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General Aptitude

10 Questions
GATE→2022→General Aptitude→Verbal Ability
Q1
MCQ[1 Mark]
You should ____ when to say ____.
GATE→2022→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
Two straight lines pass through the origin (x0,y0)=(0,0)(x_{0},y_{0})=(0,0). One of them passes through the point (x1,y1)=(1,3)(x_{1},y_{1})=(1,3) and the other passes through the point (x2,y2)=(1,2)(x_{2},y_{2})=(1,2). What is the area enclosed between the straight lines in the interval [0, 1] on the x-axis?
GATE→2022→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
If p:q=1:2p:q=1:2, q:r=4:3q:r=4:3, r:s=4:5r:s=4:5 and u is 50% more than s, what is the ratio p:u?
GATE→2022→General Aptitude→Verbal Ability
Q4
MCQ[1 Mark]
Given the statements: - P is the sister of Q. - Q is the husband of R. - R is the mother of S. - T is the husband of P. Based on the above information, T is ____ of S.
GATE→2022→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is
Figure for Question 5
GATE→2022→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older. Which one of the following is the CORRECT logical inference based on the information in the above passage?
GATE→2022→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
P invested 5000 per month for 6 months of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives 49\frac{4}{9} of the total profit, what is the value of x (in ₹)?
GATE→2022→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
The frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?
Figure for Question 8
GATE→2022→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step involves, "two moves along one direction followed by one move in a perpendicular direction"... Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is
Figure for Question 9
GATE→2022→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube?
Figure for Question 10

Engineering Mathematics

9 Questions
GATE→2022→Engineering Mathematics→Differential Equations
Q11
MCQ[1 Mark]
What is the order of the differential equation given below? d2ydx2−6x=3x4−2x3+2\frac{d^{2}y}{dx^{2}}-6x=3x^{4}-2x^{3}+2
GATE→2022→Engineering Mathematics→Linear Algebra
Q12
MCQ[1 Mark]
If the eigenvalues of a 2×22\times2 matrix P are 4 and 2, then the eigenvalues of the matrix P−1P^{-1}
GATE→2022→Engineering Mathematics→Numerical Methods
Q13
NAT[1 Mark]
Consider a nonlinear algebraic equation, x ln⁡x+x−1=0x~\ln x+x-1=0. Using the Newton-Raphson method, with the initial guess of x0=3x_{0}=3, the value of x after one iteration (rounded off to one decimal place) is
GATE→2022→Engineering Mathematics→Probability and Statistics
Q14
NAT[1 Mark]
The probability density function of a random variable X is p(x)=2e−2xp(x)=2e^{-2x}. The probability P(1≤X≤2)P(1\le X\le2) (rounded off to two decimal places) is
GATE→2022→Engineering Mathematics→Calculus
Q15
NAT[1 Mark]
The maximum value of the function f(x)=3x2−2x3f(x)=3x^{2}-2x^{3} for x>0x>0 is
GATE→2022→Engineering Mathematics→Linear Algebra
Q16
MCQ[2 Marks]
A 2×22\times2 matrix P has an eigenvalue λ1=2\lambda_{1}=2 with eigenvector x1=(10)x_{1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix} and another eigenvalue λ2=5\lambda_{2}=5, with eigenvector x2=(11)x_{2}=\begin{pmatrix} 1 \\ 1 \end{pmatrix}. The matrix P is
GATE→2022→Engineering Mathematics→Differential Equations
Q17
MSQ[2 Marks]
Consider the ordinary differential equation dydx=f(x,y)=2x2−y2.\frac{dy}{dx}=f(x,y)=2x^{2}-y^{2}. If y(1)=1y(1)=1, the value(s) of y(1.5)y(1.5), using the Euler's implicit method [yn+1=yn+hf(xn+1,yn+1)][y_{n+1}=y_{n}+hf(x_{n+1},y_{n+1})] with a step size of h=0.5h=0.5, is (are)
GATE→2022→Engineering Mathematics→Probability and Statistics
Q18
NAT[2 Marks]
Consider a random variable X with mean μx=0.1\mu_{x}=0.1 and variance σX2=0.2\sigma_{X}^{2}=0.2. A new random variable Y=2X+1Y=2X+1 is defined. The variance of the random variable Y (rounded off to one decimal place) is
GATE→2022→Engineering Mathematics→Calculus
Q19
NAT[2 Marks]
For x1>0x_{1}>0 and x2>0x_{2}>0, the value of lim⁡x1→x2x1−x2x2ln⁡(x1x2)\lim_{x_{1}\rightarrow x_{2}}\frac{x_{1}-x_{2}}{x_{2}\ln(\frac{x_{1}}{x_{2}})} is

