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Recent questions tagged numerical-answers
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81
GATE2020: 19
The elemental composition of dry biomass of a yeast species is $CH_{1.6}O_{0.4}N_{0.2}S_{0.0024}P_{0.017}$. The contribution of carbon to the dry biomass is _________ $\%$ (round off to $2$ decimal places). [Given: atomic weights of $H,\:C,\:N,\:O,\:P$ and $S$ are $1,\:12,\:14,\:16,\:31$ and $32$, respectively]
The elemental composition of dry biomass of a yeast species is $CH_{1.6}O_{0.4}N_{0.2}S_{0.0024}P_{0.017}$. The contribution of carbon to the dry biomass is _________ $\%...
soujanyareddy13
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soujanyareddy13
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Nov 3, 2020
Others
gate2020
numerical-answers
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0
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82
GATE2019: 19
The number of possible rooted trees in a phylogeny of three species is ______.
The number of possible rooted trees in a phylogeny of three species is ______.
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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0
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0
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83
GATE2019: 20
Matrix $A=\begin{bmatrix} 0&6 \\ p&0 \end{bmatrix}$ will be skew-symmetric when $p$= ____.
Matrix $A=\begin{bmatrix} 0&6 \\ p&0 \end{bmatrix}$ will be skew-symmetric when $p$= ____.
soujanyareddy13
2.7k
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soujanyareddy13
asked
Nov 3, 2020
Linear Algebra
gate2019
numerical-answers
linear-algebra
matrices
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0
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0
answers
84
GATE2016-20
The power required for agitation of non-aerated medium in fermentation is ___________kW. Operating conditions are as follows: Fermentor diameter $= 3$ m Number of impellers $= 1$ Mixing speed $= 300$ rpm Diameter of the Rushton turbine $= 1$ m Viscosity of the broth $= 0.001$ Pa.s Density of the broth $= 1000$ kg.m$^{-3}$ Power number $= 5$
The power required for agitation of non-aerated medium in fermentation is ___________kW.Operating conditions are as follows:Fermentor diameter $= 3$ mNumber of impellers ...
Milicevic3306
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gate2016
numerical-answers
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0
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0
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85
GATE2016-22
Runs scored by a batsman in five one-day matches are $55$, $75$, $67$, $88$ and $15$. The standard deviation is _________
Runs scored by a batsman in five one-day matches are $55$, $75$, $67$, $88$ and $15$. The standard deviation is _________
Milicevic3306
7.9k
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Milicevic3306
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Probability and Statistics
gate2016
numerical-answers
probability-and-statistics
statistics
standard-deviation
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0
votes
0
answers
86
GATE2016-23
The positive Eigen value of the following matrix is __________. $\begin{bmatrix} 2 & 1 \\ 5 & -2 \end{bmatrix}$
The positive Eigen value of the following matrix is __________. $$\begin{bmatrix} 2 & 1 \\ 5 & -2 \end{bmatrix}$$
Milicevic3306
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Milicevic3306
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Linear Algebra
gate2016
numerical-answers
linear-algebra
matrices
eigen-values
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0
votes
0
answers
87
GATE2016-25
The value of the integral $\displaystyle \int_0^{0.9} \dfrac{dx}{(1-x)(2-x)}$ is ____________
The value of the integral $\displaystyle \int_0^{0.9} \dfrac{dx}{(1-x)(2-x)}$ is ____________
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Calculus
gate2016
numerical-answers
calculus
definite-integrals
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0
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0
answers
88
GATE2016-34
A crossing was performed between the genotypes $\textit{DdEeFfgg}$ and $\textit{ddEeFfGg}$. Assuming that the allelic pairs of all genes assort independently, the proportion of progeny having the genotype $\textit{ddeeffgg}$ is expected to be _______ $\%$
A crossing was performed between the genotypes $\textit{DdEeFfgg}$ and $\textit{ddEeFfGg}$. Assuming that the allelic pairs of all genes assort independently, the proport...
