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Recent questions tagged gate2019
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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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Calculus
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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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Probability and Statistics
gate2019
numerical-answers
probability-and-statistics
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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: 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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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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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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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$$MluI$
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GATE2019: 28
Match the organelles in $Group\; I$ with their function in $Group\; II$ ... $P-1, Q-4, R-5, S-3$ $P-2, Q-5, R-3, S-4$ $P-1, Q-3, R-4, S-5$
Match the organelles in $Group\; I$ with their function in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Lysosome} & \text{1. Digestion...
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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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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
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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...
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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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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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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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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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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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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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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: 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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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 ...
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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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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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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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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...
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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...
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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...
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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...
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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...
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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...
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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}{...
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Numerical Methods
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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...
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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...
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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...
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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 ...
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35
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...
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36
GATE2019: 5
Which one of the following enzymes is encoded by human immunodeficiency virus $(HIV)$ genome? Reverse transcriptase Phospholipase Phosphatase $ATP$ synthase
Which one of the following enzymes is encoded by human immunodeficiency virus $(HIV)$ genome?Reverse transcriptasePhospholipasePhosphatase$ATP$ synthase
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37
GATE2019: 6
$DNA$ synthesis in eukaryotes occurs during which phase of the mitotic cell cycle? $M$ $G_{1}$ $S$ $G_{10}$
$DNA$ synthesis in eukaryotes occurs during which phase of the mitotic cell cycle?$M$$G_{1}$$S$$G_{10}$
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38
GATE2019: 7
Match the human diseases in $Group\; I$ with the causative agents in $Group\; II$ ... $P-3, Q-2, R-1, S-4$ $P-3, Q-4, R-1, S-2$ $P-4, Q-3, R-1,S-2$
Match the human diseases in $Group\; I$ with the causative agents in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Amoebiasis} & \text{...
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39
GATE2019: 8
Which one of the following techniques can be used to compare the expression of a large number of genes in two biological samples in a single experiment? Polymerase chain reaction $DNA$ microarray Northern hybridization Southern hybridization
Which one of the following techniques can be used to compare the expression of a large number of genes in two biological samples in a single experiment?Polymerase chain r...
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40
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 ...
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