General Biology

10 Questions
GATE→2022→General Biology→Biochemistry
Q20
MCQ[1 Mark]
The binding free energy of a ligand to its receptor protein is −11.5 kJ mol−1-11.5~\text{kJ mol}^{-1} at 300 K. What is the value of the equilibrium binding constant? Use R=8.314 J mol−1K−1R=8.314~\text{J mol}^{-1}\text{K}^{-1}
GATE→2022→General Biology→Microbiology
Q21
MCQ[1 Mark]
In binomial nomenclature, the name of a bacterial strain is written with the first letter of ____ word(s) being capitalized.
GATE→2022→General Biology→Microbiology
Q22
MCQ[1 Mark]
The type of nucleic acid present in λ\lambda-phage is
GATE→2022→General Biology→Biochemistry
Q23
MCQ[1 Mark]
Which of the following statements about reversible enzyme inhibitors are CORRECT? P. Uncompetitive inhibitors bind only to the enzyme-substrate complex Q. Non-competitive inhibitors bind only at a different site from the substrate R. Competitive inhibitors bind to the same site as the substrate
GATE→2022→General Biology→Biochemistry
Q24
MCQ[1 Mark]
Terpenoids are made of ____ units.
GATE→2022→General Biology→Immunology
Q25
MCQ[2 Marks]
Match the cell type (Column I) with its function (Column II). **Column I** P. B cells Q. Neutrophils R. T cells S. Mast cells **Column II** 1. Humoral immunity 2. Cytotoxicity 3. Histamine-associated allergy 4. Phagocytosis
GATE→2022→General Biology→Biochemistry
Q26
MCQ[2 Marks]
Which of the following are CORRECT about protein structure? P. Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atoms Q. Tertiary structure is the three-dimensional arrangement of the polypeptide backbone atoms only R. Quaternary structure refers to an assembly of multiple polypeptide subunits
GATE→2022→General Biology→Biochemistry
Q27
MSQ[2 Marks]
Which of the following is(are) COMMON feature(s) for both aerobic and anaerobic bacterial cultures?
GATE→2022→General Biology→Biochemistry
Q28
MSQ[2 Marks]
Which of the following plot(s) is (are) CORRECT for an enzyme that obeys Michaelis-Menten kinetics, assuming [S]≪Km[S]\ll K_{m}? [S] is the concentration of the substrate, KmK_{m} is the Michaelis constant, and v0v_{0} is the initial reaction velocity.
Figure for Question 28
GATE→2022→General Biology→Microbiology
Q29
MSQ[2 Marks]
Emerging viruses such as SARS-CoV2 cause epidemics. Which of the following process(es) contribute to the rise of such viruses?

