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General Aptitude

10 Questions
GATE→2025→General Aptitude→Verbal Ability
Q1
MCQ[1 Mark]
Is there any good show ____ television tonight? Select the most appropriate option to complete the above sentence.
GATE→2025→General Aptitude→Verbal Ability
Q2
MCQ[1 Mark]
As the police officer was found guilty of embezzlement, he was dismissed ____ from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.
GATE→2025→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
The sum of the following infinite series is: 11!+12!+13!+14!+15!+⋅⋅⋅\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdot\cdot\cdot
GATE→2025→General Aptitude→Quantitative Aptitude
Q4
MCQ[1 Mark]
A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
GATE→2025→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
Figure for Question 5
GATE→2025→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
"Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns..." Based only on the information provided in the above passage, which one of the following statements is true?
GATE→2025→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
GATE→2025→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
Figure for Question 8
GATE→2025→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
A circle with center at (x,y)=(0.5,0)(x,y)=(0.5,0) and radius =0.5=0.5 intersects with another circle with center at (x,y)=(1,1)(x,y)=(1,1) and radius =1=1 at two points. One of the points of intersection (x, y) is:
GATE→2025→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of 2πn\frac{2\pi}{n}, is identical to the original. Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
Figure for Question 10

Engineering Mathematics

9 Questions
GATE→2025→Engineering Mathematics→Differential Equations
Q11
MCQ[1 Mark]
Let y(t)y(t) be a bacterial population whose growth is given by dydt=λ(y+2)\frac{dy}{dt}=\lambda(y+2) where λ\lambda is the growth rate constant. If y(0)=1y(0)=1 and y(1)=4y(1)=4, then the value of λ\lambda is
GATE→2025→Engineering Mathematics→Calculus
Q12
MCQ[1 Mark]
The minimum value of the function f(x)=x+4xf(x)=x+\frac{4}{x} for x>0x>0 is
GATE→2025→Engineering Mathematics→Numerical Methods
Q13
NAT[1 Mark]
Consider a nonlinear algebraic equation, ex−2=0e^{x}-2=0. Using the Newton-Raphson method, with the initial guess of x0=1x_{0}=1 the approximated value of the root of the equation after one iteration is (Round off to two decimal places)
GATE→2025→Engineering Mathematics→Linear Algebra
Q14
NAT[1 Mark]
The value of k, for which the linear equations 2x+3y=62x+3y=6 and 4x+6y=3k4x+6y=3k have at least one solution, is (Answer in integer)
GATE→2025→Engineering Mathematics→Probability and Statistics
Q15
NAT[1 Mark]
Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the numbers on the top side of the dice is (Round off to two decimal places)
GATE→2025→Engineering Mathematics→Differential Equations
Q16
MCQ[2 Marks]
Let m and n be fixed real numbers. If the function y(t)=C1et+C2e−ty(t)=C_{1}e^{t}+C_{2}e^{-t} is a solution of d2ydt2+mdydt+ny=0\frac{d^{2}y}{dt^{2}}+m\frac{dy}{dt}+ny=0 for any constants C1C_{1} and C2C_{2}, then m+nm+n is equal to
GATE→2025→Engineering Mathematics→Calculus
Q17
MCQ[2 Marks]
If the function f(x)={sin⁡2x,for x>0a+bx,for x≤0f(x)=\begin{cases} \sin 2x, & \text{for } x>0 \\ a+bx, & \text{for } x\le0 \end{cases} where a and b are constants, is differentiable at x=0x=0, then a+ba+b is equal to
GATE→2025→Engineering Mathematics→Numerical Methods
Q18
NAT[2 Marks]
Let a0=0a_{0}=0 and define an=12(1+an−1)a_{n}=\frac{1}{2}(1+a_{n-1}) for all positive integers n≥1n\ge1. The least value of n for which ∣1−an∣<1210|1-a_{n}|<\frac{1}{2^{10}} is (Answer in integer)
GATE→2025→Engineering Mathematics→Linear Algebra
Q19
NAT[2 Marks]
Let A=(1010k030−1).A=\begin{pmatrix} 1 & 0 & 1 \\ 0 & k & 0 \\ 3 & 0 & -1 \end{pmatrix}. If the eigenvalues of A are -2, 1, and 2, then the value of k is (Answer in integer)

