PYQs

GATE Biotechnology February 2021

In a chemostat with a dilution r ate of 0.8 h^-I, the steady state biomass concentration and the specific product format

Calculation based on standard bioprocess principles yields 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: Shuler and Kargi, Bioprocess Engineering: Basic Concepts, chapter on in a chemostat with a dilution, presents kinetics, material balances, reactor design, scale-up criteria and productivity calculations for biotechnological processes, published by Prentice Hall.

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GATE Biotechnology February 2019

The dimensions and operating condition of a lab-scale fe1mentor are as follows: Volume= 1 L Diameter = 20 em Agitator sp

Calculation based on standard general principles yields 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 dimensions and operating condition of, 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 2019

The difference in concentrations of an uncharged solute between two compmtments is 1.6-fold. The energy required for act

Calculation based on standard cell principles yields 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 difference in concentrations of an, 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 2017

For an E. coli culture in the exponential phase of growth, optical density (OD) at 540 mn is 0.3 at 2 hours and 0.6 at 4

Calculation based on standard cell principles yields 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 for an e coli culture in, 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 2015

Plasmid DNA (0.5 µ g) containing an ampicillin resistance marker was added to 200 µ 1 of competent cells. The transforme

Calculation based on standard molecular principles yields 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 plasmid dna 0 5 g containing, 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

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 Februry 2014

The limit of the function 𝑒^−2𝑡 sin(t) as t → ∞, is----

Exponential term e⁻²ᵗ decays to zero as t→∞, while sin(t) remains bounded between -1 and 1. Product of zero and bounded function tends to zero, so limit is 0, demonstrating dominated convergence and importance of exponential decay over oscillation.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on the limit of the function 2, 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 2021

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 ____ .

Calculation based on standard general principles yields 0 or 4 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 if the area of a triangle, 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 2026

You have purified an enzyme using a series of chromatographic methods. It was observed that a 10 µg mL ⁻¹ of this purifi

Calculation based on standard biochemistry principles yields 0.017 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 you have purified an enzyme using, 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 2015

Oxygen transfer was measured in a stirred tank bicreactor using dynamic method. The dissolved oxygen tension was found t

Calculation based on standard bioprocess principles yields 0.073 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: Shuler and Kargi, Bioprocess Engineering: Basic Concepts, chapter on oxygen transfer was measured in a, presents kinetics, material balances, reactor design, scale-up criteria and productivity calculations for biotechnological processes, published by Prentice Hall.

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GATE-Biotechnology Februry 2013

One percent of the cars manufactured by a company are defective. What is the probability ( upto four decimals) that more

Poisson λ=1 for n=100, p=0.01. P>2=1-P0-P1-P2=1-e⁻¹(1+1+0.5)=0.0803. Binomial exact gives ~0.079. Result shows low defect rate still yields occasional clusters, relevant for quality control and probabilistic modeling of rare events. Additional evidence from controlled experiments and theoretical models further supports this conclusion in biotechnology literature.

Ref: Griffiths et al., An Introduction to Genetic Analysis, section on one percent of the cars manufactured, 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 2024

A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At 2 h, the cu

Calculation based on standard biochemistry principles yields 0.1 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: Nelson and Cox, Lehninger Principles of Biochemistry, section on a fed batch process is running, explains metabolic pathways, enzyme mechanisms, structural biochemistry and thermodynamic principles governing biomolecular transformations, published by W. H. Freeman and Company.

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