Milicevic3306
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gate2016
numerical-answers
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0
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89
GATE2016-46
The empirical formula for biomass of an unknown organism is $CH_{1.8}O_{0.5}N_{0.2}$. To grow this organism, ethanol $(C_2H_5OH)$ and ammonia are used as carbon and nitrogen sources, respectively. Assume no product formation other than biomass. To produce $1$ mole of biomass from $1$ mole of ethanol, the number of moles of oxygen required will be __________
The empirical formula for biomass of an unknown organism is $CH_{1.8}O_{0.5}N_{0.2}$. To grow this organism, ethanol $(C_2H_5OH)$ and ammonia are used as carbon and nitro...
Milicevic3306
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gate2016
numerical-answers
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0
votes
0
answers
90
GATE2016-47
$\textit{Saccharomyces cerevisiae}$ is cultured in a chemostat (continuous fermentation) at a dilution rate of $0.5 \: h^{-1}$. The feed substrate concentration is $10 \: g \cdot L^{-1}$. The biomass concentration in the chemostat at steady state will be _________ $g \cdot L^{-1}$. ... $K_s = 0.3 \: g \cdot L^{-1}$ and $s$ is substrate concentration $(g \cdot L^{-1})$.
$\textit{Saccharomyces cerevisiae}$ is cultured in a chemostat (continuous fermentation) at a dilution rate of $0.5 \: h^{-1}$. The feed substrate concentration is $10 \:...
Milicevic3306
7.9k
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Milicevic3306
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gate2016
numerical-answers
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–
0
votes
0
answers
91
GATE2016-48
Decimal reduction time of bacterial spores is $23$ min at $121 ^\circ C$ and the death kinetics follow first order. One liter medium containing $10^5$ spores per $mL$ was sterilized for $10$ min at $121^\circ C$ in a batch sterilizer. ... in the medium after sterilization (assuming destruction of spores in heating and cooling period is negligible) will be _________ $\times 10^7$.
Decimal reduction time of bacterial spores is $23$ min at $121 ^\circ C$ and the death kinetics follow first order. One liter medium containing $10^5$ spores per $mL$ was...
Milicevic3306
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Milicevic3306
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gate2016
numerical-answers
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0
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0
answers
92
GATE2016-50
An enzyme converts substrate $A$ to product $B$. At a given liquid feed stream of o rate $25$ L.min$^{-1}$ and feed substrate concentration of $2$ mol.L$^{-1}$, the volume of continuous stirred tank reactor needed for $95 \%$ ... $^{-1}$. Assumptions: Enzyme concentration is contant and does not undergo any deactivation during the reaction
An enzyme converts substrate $A$ to product $B$. At a given liquid feed stream of o rate $25$ L.min$^{-1}$ and feed substrate concentration of $2$ mol.L$^{-1}$, the volum...
Milicevic3306
7.9k
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Milicevic3306
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gate2016
numerical-answers
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0
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0
answers
93
GATE2016-51
A protein is to be purified using ion-exchange column chromatography. The relationship between HETP (Height Equivalent to Theoretical Plate) and the linear liquid velocity of mobile phase is given by: $H = \dfrac{A}{u} + Bu + C$ Where $H$ is HETP (m) and ... $66$ cm length will be _________
A protein is to be purified using ion-exchange column chromatography. The relationship between HETP (Height Equivalent to Theoretical Plate) and the linear liquid velocit...
Milicevic3306
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Milicevic3306
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Others
gate2016
numerical-answers
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0
votes
0
answers
94
GATE2016-52
An enzyme is immobilized on the surface of a non-porous spherical particle of $2$ mm diameter. The immobilized enzyme is suspended in a solution having bulk substrate concentration of $10$ mM. The enzyme follows first order kinetics with rate constant $10 s^{-1}$ and ... $(mmol.L^{-1}.s^{-1} )$. The substrate concentration at the surface of the immobilized particle will be ________ mM.
An enzyme is immobilized on the surface of a non-porous spherical particle of $2$ mm diameter. The immobilized enzyme is suspended in a solution having bulk substrate con...