Genetics, Cellular and Molecular Biology

8 Questions
GATE→2022→Genetics, Cellular and Molecular Biology→Cell Biology
Q30
MCQ[1 Mark]
Match the component of eukaryotic cells (Column I) with its respective function (Column II). **Column I** P. Lysosome Q. Peroxisome R. Glyoxysome S. Cytoskeleton **Column II** 1. Digestion of macromolecules 2. Detoxification of harmful compounds 3. Conversion of fatty acids to sugar 4. Involvement in cell motility
GATE→2022→Genetics, Cellular and Molecular Biology→Molecular Biology
Q31
MCQ[1 Mark]
In animal cells, the endogenously produced miRNAs silence gene expression by
GATE→2022→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q32
NAT[1 Mark]
Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of 12 is
GATE→2022→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q33
MCQ[2 Marks]
Which of the following conditions will contribute to the stability of a gene pool in a natural population? P. Large population Q. No net mutation R. Non-random mating S. No selection
GATE→2022→Genetics, Cellular and Molecular Biology→Cell Biology
Q34
MCQ[2 Marks]
The enzymes involved in ubiquitinylation of cell-cycle proteins are
GATE→2022→Genetics, Cellular and Molecular Biology→Molecular Biology
Q35
MCQ[2 Marks]
Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a DNA base pair mismatch. The CORRECT combination of enzymes that are involved in repairing this damage is
GATE→2022→Genetics, Cellular and Molecular Biology→Molecular Biology
Q36
MSQ[2 Marks]
Which of the following statement(s) is (are) CORRECT regarding the lac operon in E. coli when grown in the presence of glucose and lactose?
GATE→2022→Genetics, Cellular and Molecular Biology→Cell Biology
Q37
MSQ[2 Marks]
Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?

