Q.1 “You are delaying the completion of the task. Send _______ contributions at theearliest.”(A) you are(B) your(C) you’re(D) yore Question Analysis This sentence completion question tests knowledge of possessive pronouns, […]
Tag: GATE Biotechnology Previous Year Papers with Solutions
Tag: GATE Biotechnology Previous Year Papers with Solutions
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Trapezoidal Rule Error in ∫₀¹ x² dx
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- January 10, 2026
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Q65 The absolute relative error in % in the integral ∫01 x2dx by the trapezoidal rule with step size 0.5 is % (rounded off to two decimal places). The absolute […]
Find Value of a | y = x2 ln x |
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- January 10, 2026
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Q64 y(x) = x2lnx for x > 0 is a solution of dx2y/dx2 + 4dy/dx = ax. Then the value of a is . Given y(x) = x2 ln x […]
Solve lim x → ∞ x 2 ln ( 1 + 2024 / x )
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- January 10, 2026
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Q.63 The value of the limit limx→∞ (x/2) ln (1 + 2024/x) is ______. The Limit limx→∞ (x/2) ln(1 + 2024/x) Equals 1012 Limit Evaluation Direct substitution yields ∞ ⋅ […]
Finding Eigenvalue λ for Eigenvector (2,2,2) of Matrix [,,]
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- January 10, 2026
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Q.62 If 𝑣⃗ = (2, 2, 2) is an eigenvector of the matrix ( 1 2 3 ; 1 2 3 ; 1 2 3 ) corresponding to the non-zero eigenvalue […]
Fungal Fermentation Scale-Up
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- January 10, 2026
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Q61 Consider scale-up of fungal fermentation from model-type to 20,000 L prototype scale-up tank fermenter. The model-type and prototype have 20.0 L and 500 L impeller, respectively. The scale-up criterion […]
Fed Batch Quasi-Steady State
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- January 10, 2026
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Q60 A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. Biomass concentration is 50 g L−1, glucose volume is 500 L, with constant […]
Fermenter Medium Leakage Rate Calculation
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- January 10, 2026
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Q59 A fermenter is filled with medium at 1 L min−1. A leak develops at the bottom of the fermenter when the rate of medium leakages 200 L in t […]
E. coli Generations Calculation
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- January 10, 2026
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Q58 E. coli is inoculated in a shake flask containing nutrient medium. The initial number of viable cells in the medium is 102. After few hours, the number of viable […]
Free Energy Change for Hydrolysis of α-Glycerophosphate
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- January 10, 2026
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Q57 The free energy change of ATP hydrolysis at 25°C is −32 kJ mol−1. The free energy change for the formation of α-glycerophosphate from glycerol and ATP is −8.2 kJ […]


