GATE Biotechnology February 2025

GATE Biotechnology February 2025

Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the num

Calculation based on standard general principles yields 0.17 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 with, 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 2025

If the doubling time of a bacterial population is 3 hours, then its average specific growth rate during this period is _

Calculation based on standard genetics principles yields 0.23 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: Pierce, Genetics: A Conceptual Approach, chapter on if the doubling time of a, covers Mendelian inheritance, population genetics, allele frequencies, penetrance and quantitative genetics with worked examples, published by W. H. Freeman.

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GATE Biotechnology February 2025

The allele associated with albinism in humans is recessive (c). The probability that an albino male (cc) and a carrier f

Calculation based on standard genetics 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: Pierce, Genetics: A Conceptual Approach, chapter on the allele associated with albinism in, covers Mendelian inheritance, population genetics, allele frequencies, penetrance and quantitative genetics with worked examples, published by W. H. Freeman.

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GATE Biotechnology February 2025

Consider a nonlinear algebraic equation, 𝑒 𝑥 − 2 = 0. Using the Newton-Raphson method, with the initial guess of 𝑥 ₀ = 1

Calculation based on standard general principles yields 0.74 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 consider a nonlinear algebraic equation 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 2025

A binary mixture of benzene and toluene under vapour-liquid equilibrium at 80 C follows ideal Raoult’s law. At this con

Calculation based on standard general principles yields 0.79 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 binary mixture of benzene and, 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 2025

Within the Michaelis-Menten framework, the ratio of 𝑣 ₀ /𝑉 ₘₐₓ when [S] = 20 × K ₘ is ______. (Round off to two decimal

Calculation based on standard general principles yields 0.95 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 within the michaelis menten framework the, 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 2025

The percentage of light that would pass through a sample with an absorbance of 2 would be ______% . (Round off to the ne

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 percentage of light that would, 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 2025

For a mechanically reversible isobaric process taking place in a closed system involving 5 moles of an ideal gas, the te

Calculation based on standard bioprocess principles yields 15611 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 for a mechanically reversible isobaric process, 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 2025

For the coupled reactions given below Glucose 6-phosphate + H ₂ O → Glucose + Pi ( Reaction 1 ) ATP + Glucose → ADP + Gl

Calculation based on standard biochemistry principles yields -24 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 for the coupled reactions given below, 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 2025

In a fermentation process, each mole of glucose is converted to biomass (CH ₁.₈ O ₀.₅ N ₀.₂ ), with a biomass yield coef

Calculation based on standard biochemistry principles yields 3.48 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 in a fermentation process each mole, 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 2025

A 2 L bioreactor is being operated as a chemostat, at a flow rate of 0.8 L/h and sterile feed of 10 g/L substrate. The b

Calculation based on standard microbiology principles yields 3.6 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: Madigan et al., Brock Biology of Microorganisms, chapter on a 2 l bioreactor is being, describes microbial growth phases, physiology, environmental microbiology and industrial applications relevant to biotechnology processes, published by Pearson.

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GATE Biotechnology February 2025

The contour length of a B-DNA molecule that encodes a bacterial protein of 33 kDa is ______ nm. Consider the average mol

Calculation based on standard biochemistry principles yields 306 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 the contour length of a b, explains metabolic pathways, enzyme mechanisms, structural biochemistry and thermodynamic principles governing biomolecular transformations, published by W. H. Freeman and Company.

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