General Biology

15 Questions
GATE→2025→General Biology→Microbiology
Q20
MCQ[1 Mark]
Koch's postulate was established by Robert Koch while working on a disease caused by
GATE→2025→General Biology→Microbiology
Q21
MCQ[1 Mark]
Corynebacterium diphtheriae causes diphtheria in humans, only when this bacterium is infected by
GATE→2025→General Biology→Immunology
Q22
MCQ[1 Mark]
The diversity in T-cell receptors is generated by
GATE→2025→General Biology→Biochemistry
Q23
MCQ[1 Mark]
Which one of the following coenzymes is utilised by alanine racemase for the conversion of L-Alanine to D-Alanine?
GATE→2025→General Biology→Biochemistry
Q24
MCQ[1 Mark]
Correctly match the following Monosaccharides with their respective Epimers. **Monosaccharide** P. D-mannose Q. D-allose R. D-galactose S. D-talose **Epimer** 1. C-3 epimer of D-glucose 2. C-4 epimer of D-glucose 3. C-4 epimer of D-mannose 4. C-2 epimer of D-glucose 5. C-5 epimer of D-glucose
GATE→2025→General Biology→Microbiology
Q25
MSQ[1 Mark]
Which of the following features is/are used to distinguish Archaea from Bacteria?
GATE→2025→General Biology→Biochemistry
Q26
NAT[1 Mark]
Within the Michaelis-Menten framework, the ratio of v0/Vmaxv_{0}/V_{max} when [S]=20×Km[S]=20\times K_{m} is (Round off to two decimal places)
GATE→2025→General Biology→Microbiology
Q27
MCQ[2 Marks]
Correctly match the Microorganisms with their respective Nutrition and energy requirement. **Microorganisms** P. Photolithoautotrophs Q. Chemoorganoheterotrophs R. Chemolithoautotrophs S. Photoorganoheterotrophs **Nutrition and energy requirement** 1. Use organic compounds as a source of energy, hydrogen, electron and carbon 2. Use light energy and use CO2CO_{2} as their carbon source 3. Use light energy and use organic compounds as electron donor and carbon source 4. Oxidise reduced-inorganic molecules as energy and electron source but derive carbon from organic sources
GATE→2025→General Biology→Biochemistry
Q28
MCQ[2 Marks]
Correctly match the Inhibitor with its respective Function in mitochondrial respiration. **Inhibitor** P. FCCP Q. Cyanide R. Oligomycin A S. Butyl malonate **Function** 1. Inhibits cytochrome c oxidase 2. Makes the membrane permeable to protons 3. Blocks mitochondrial uptake of succinate 4. Inhibits ATP synthase
GATE→2025→General Biology→Biochemistry
Q29
MCQ[2 Marks]
An octapeptide composed of these L-amino acids - Lys, Thr, Ser, Met, Arg, Trp, Tyr, Glu - was subjected to analyses with the following outcomes: P. The N-terminal sequencing analysis by Sanger's method yielded 'Ser' at the N-terminus. Q. Chymotrypsin treatment gave a pentapeptide, a 'Tyr' containing dipeptide and a free 'Glu'. R. Cyanogen bromide treatment gave two tetrapeptides. S. Trypsin treatment gave two tripeptides and a dipeptide. Which one of the following is the correct octapeptide sequence?
GATE→2025→General Biology→Immunology
Q30
MCQ[2 Marks]
Correctly match the type of Hypersensitivity reaction with its respective Example. **Hypersensitivity reaction** P. Type I Q. Type II R. Type III S. Type IV **Example** 1. Tuberculin reaction 2. Arthus reaction 3. Chronic urticaria 4. Systemic anaphylaxis
GATE→2025→General Biology→Biochemistry
Q31
MCQ[2 Marks]
Correctly match the Coenzyme with its respective involvement in a specific Reaction type. **Coenzyme** P. Thiamine pyrophosphate Q. Tetrahydrofolate R. Flavin adenine dinucleotide S. 5'-Deoxyadenosyl cobalamin **Reaction type** 1. Acyl group transfer 2. Transfer of one carbon group 3. Transfer of methyl group 4. Oxidation-reduction 5. Aldehyde transfer
GATE→2025→General Biology→Biochemistry
Q32
MSQ[2 Marks]
Which of the following statement(s) is/are true regarding the effect of the concentration of metabolic intermediates on glycolysis in erythrocytes?
GATE→2025→General Biology→Biochemistry
Q33
MSQ[2 Marks]
Which of the following amino acids contain(s) two chiral carbons?
GATE→2025→General Biology→Biochemistry
Q34
NAT[2 Marks]
For the coupled reactions given below Glucose 6-phosphate + H2O →\rightarrow Glucose + Pi (Reaction 1) ATP + Glucose →\rightarrow ADP + Glucose 6-phosphate (Reaction 2) the standard free energy change of ATP hydrolysis at 25∘C25^{\circ}\text{C} is kJ/mol\text{kJ/mol}. The equilibrium constants for Reaction 1 and Reaction 2 are 360 and 800, respectively; Gas constant R=8.314 J mol−1K−1R=8.314~\text{J mol}^{-1}\text{K}^{-1}. (Round off to two decimal places)

