were diluted $10,0...
Milicevic3306
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gate2015
numerical-answers
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523
GATE2015-53
Consider the following multiple sequence alignment of four DNA sequences. $\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{array}$Shannon's entropy of the above alignment is ___________
Consider the following multiple sequence alignment of four DNA sequences.$$\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{arra...
Milicevic3306
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gate2015
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524
GATE BT 2024 | Question: 41
Which of the following conditions induce(s) the expression of $\beta$-galactosidase gene in the lac operon? Absence of glucose Absence of lactose Presence of glucose Presence of lactose
Which of the following conditions induce(s) the expression of $\beta$-galactosidase gene in the lac operon?Absence of glucoseAbsence of lactosePresence of glucosePresence...
admin
2.7k
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admin
asked
Mar 25
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gatebt-2024
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525
GATE BT 2024 | Question: 49
A fermentor is filled with medium at a rate of $1 \mathrm{~L} \mathrm{~min}^{-1}$. A leak develops at the bottom of the fermentor when the medium in the fermentor reaches $200 \mathrm{~L}$ ... medium in the fermentor after $10 \mathrm{~min}$ of leakage is $\_\_\_\_\_\_\_\_$ $\text{L}$ (Answer in integer).
A fermentor is filled with medium at a rate of $1 \mathrm{~L} \mathrm{~min}^{-1}$. A leak develops at the bottom of the fermentor when the medium in the fermentor reaches...
admin
2.7k
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admin
asked
Mar 25
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gatebt-2024
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526
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...
go_editor
1.4k
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go_editor
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Mar 1, 2021
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gatebt-2021
numerical-answers
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527
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...
soujanyareddy13
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gate2019
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528
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...
soujanyareddy13
2.7k
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soujanyareddy13
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gate2019
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529
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...
soujanyareddy13
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soujanyareddy13
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530
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
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soujanyareddy13
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gate2019
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531
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
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soujanyareddy13
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gate2019
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532
GATE2020: 12
Which of the following types of molecules act as biological catalysts? Protein $RNA$ Phospholipid $P$ and $Q$ only $P$ and $R$ only $Q$ and $R$ only $P, Q$ and $R$
Which of the following types of molecules act as biological catalysts?Protein$RNA$Phospholipid$P$ and $Q$ only$P$ and $R$ only $Q$ and $R$ only$P, Q$ and $R$
soujanyareddy13
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533
GATE2019: 9
Which of the following processes can increase genetic diversity of bacteria in nature? Conjugation Transformation Transduction Transfection $P$ only $P$ and $Q$ only $P, Q$ and $R$ only $P, Q, R$ and $S$
Which of the following processes can increase genetic diversity of bacteria in nature?ConjugationTransformationTransductionTransfection$P$ only$P$ and $Q$ only$P, Q$ and ...
soujanyareddy13
2.7k
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soujanyareddy13
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gate2019
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534
GATE2017-31
Match the organisms in $\text{Column I}$ with the characteristics in $\text{Column II}$ ... $\text{P-2, Q-1, R-4, S-3}$ $\text{P-4, Q-1, R-2, S-3}$
Match the organisms in $\text{Column I}$ with the characteristics in $\text{Column II}$:$\begin{array}{|l|l|l|l|} \hline & \textbf{Column I} && \textbf{Column II} \\ \hli...
Milicevic3306
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gate2017
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535
GATE BT 2024 | Question: 24
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
admin
2.7k
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admin
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Mar 25
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gatebt-2024
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536
GATE BT 2024 | Question: 33
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution. convergent divergent neutral parallel
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution.convergentdivergentneutralparallel
admin
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admin
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Mar 25
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537
GATE BT 2024 | Question: 52
If $\vec{v}=\left(\begin{array}{l}2 \\ 2 \\ 2\end{array}\right)$ is an eigenvector of the matrix $\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3\end{array}\right)$ corresponding to the non-zero eigenvalue, $\lambda$, then the value of $\lambda$ is $\_\_\_\_\_\_\_\_$.