Milicevic3306
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Milicevic3306
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gate2016
numerical-answers
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0
votes
0
answers
95
GATE2016-53
$\dfrac{d^2y}{dx^2}-y=0$. The conditions for this second order homogeneous differential equation are $y(0)=1$ and $\dfrac{dy}{dx}=3$ at $x=0$. The value of $y$ when $x = 2$ is __________
$\dfrac{d^2y}{dx^2}-y=0$. The conditions for this second order homogeneous differential equation are $y(0)=1$ and $\dfrac{dy}{dx}=3$ at $x=0$. The value of $y$ when $x = ...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Differential Equations
gate2016
numerical-answers
differential-equations
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0
votes
0
answers
96
GATE2016-54
The value of determinant $A$ given below is ________. $A = \begin{pmatrix} 5 & 16 & 81 \\ 0 & 2 & 2 \\ 0 & 0 & 16 \end{pmatrix}$
The value of determinant $A$ given below is ________.$A = \begin{pmatrix} 5 & 16 & 81 \\ 0 & 2 & 2 \\ 0 & 0 & 16 \end{pmatrix}$
Milicevic3306
7.9k
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Milicevic3306
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Linear Algebra
gate2016
numerical-answers
linear-algebra
matrices
determinant
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0
votes
0
answers
97
GATE2016-55
Consider the equation $V=\dfrac{aS}{b+S+\dfrac{S^2}{c}}$ Given $a = 4$, $b = 1$ and $c = 9$, the positive value of $S$ at which $V$ is maximum, will be _________
Consider the equation$V=\dfrac{aS}{b+S+\dfrac{S^2}{c}}$Given $a = 4$, $b = 1$ and $c = 9$, the positive value of $S$ at which $V$ is maximum, will be _________
Milicevic3306
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Others
gate2016
numerical-answers
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0
votes
0
answers
98
GATE2017-4
The surface area (in $m^2$) of the largest sphere that can fit into a hollow cube with edges of length $1$ meter is ______ Given data: $\pi=3.14$
The surface area (in $m^2$) of the largest sphere that can fit into a hollow cube with edges of length $1$ meter is ______Given data: $\pi=3.14$
Milicevic3306
7.9k
points
Milicevic3306
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Calculus
gate2017
numerical-answers
calculus
surface-area
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0
votes
0
answers
99
GATE2017-5
In a thin layer chromatography experiment using a silica gel plate, a compound showed migration of $12.5$ cm and the solvent front showed migration of $18$ cm. The $R_f$ value for the compound is ______
In a thin layer chromatography experiment using a silica gel plate, a compound showed migration of $12.5$ cm and the solvent front showed migration of $18$ cm. The $R_f$ ...
Milicevic3306
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Milicevic3306
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Others
gate2017
numerical-answers
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0
votes
0
answers
100
GATE2017-6
$\underset{x \to 0}{\lim} \dfrac{\sin(x)}{x}$ is ________
$\underset{x \to 0}{\lim} \dfrac{\sin(x)}{x}$ is ________
Milicevic3306
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Milicevic3306
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gate2017
numerical-answers
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0
votes
0
answers
101
GATE2017-14
If a protein contains four cysteine residues, the number of different ways they can simultaneously form two intra-molecular disulphide bonds is __________.
If a protein contains four cysteine residues, the number of different ways they can simultaneously form two intra-molecular disulphide bonds is __________.
Milicevic3306
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Milicevic3306
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gate2017
numerical-answers
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0
votes
0
answers
102
GATE2017-16
For $y=f(x)$, if $\dfrac{d^2y}{dx^2}=0$, $\dfrac{dy}{dx}=0$ at $x=0$, and $y=1$ at $x=1$, the value of $y$ at $x=2$ is __________
For $y=f(x)$, if $\dfrac{d^2y}{dx^2}=0$, $\dfrac{dy}{dx}=0$ at $x=0$, and $y=1$ at $x=1$, the value of $y$ at $x=2$ is __________
Milicevic3306
7.9k
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Milicevic3306
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Differential Equations
gate2017
differential-equations
numerical-answers
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–
0
votes
0
answers
103
GATE2017-22
A $5$ liter chemostat is fed fresh medium at $0.2$ liters/minute having a substrate concentration of $25$ grams/liter. At steady state, the outgoing stream has substrate concentration of $2.5$ grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is __________
A $5$ liter chemostat is fed fresh medium at $0.2$ liters/minute having a substrate concentration of $25$ grams/liter. At steady state, the outgoing stream has substrate ...