Genetics, Cellular and Molecular Biology

9 Questions
GATE→2025→Genetics, Cellular and Molecular Biology→Molecular Biology
Q35
MCQ[1 Mark]
Which one of the following is true for piRNAs?
GATE→2025→Genetics, Cellular and Molecular Biology→Molecular Biology
Q36
MSQ[1 Mark]
Which of the following enzymes is/are involved in the biogenesis of miRNA?
GATE→2025→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q37
NAT[1 Mark]
The allele associated with albinism in humans is recessive (c). The probability that an albino male (cc) and a carrier female (Cc) will have an offspring with normal skin pigmentation is (Round off to one decimal place)
GATE→2025→Genetics, Cellular and Molecular Biology→Molecular Biology
Q38
NAT[1 Mark]
The contour length of a B-DNA molecule that encodes a bacterial protein of 33 kDa is nm. Consider the average molecular weight of an amino acid as 110 Da and helix rise per base pair for B-DNA as 0.34 nm. (Round off to the nearest integer)
GATE→2025→Genetics, Cellular and Molecular Biology→Molecular Biology
Q39
MCQ[2 Marks]
Correctly match the Enzyme with its respective Function. **Enzyme** P. Gyrase Q. Deadenylase R. Glycosylase S. DNA ligase **Function** 1. Removes a damaged base by cleaving the bond between sugar and base 2. Provides a swivel allowing one DNA strand to rotate around the other 3. Catalyses bond formation between 3'-OH and 5'-phosphate end of nucleotides in duplex DNA 4. Is an exoribonuclease that removes the poly(A) tail
GATE→2025→Genetics, Cellular and Molecular Biology→Molecular Biology
Q40
MSQ[2 Marks]
Which of the following statements about initiation of DNA replication in eukaryotes is/are true?
GATE→2025→Genetics, Cellular and Molecular Biology→Cell Biology
Q41
MSQ[2 Marks]
Which of the following proteins is/are involved in intraflagellar transport?
GATE→2025→Genetics, Cellular and Molecular Biology→Molecular Biology
Q42
MSQ[2 Marks]
Which of the following statements is/are true about telomerase?
GATE→2025→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q43
MSQ[2 Marks]
The blood group of the mother is A+A^{+} and that of the father is AB+AB^{+}. Which of the following statements is/are correct?