If $\vec{v}=\left(\begin{array}{l}2 \\ 2 \\ 2\end{array}\right)$ is an eigenvector of the matrix $\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3\end{array}\r...
admin
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admin
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Mar 25
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538
GATE2020: 13
Which one of the following media components is used to maintain $pH$ in mammalian cell culture? $CaCl_{2}$ $MgSO_{4}$ $NaCl$ $NaHCO_{3}$
Which one of the following media components is used to maintain $pH$ in mammalian cell culture?$CaCl_{2}$$MgSO_{4}$$NaCl$$NaHCO_{3}$
soujanyareddy13
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539
GATE2019: 10
Which one of the following is $NOT$ a part of the human nonspecific defense system? Interferon Mucous Saliva Antibody
Which one of the following is $NOT$ a part of the human nonspecific defense system?InterferonMucousSalivaAntibody
soujanyareddy13
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soujanyareddy13
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gate2019
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540
GATE2017-24
A bacterium has a genome of size $6$ million base pairs. If the average rate of DNA synthesis is $1000$ base pairs/second, the time taken (in minutes) for replication of the genome will be ________.
A bacterium has a genome of size $6$ million base pairs. If the average rate of DNA synthesis is $1000$ base pairs/second, the time taken (in minutes) for replication of ...
Milicevic3306
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gate2017
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541
GATE2017-32
Which one of the following amino acids has three ionizable groups? Glycine Leucine Valine Lysine
Which one of the following amino acids has three ionizable groups?GlycineLeucineValineLysine
Milicevic3306
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gate2017
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542
GATE2014-32
Cholera toxin increases $cAMP$ levels by modifying $G_i$ protein modifying $G_s$ protein binding to adenylate cyclase activating $cAMP$ phosphodiesterase
Cholera toxin increases $cAMP$ levels bymodifying $G_i$ proteinmodifying $G_s$ proteinbinding to adenylate cyclaseactivating $cAMP$ phosphodiesterase
Milicevic3306
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Milicevic3306
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Mar 25, 2018
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gate2014
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543
GATE2014-45
Match the items in $\text{Group I}$ with $\text{Group II}$ ... $\text{P-2, Q-4, R-3, S-1}$ $\text{P-3, Q-1, R-4, S-2}$ $\text{P-2, Q-4, R-1, S-3}$
Match the items in $\text{Group I}$ with $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \text{Group I} & & \text{Group II} \\ \hline P. & \text{Receptor tyrosine kin...
Milicevic3306
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gate2014
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544
GATE2012-20
An example of a program for constructing a phylogenetic tree is phylip phrap prodom PHDsec
An example of a program for constructing a phylogenetic tree isphylipphrapprodomPHDsec
Milicevic3306
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gate2012
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545
GATE BT 2024 | Question: 19
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$. $\frac{1}{\sqrt{2}+1}$ $\frac{\sqrt{2}}{\sqrt{2}+1}$ $\frac{1}{\sqrt{2}-1}$ $\frac{\sqrt{2}}{\sqrt{2}-1}$
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$.$\frac{1}{\sqrt{2}+1}$$\frac{\sqrt{2}}{\sqrt{2}+1}$$\frac{1}{\s...
admin
2.7k
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admin
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Mar 25
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gatebt-2024
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546
GATE BT 2024 | Question: 43
Under complete cell washout condition in a chemostat with sterile feed, which of the following statements is/are correct? Biomass concentration in the reactor is maximum Substrate concentration in the exit stream is less than that in the inlet stream ... in the exit stream is equal to that in the inlet stream Substrate concentration in the exit stream is zero
Under complete cell washout condition in a chemostat with sterile feed, which of the following statements is/are correct?Biomass concentration in the reactor is maximumS...
admin
2.7k
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admin
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Mar 25
Others
gatebt-2024
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547
GATE BT 2024 | Question: 48
E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is $10^2$. After few hours, the number of viable cells is $10^6$. Assuming cell divides by binary fission, the number of generations that have taken place is $\_\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is $10^2$. After few hours, the number of viable ...
admin
2.7k
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admin
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Mar 25
Others
gatebt-2024
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548
GATE BT 2024 | Question: 55
The absolute relative error in evaluating the integral $\int_0^1 x^2 d x$ by the trapezoidal rule with the step size $0.25$ is $\%$ $\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
The absolute relative error in evaluating the integral $\int_0^1 x^2 d x$ by the trapezoidal rule with the step size $0.25$ is $\%$ $\_\_\_\_\_\_\_\_$ (rounded off to $2$...
admin
2.7k
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admin
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Mar 25
Others
gatebt-2024
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549
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...
soujanyareddy13
2.7k
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soujanyareddy13
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gate2019
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550
GATE2017-20
A polymerase chain reaction (PCR) was set up with the following reagents: DNA template, Taq polymerase, buffer, dNTPs, and Mg$^{2+}$. Which one of the following is missing in the reaction mixture? Helicase Single-stranded binding proteins Primers Reverse transciptase
A polymerase chain reaction (PCR) was set up with the following reagents: DNA template, Taq polymerase, buffer, dNTPs, and Mg$^{2+}$. Which one of the following is missin...