Fundamentals of Biological Engineering

19 Questions
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q38
MCQ[1 Mark]
For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are 100 and 200 W m−2K−1m^{-2}K^{-1}, respectively. The thickness and thermal conductivity of the thin-walled inner pipe are 1 cm and 10 W m−1K−1W~m^{-1}K^{-1}, respectively. The value of the overall heat transfer coefficient is W m−2K−1W~m^{-2}K^{-1}
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q39
MCQ[1 Mark]
Match the media component (Column I) with its role (Column II). **Column I** P. Sucrose Q. Zinc chloride R. Ammonium sulphate S. Silicone oil **Column II** 1. Anti-foam agent 2. Nitrogen source 3. Carbon source 4. Trace element
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q40
MCQ[1 Mark]
The overall stoichiometry for an aerobic cell growth is 3C6H12O6+2.5NH3+O2→1.5CaHbOcNd+3CO2+5H2O3C_{6}H_{12}O_{6}+2.5NH_{3}+O_{2}\rightarrow1.5C_{a}H_{b}O_{c}N_{d}+3CO_{2}+5H_{2}O What is the elemental composition formula of the biomass?
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q41
NAT[1 Mark]
A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is 0.5g biomassg substrate0.5\frac{\text{g biomass}}{\text{g substrate}}. The initial concentrations of biomass and substrate are 2 g L−12\text{ g L}^{-1} and 200 g L−1200\text{ g L}^{-1}, respectively. Assuming that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is g L−1\text{g L}^{-1}
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q42
NAT[1 Mark]
The degree of reduction of lactic acid (C3H6O3)(C_{3}H_{6}O_{3}) is
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q43
NAT[1 Mark]
The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is h−1\text{h}^{-1}
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q44
NAT[1 Mark]
A fermentation broth of density 1000 kg m−31000~\text{kg m}^{-3} and viscosity 10−3 kg m−1s−110^{-3}~\text{kg m}^{-1}\text{s}^{-1} is mixed in a 100 L fermenter using a 0.1 m diameter impeller, rotating at a speed of 2 s−12~\text{s}^{-1}. The impeller Reynolds number is
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q45
NAT[1 Mark]
For a pure species, the slope of the melting line dPdT\frac{dP}{dT} at −2∘C-2^{\circ}\text{C} is −5.0665×106 Pa K−1-5.0665\times 10^{6}~\text{Pa K}^{-1}. The difference between the molar volumes of the liquid and solid phase at −2∘C-2^{\circ}\text{C} is −4.5×10−6 m3mol−1-4.5\times 10^{-6}~\text{m}^{3}\text{mol}^{-1}. The value of the latent heat of fusion (rounded off to nearest integer) is J mol−1J~mol^{-1}
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q46
MCQ[2 Marks]
Match the stationary phase (Column I) with its corresponding chromatography technique (Column II). **Column I** P. Protein A Q. Sephadex R. Phenylsepharose S. Diethylaminoethyl cellulose **Column II** 1. Size exclusion chromatography 2. Ion-exchange chromatography 3. Affinity chromatography 4. Hydrophobic interaction chromatography
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q47
MCQ[2 Marks]
Which of the following statements are CORRECT for a controller? P. In a proportional controller, a control action is proportional to the error Q. In an integral controller, a control action is proportional to the derivative of the error R. There is no "offset" in the response of the closed-loop first-order process with a proportional controller S. There is no "offset" in the response of the closed-loop first-order process with a proportional-integral controller
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q48
MSQ[2 Marks]
Which of the following statements are CORRECT for an enzyme entrapped in a spherical particle?
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q49
NAT[2 Marks]
Figure below depicts simplified metabolic and transport reactions taking place in the production of B from A in a cell... Under pseudo-steady-state condition, the following reaction fluxes are available: r3=1r_{3}=1 and r6=1r_{6}=1. The transport flux of B, r4r_{4}, is
Figure for Question 49
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q50
NAT[2 Marks]
The amount of biomass in a reactor at the end of the batch process is 50 g. Fed-batch operation is initiated by feeding the substrate solution at a constant rate of 1 L h−11~\text{L h}^{-1}. The concentration of substrate in the feed is 50 g L−150~\text{g L}^{-1}. The maximum biomass yield (YXSM)(Y_{XS}^{M}) is 0.4 g substrateg biomass0.4~\frac{\text{g substrate}}{\text{g biomass}}? Wait, unit in text: 0.4 g substrate / g biomass or g biomass / g substrate. Assuming standard yield definition: ΔX=YX/S×Sfed×F×Δt\Delta X = Y_{X/S} \times S_{fed} \times F \times \Delta t. 50+0.4×50×1×5=150 g50 + 0.4 \times 50 \times 1 \times 5 = 150 \text{ g}.
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q51
NAT[2 Marks]
An enzyme catalyzes the conversion of substrate A into product B. The rate equation for this reaction is −rA=CA5+CA mol L−1min−1-r_{A}=\frac{C_{A}}{5+C_{A}}~\text{mol L}^{-1}\text{min}^{-1} Substrate A at an initial concentration of 10 mol L−110~\text{mol L}^{-1} enters an ideal mixed flow reactor (MFR) at a flow rate of 10 L min−110~\text{L min}^{-1}. The volume of the MFR required for 50% conversion of substrate to product is L.
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q52
NAT[2 Marks]
Liquid-phase mass transfer coefficient (kL)(k_{L}) is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is measured. The bulk concentration of O2O_{2} is 10−4 mol L−110^{-4}~\text{mol L}^{-1}. Solubility of O2O_{2} in water at 25∘C25^{\circ}\text{C} is 10−3 mol L−110^{-3}~\text{mol L}^{-1}. If the oxygen consumption rate is 9×10−4 mol L−1s−19\times10^{-4}~\text{mol L}^{-1}\text{s}^{-1} and interfacial area is 100 m2/m3100~\text{m}^{2}/\text{m}^{3}, the value of kLk_{L} is cm s−1\text{cm s}^{-1}.
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q53
NAT[2 Marks]
Consider a piston-cylinder assembly... The cylinder contains 1 mole of an ideal gas at 300 K and the piston is held initially at the position z1z_{1} using a stopper. After the stopper is removed, the piston suddenly rises against atmospheric pressure (1.013×105 Pa)(1.013\times 10^{5}~\text{Pa}) to the new position z2z_{2} where it is held by another stopper. The heat capacity (Cv)(C_{v}) of the gas is 12.5 J mol−1K−112.5~\text{J mol}^{-1}\text{K}^{-1}. The cross-sectional area of the cylinder is 10−3 m210^{-3}~\text{m}^{2}. If z2−z1=1z_{2}-z_{1}=1 m, the final temperature of the gas (rounded off to nearest integer) is K.
Figure for Question 53
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q54
NAT[2 Marks]
Consider the growth of S. cerevisiae under aerobic condition in a bioreactor and the specific growth rate of yeast is 0.5 h−10.5~\text{h}^{-1}. The overall reaction of the process is 2C6H12O6+0.2NH3+10.35O2→CH1.8O0.5N0.2+0.2C2H6O+10.6CO2+10.8H2O2C_{6}H_{12}O_{6}+0.2NH_{3}+10.35O_{2}\rightarrow CH_{1.8}O_{0.5}N_{0.2}+0.2C_{2}H_{6}O+10.6CO_{2}+10.8H_{2}O The heat of combustion values for different compounds are tabulated. The specific rate of heat production (rounded off to nearest integer) is kJ mol−1h−1\text{kJ mol}^{-1}\text{h}^{-1} (per mole of substrate or biomass basis as per standard stoichiometric enthalpy balance).
GATE→2022→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q55
NAT[2 Marks]
A pilot sterilization was carried out in a vessel containing 100 m3100~\text{m}^{3} medium with an initial spore concentration of 10810^{8} spores/ml. The accepted level of contamination after sterilization is 1 spore in the entire vessel. The specific death rate constant for the spore is 2 min−12~\text{min}^{-1} at 121∘C121^{\circ}\text{C}. Assuming no death takes place during the heating and cooling cycles, the holding time at 121∘C121^{\circ}\text{C} (rounded off to nearest integer) is min.
GATE→2022→Fundamentals of Biological Engineering→Bioreaction Engineering
Q56
NAT[2 Marks]
A bacterial strain is grown in nutrient medium at 37∘C37^{\circ}\text{C} under aerobic conditions. The medium is inoculated with 10210^{2} cells from a seed culture. If the number of cells in the culture is 10510^{5} after 10 hours of growth, the doubling time of the strain (rounded off to nearest integer) is h.

