Category: GATE Biotechnology Previous Year Papers with Solutions

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 […]

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 […]

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 ∞ ⋅ […]

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 […]

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 […]

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 […]

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 […]

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 […]

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 […]

Q.56 Ethanol is produced in a 10,000 L stirred bioreactor using an impeller of diameter 1 m. The density and viscosity of fermentation broth are 1000 kg m-3 and 1 […]