Milicevic3306
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gate2017
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551
GATE2017-34
The concentration (in micromolar) of NADH in a solution with $A_{340}=0.50$ is _________ Given data: Path length $=1$ cm; Molar extinction coefficient of NADH $\varepsilon_{340}= 6220 M^{-1}cm^{-1}$
The concentration (in micromolar) of NADH in a solution with $A_{340}=0.50$ is _________Given data: Path length $=1$ cm; Molar extinction coefficient of NADH $\varepsilon...
Milicevic3306
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gate2017
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552
GATE2017-55
Which of the following conditions promote the development of human autoimmune disorders? Inability to eliminate self-reactive lymphocytes Generation of auto-antibodies Ability to eliminate self-reactive T-cells Induction of regulatory T-cells in the thymus P,R Q,S P,Q R,S
Which of the following conditions promote the development of human autoimmune disorders?Inability to eliminate self-reactive lymphocytesGeneration of auto-antibodiesAbili...
Milicevic3306
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gate2017
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553
GATE BT 2024 | Question: 14
An element that is present in a nucleotide but not in a nucleoside is $\_\_\_\_\_\_\_$ carbon nitrogen oxygen phosphorous
An element that is present in a nucleotide but not in a nucleoside is $\_\_\_\_\_\_\_$carbonnitrogenoxygenphosphorous
admin
2.7k
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admin
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Mar 25
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gatebt-2024
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554
GATE BT 2024 | Question: 45
Aspergillus niger is grown in a $10,000$ ... concentration is $\_\_\_\_\_\_\_$ $\mathrm{kg} \mathrm{m}^{-3}$ (Answer in integer).
Aspergillus niger is grown in a $10,000$ L stirred batch bioreactor under aerated conditions to produce citric acid. At steady state oxygen transfer conditions, the speci...
admin
2.7k
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admin
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Mar 25
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gatebt-2024
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555
GATE BT 2024 | Question: 47
The free energy change of ATP hydrolysis at $25^{\circ} \mathrm{C}$ is $-32.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The free energy change for hydrolysis of $\alpha$-glycerophosphate to glycerol is $-8.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$ ... $\_\_\_\_\_\_\_\_$ $\mathrm{kJ} \mathrm{mol}^{-1}$ (Answer in integer).
The free energy change of ATP hydrolysis at $25^{\circ} \mathrm{C}$ is $-32.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The free energy change for hydrolysis of $\alpha$-glycerop...
admin
2.7k
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admin
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Mar 25
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gatebt-2024
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556
GATE BT 2024 | Question: 50
A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At $2 \mathrm{~h}$, the culture volume is $500 \mathrm{~L}$ with a constant sterile inlet feed at $50 \mathrm{~L} \mathrm{~h}^{-1}$ of glucose. The culture kinetic ... reactor will be $\_\_\_\_\_\_\_\_$ $\mathrm{g} \mathrm{L}^{-1}$ (rounded off to one decimal place).
A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At $2 \mathrm{~h}$, the culture volume is $500 \mathrm{~L}$ with...
admin
2.7k
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admin
asked
Mar 25
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gatebt-2024
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557
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...
soujanyareddy13
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soujanyareddy13
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558
GATE2017-45
A pedigree of an inheritable disease is shown below. This inheritable disease is $X$-linked dominant $X$-linked recessive or Y-linked only $Y$-linked only $X$-linked recessive
A pedigree of an inheritable disease is shown below.This inheritable disease is$X$-linked dominant$X$-linked recessive or Y-linkedonly $Y$-linkedonly $X$-linked recessive...
Milicevic3306
7.9k
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gate2017
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559
GATE2015-30
In DNA sequencing reactions using the chain termination method, the ratio of ddNTPs to dNTPs should be $0$ $< 1$ $1$ $>1$
In DNA sequencing reactions using the chain termination method, the ratio of ddNTPs to dNTPs should be$0$$< 1$$1$$>1$
Milicevic3306
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gate2015
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560
GATE2015-48
$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
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