Milicevic3306
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gate2017
numerical-answers
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0
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0
answers
104
GATE2017-25
At the transcription start site of a gene, any of the four nucleotides can occur with equal probability $p$. The Shannon Entropy $S$, given by $S= – \Sigma_{i=1}^4 p_i \ln p_i$, for this start site is _________
At the transcription start site of a gene, any of the four nucleotides can occur with equal probability $p$. The Shannon Entropy $S$, given by $S= – \Sigma_{i=1}^4 p_i ...
Milicevic3306
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Milicevic3306
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gate2017
numerical-answers
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0
votes
0
answers
105
GATE2017-28
The angle (in degrees) between the vectors $\overrightarrow{x}= \hat{i}-\hat{j}+2 \hat{k}$ and $\overrightarrow{y} = 2 \hat{i} – \hat{j}-1.5 \hat{k}$ is _________
The angle (in degrees) between the vectors $\overrightarrow{x}= \hat{i}-\hat{j}+2 \hat{k}$ and $\overrightarrow{y} = 2 \hat{i} – \hat{j}-1.5 \hat{k}$ is _________
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Calculus
gate2017
numerical-answers
calculus
vector-calculus
vector-identities
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0
votes
0
answers
106
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
7.9k
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Milicevic3306
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gate2017
numerical-answers
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votes
0
answers
107
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
7.9k
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Milicevic3306
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gate2017
numerical-answers
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0
votes
0
answers
108
GATE2017-35
The specific activity of an enzyme in a crude extract of $\textit{E.coli}$ is $9.5$ units/mg of protein. The specific activity increased to $68$ units/mg of protein upon ion-exchange chromatography. The fold purification is ________
The specific activity of an enzyme in a crude extract of $\textit{E.coli}$ is $9.5$ units/mg of protein. The specific activity increased to $68$ units/mg of protein upon ...
Milicevic3306
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Milicevic3306
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gate2017
numerical-answers
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0
votes
0
answers
109
GATE2017-37
The value of $c$ for which the following system of linear equations has an infinite number of solutions is ________ $\begin{bmatrix}1 & 2 \\ 1 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} c \\ 4 \end{bmatrix}$
The value of $c$ for which the following system of linear equations has an infinite number of solutions is ________ $$\begin{bmatrix}1 & 2 \\ 1 & 2 \end{bmatrix} \begin{b...
Milicevic3306
7.9k
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Milicevic3306
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Linear Algebra
gate2017
numerical-answers
linear-algebra
matrices
system-of-equations
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0
votes
0
answers
110
GATE2017-39
For an $\textit{E.coli}$ culture in the exponential phase of growth, optical density (OD) at $540$ nm is $0.3$ at $2$ hours and $0.6$ at $4$ hours. Assuming that the measured OD is linearly proportional to the number of $\textit{E.coli}$ cells, the growth rate (per hour) for this culture is _________.
For an $\textit{E.coli}$ culture in the exponential phase of growth, optical density (OD) at $540$ nm is $0.3$ at $2$ hours and $0.6$ at $4$ hours. Assuming that the meas...
Milicevic3306
7.9k
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Milicevic3306
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Others
gate2017
numerical-answers
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–
0
votes
0
answers
111
GATE2017-46
If the chemical composition of proteins in an organism is $CH_{1.5}O_{0.3}N_{0.3}S_{0.004}$, the mass percentage of carbon in the protein is __________ Given data: Atomic weights $(Da)$ of $C=12, H=1, O=16, N=14$, and $S=32$.
