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GATE Biotechnology February 2023

Latest questions in this category.

54 questions

GATE Biotechnology February 2023

Two fair six-sided dice are thrown. The probability of getting 12 as the product of the numbers on the dice (rounded off

Calculation based on standard general principles yields 0.11 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 two fair six sided dice are, 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 2023

If 7 ³ˣ = 216 , the value of 7 ⁻ˣ (rounded off to three decimal places) is ____________.

Calculation based on standard general principles yields 0.167 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 7 216 the value 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 2023

Ten playing cards numbered 1, 2, 3, …., 10 are placed face down on a table. One card is drawn at random, its number reco

Calculation based on standard general principles yields 0.45 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 ten playing cards numbered 1 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 2023

The values of the consistency index ‘ K ’ and the flow behavior index ‘ n ’ of a dilatant fluid are 0.415 (in CGS units)

Calculation based on standard bioprocess 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: Shuler and Kargi, Bioprocess Engineering: Basic Concepts, chapter on the values of the consistency index, 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 2023

If 1000 bp of a double-helical DNA weighs 1 X10 ⁻ ¹⁸ gm and distance between two bp is 0.34 nm , the total amount of DNA

Calculation based on standard molecular principles yields 1.1 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: Watson et al., Molecular Biology of the Gene, chapter on if 1000 bp of a double, 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 2023

The distance between the two points of intersection of x ² + y = 7 and x + y = 7 (rounded off to two decimal places) is

Calculation based on standard general principles yields 1.41 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 distance between the two points, 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 2023

E. coli is cultivated in a chemostat operated at a dilution rate of 0.2 h ⁻¹ . The values of biomass yield due to oxygen

Calculation based on standard bioprocess principles yields 10 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 e coli is cultivated 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 February 2023

An evaporator is insulated using glass wool material of 0.15 m thickness. The inner most surface and the outer surface o

Calculation based on standard bioprocess principles yields 1438 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 an evaporator is insulated using glass, 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 2023

If there are three unrooted trees for four protein sequences, the number of rooted trees for the same number of sequence

Calculation based on standard biochemistry principles yields 15 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 if there are three unrooted trees, 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 2023

E. coli cultivated at 298 K uptakes an uncharged compound (A) by passive diffusion. The intracellular and extracellular

Calculation based on standard cell principles yields -2.73 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 e coli cultivated at 298 k, 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 2023

A series (S) is given as S = 1 + 3 + 5 + 7 + 9 + …… The sum of the first 50 terms of S is ____________.

Calculation based on standard general principles yields 2500 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 series s 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 2023

A proportional controller is used to control the temperature of an autoclave from 60 ⁰ C to 130 ⁰ C . If the proportiona

Calculation based on standard general principles yields 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 a proportional controller is used to, provides foundational concepts, mathematical derivations, probability calculations and analytical methods for biotechnology problem solving, published by W. H. Freeman.

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