GATE Biotechnology February 2020

GATE Biotechnology February 2020

Growth of an organism on glucose in a chemostat is characterized by Monod model with specific growth rate = 0.45 11^-1 a

Calculation based on standard biochemistry principles yields 0 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Nelson and Cox, Lehninger Principles of Biochemistry, section on growth of an organism on glucose, explains metabolic pathways, enzyme mechanisms, structural biochemistry and thermodynamic principles governing biomolecular transformations, published by W. H. Freeman and Company.

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GATE Biotechnology February 2020

E. coli was grown in ¹⁵ N medium for several generations. Cells were then transferred to ¹⁴ N medium, allowed to grow fo

Calculation based on standard molecular principles yields 0.125 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Watson et al., Molecular Biology of the Gene, chapter on e coli was grown in n, details DNA replication, transcription, repair mechanisms, recombinant DNA technology and sequence analysis methods with experimental evidence, published by Pearson Education.

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GATE Biotechnology February 2020

A normal random variable has mean equal to 0. and standard deviation equal to 3. The probability that on a random draw t

Calculation based on standard general principles yields 0.5 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on a normal random variable has mean, provides foundational concepts, mathematical derivations, probability calculations and analytical methods for biotechnology problem solving, published by W. H. Freeman.

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GATE Biotechnology February 2020

The system of linear equations cx + y = 5 3x +3y= 6 has no solution when c is equal to

Calculation based on standard general principles yields 1 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on the system of linear equations cx, provides foundational concepts, mathematical derivations, probability calculations and analytical methods for biotechnology problem solving, published by W. H. Freeman.

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GATE Biotechnology February 2020

Assume that a cell culture was started with five human fibroblast cells. Two cells did not divide even once whereas the

Calculation based on standard cell principles yields 1196 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Alberts et al., Molecular Biology of the Cell, section on assume that a cell culture was, discusses cell structure, membrane organization, cell cycle regulation and intracellular signaling with detailed illustrations, published by Garland Science.

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GATE Biotechnology February 2020

A function f is given as: f(X) = 4X — X^2 The function is maximized when X is equal to

Calculation based on standard general principles yields 2 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on a function f is given as, provides foundational concepts, mathematical derivations, probability calculations and analytical methods for biotechnology problem solving, published by W. H. Freeman.

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GATE Biotechnology February 2020

To facilitate mass transfer from a gas to a liquid phase, a gas bubble of radius r is introduced into the liquid. The ga

Calculation based on standard general principles yields 2 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on to facilitate mass transfer from a, provides foundational concepts, mathematical derivations, probability calculations and analytical methods for biotechnology problem solving, published by W. H. Freeman.

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GATE Biotechnology February 2020

An infinite series S is given as: S = 1 + 2/3 + 3/9 + 4/27 + 5/81 + (to infinity) The value of S ........ is (round off

Calculation based on standard general principles yields 2.25 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on an infinite series s is given, provides foundational concepts, mathematical derivations, probability calculations and analytical methods for biotechnology problem solving, published by W. H. Freeman.

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GATE Biotechnology February 2020

Protein A and protein B form a covalent complex. Gel filtration chromatography of this complex showed a peak correspondi

Calculation based on standard biochemistry principles yields 25 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Nelson and Cox, Lehninger Principles of Biochemistry, section on protein a and protein b form, explains metabolic pathways, enzyme mechanisms, structural biochemistry and thermodynamic principles governing biomolecular transformations, published by W. H. Freeman and Company.

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GATE Biotechnology February 2020

The concentrations of ATP, ADP and inorganic phosphate in a cell are 2.59, 0.73 and 2.72 mM, respectively. Under these c

Calculation based on standard cell principles yields 31.18 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Alberts et al., Molecular Biology of the Cell, section on the concentrations of atp adp and, discusses cell structure, membrane organization, cell cycle regulation and intracellular signaling with detailed illustrations, published by Garland Science.

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GATE Biotechnology February 2020

The sequence of a 1 Mb long DNA is random. This DNA has all four bases occurring in equal proportion. The number of nucl

Calculation based on standard molecular principles yields 4096 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Watson et al., Molecular Biology of the Gene, chapter on the sequence of a 1 mb, details DNA replication, transcription, repair mechanisms, recombinant DNA technology and sequence analysis methods with experimental evidence, published by Pearson Education.

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GATE Biotechnology February 2020

A batch reactor is inoculated with 1 g/L biomass. Under these conditions, cells exhibit a lag phase of 30 min. If the sp

Calculation based on standard cell principles yields 528.65 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

Ref: Alberts et al., Molecular Biology of the Cell, section on a batch reactor is inoculated with, discusses cell structure, membrane organization, cell cycle regulation and intracellular signaling with detailed illustrations, published by Garland Science.

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