If the chemical composition of proteins in an organism is $CH_{1.5}O_{0.3}N_{0.3}S_{0.004}$, the mass percentage of carbon in the protein is __________Given data: Atomic ...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Others
gate2017
numerical-answers
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–
0
votes
0
answers
112
GATE2017-47
For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________
For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________
Milicevic3306
7.9k
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Milicevic3306
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Probability and Statistics
gate2017
numerical-answers
probability-and-statistics
probability
probability-density-function
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–
0
votes
0
answers
113
GATE2017-49
A zero-order liquid phase reaction $A \xrightarrow{k} B$ is being carried out in a batch reactor with $k=10^{-3}$ mol/min. If the starting concentration of $A$ is $0.1$ moles/liter, the time (in minutes) taken by the system before $A$ is exhausted in a $100$ liter reactor is _________
A zero-order liquid phase reaction $A \xrightarrow{k} B$ is being carried out in a batch reactor with $k=10^{-3}$ mol/min. If the starting concentration of $A$ is $0.1$ m...
Milicevic3306
7.9k
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Milicevic3306
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gate2017
numerical-answers
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–
0
votes
0
answers
114
GATE2017-52
A DNA strand of length $25$ nm wraps diametrically around the circumference of a spherical histone-octamer once. The radius (nm) of the histone-octamer is _______ Given data: $\pi = 3.14$
A DNA strand of length $25$ nm wraps diametrically around the circumference of a spherical histone-octamer once. The radius (nm) of the histone-octamer is _______Given da...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2017
numerical-answers
+
–
0
votes
0
answers
115
GATE2017-53
One hunderd E.coli cells are each infected by a single $\lambda$ phage particle. The ratio of the number of phage particles committing to lysogeny to those committing to lysis is $4:1$. Assuming that the average burst size is $80$, the number of free phage particles released after one round of infection is _________
One hunderd E.coli cells are each infected by a single $\lambda$ phage particle. The ratio of the number of phage particles committing to lysogeny to those committing to ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2017
numerical-answers
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0
votes
0
answers
116
GATE2017-54
During anaerobic growth, an organism converts glucose $(P)$ into biomass $(Q)$, ethanol $(R)$, acetaldehyde $(S)$, and glycerol $(T)$ ... , the ethanol produced (in grams) is ________ Given data: Atomic weights (Da) of $C=12, H=1, O=16$, and $N=14$
During anaerobic growth, an organism converts glucose $(P)$ into biomass $(Q)$, ethanol $(R)$, acetaldehyde $(S)$, and glycerol $(T)$. Every mole of carbon present in glu...
Milicevic3306
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Milicevic3306
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gate2017
numerical-answers
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0
votes
0
answers
117
GATE2015-8
Fill in the missing value
Fill in the missing value
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Analytical Aptitude
gate2015
analytical-aptitude
logical-reasoning
sequence-series
numerical-answers
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–
0
votes
0
answers
118
GATE2015-19
A single subunit enzyme converts $420$ $\mu$moles of substrate to product in one minute. The activity of the enzyme is ________ $\times 10^{-6}$ Kalal.
A single subunit enzyme converts $420$ $\mu$moles of substrate to product in one minute. The activity of the enzyme is ________ $\times 10^{-6}$ Kalal.
Milicevic3306
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Milicevic3306
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Others
gate2015
numerical-answers
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–
0
votes
0
answers
119
GATE2015-22
The determinant of the matrix $\begin{bmatrix} 3 & 0 & 0 \\ 2 & 5 & 0 \\ 6 & -8 & -4 \end{bmatrix}$ is __________
The determinant of the matrix $\begin{bmatrix} 3 & 0 & 0 \\ 2 & 5 & 0 \\ 6 & -8 & -4 \end{bmatrix}$ is __________
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2015
numerical-answers
+
–
0
votes
0
answers
120
GATE2015-33
Consider the following infinite series: $1+ r+r^2 +r^3+ \dots \dots \infty$ If $r = 0.3$, then the sum of this infinite series is ____________
Consider the following infinite series:$$1+ r+r^2 +r^3+ \dots \dots \infty$$ If $r = 0.3$, then the sum of this infinite series is ____________
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2015
numerical-answers
calculus
sequences-and-series
infinite-series
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