Plant, Animal and Microbial Biotechnology

3 Questions
GATE→2022→Plant, Animal and Microbial Biotechnology→Microbial Biotechnology
Q57
MCQ[1 Mark]
Match the microbial product (Column I) with its respective application (Column II). **Column I** P. Methane Q. Glycolipids R. Polyhydroxy alkanoate **Column II** 1. Biosurfactant 2. Bioplastic 3. Biofuel
GATE→2022→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q58
MCQ[2 Marks]
Match the media component used in mammalian cell culture (Column I) with its respective role (Column II). **Column I** P. Hydrocortisone Q. Fibronectin R. Epidermal growth factor S. Riboflavin **Column II** 1. Mitogen 2. Vitamin 3. Hormone 4. Cell attachment
GATE→2022→Plant, Animal and Microbial Biotechnology→Plant Biotechnology
Q59
MSQ[2 Marks]
Introduction of foreign genes into plant cells can be carried out using

Recombinant DNA Technology and Other Tools in Biotechnology

6 Questions
GATE→2022→Recombinant DNA Technology and Other Tools in Biotechnology→Computational Tools
Q60
MCQ[1 Mark]
Which of the following is NOT used for generating an optimal alignment of two nucleotide sequences?
GATE→2022→Recombinant DNA Technology and Other Tools in Biotechnology→Recombinant DNA Technology
Q61
MCQ[1 Mark]
The recognition sequences of four Type-II restriction enzymes (RE) are given below. The symbol (^) indicates the cleavage site. Identify the RE that generates sticky ends.
GATE→2022→Recombinant DNA Technology and Other Tools in Biotechnology→Molecular Tools
Q62
MCQ[1 Mark]
Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific restriction enzymes. Which of the following technique is used to identify such variations?
GATE→2022→Recombinant DNA Technology and Other Tools in Biotechnology→Computational Tools
Q63
MCQ[2 Marks]
The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is CORRECT?
GATE→2022→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q64
MCQ[2 Marks]
Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food? P. Infrared Q. Circular dichroism R. Nuclear magnetic resonance S. UV-Visible
GATE→2022→Recombinant DNA Technology and Other Tools in Biotechnology→Recombinant DNA Technology
Q65
NAT[2 Marks]
A circular plasmid has three different but unique restriction sites for enzymes 'a', 'b' and 'c.' When enzymes 'a' and 'b' are used together, two fragments of equal size are generated. Enzyme 'c' creates fragments of equal size only from one of the fragments generated by those cleaved by 'a' and 'b'. The plasmid is treated with a mixture of 'a', 'b' and 'c' and analysed by agarose gel electrophoresis. The number of bands observed in the gel is