Fundamentals of Biological Engineering

14 Questions
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q44
MSQ[1 Mark]
Which of the following separation processes is/are based on molecular size?
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q45
MSQ[1 Mark]
Which of the following fluids exhibit(s) non-Newtonian behaviour at 25∘C25^{\circ}\text{C}?
GATE→2025→Fundamentals of Biological Engineering→Bioreaction Engineering
Q46
MSQ[1 Mark]
Which of the following compounds have the same degree of reduction per carbon-mole?
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q47
MSQ[1 Mark]
A recombinant protein is secreted extracellularly in soluble form by an E. coli culture. Which of the following downstream processes is/are involved in the purification of the extracellular secreted protein?
GATE→2025→Fundamentals of Biological Engineering→Bioreaction Engineering
Q48
NAT[1 Mark]
If the doubling time of a bacterial population is 3 hours, then its average specific growth rate during this period is h−1\text{h}^{-1}. (Round off to two decimal places)
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q49
NAT[1 Mark]
For a mechanically reversible isobaric process taking place in a closed system involving 5 moles of an ideal gas, the temperature increases from an initial value of 300 K to a final value of 450 K. If the specific heat capacity at constant volume (Cv)(C_{v}) is given as 12.5 J mol−1K−112.5~\text{J mol}^{-1}\text{K}^{-1} and gas constant is 8.314 J mol−1K−18.314~\text{J mol}^{-1}\text{K}^{-1}, the amount of heat transferred to the system will be J. (Round off to the nearest integer)
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q50
MCQ[2 Marks]
A thermometer measuring body temperature follows a first-order response with a time constant of 40 seconds. The instrument will reach 95% of its steady-state output at seconds. (Round off to the nearest integer)
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q51
MCQ[2 Marks]
The output y(t)y(t) of a first-order process is governed by the following differential equation τpdydt+y=Kpf(t)\tau_{p}\frac{dy}{dt}+y=K_{p}f(t) where τp\tau_{p} is a non-zero time constant, KpK_{p} is the gain and f(t)f(t) is the input with f(0)=0f(0)=0. Assume y(0)=0y(0)=0. The transfer function for this process is (consider s as the independent variable in the Laplace domain)
GATE→2025→Fundamentals of Biological Engineering→Bioreaction Engineering
Q52
MCQ[2 Marks]
For a specific bioreactor configuration, the power requirement for a Rushton-turbine impeller agitating an unaerated Newtonian fluid in the turbulent regime will be
GATE→2025→Fundamentals of Biological Engineering→Bioreaction Engineering
Q53
MSQ[2 Marks]
An enzyme immobilised in a porous spherical pellet, catalyses a strongly mass-transfer limited first-order reaction. The effectiveness factor for the immobilised enzyme reaction increases with the
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q54
NAT[2 Marks]
A binary mixture of benzene and toluene under vapour-liquid equilibrium at 80∘C80^{\circ}\text{C} follows ideal Raoult's law. At this condition, the saturation pressures of benzene and toluene are 101 kPa and 40 kPa, respectively. If the mole fraction of benzene in the liquid phase is 0.6, the corresponding mole fraction of benzene in the vapour phase will be (Round off to two decimal places)
GATE→2025→Fundamentals of Biological Engineering→Bioreaction Engineering
Q55
NAT[2 Marks]
In a fermentation process, each mole of glucose is converted to biomass (CH1.8O0.5N0.2)(CH_{1.8}O_{0.5}N_{0.2}), with a biomass yield coefficient of 0.4 C-mol/C-mol0.4\text{ C-mol/C-mol}, according to the unbalanced equation given below. C6H12O6+NH3+O2→CH1.8O0.5N0.2+CO2+H2OC_{6}H_{12}O_{6}+NH_{3}+O_{2}\rightarrow CH_{1.8}O_{0.5}N_{0.2}+CO_{2}+H_{2}O The moles of oxygen consumption per mole of glucose consumed during fermentation is (Round off to two decimal places)
GATE→2025→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q56
NAT[2 Marks]
A hot, freshly-sterilised fermentation medium is cooled in a double-pipe heat-exchanger. The medium enters the inner pipe of the exchanger at 95∘C95^{\circ}\text{C} and leaves the exchanger at 40∘C40^{\circ}\text{C}. Cooling water, flowing counter-currently to the medium, enters the annulus of the exchanger at 15∘C15^{\circ}\text{C} and leaves the exchanger at 45∘C45^{\circ}\text{C}. The overall heat transfer coefficient is 1350~\text{W m}^{-2}^{\circ}\text{C}^{-1}. The rate of heat transfer per unit area will be W/m2\text{W/m}^{2}. (Round off to the nearest integer)
GATE→2025→Fundamentals of Biological Engineering→Bioreaction Engineering
Q57
NAT[2 Marks]
A 2 L chemostat is being operated at a flow rate of 0.8 L/h0.8~\text{L/h} and sterile feed of 10 g/L10~\text{g/L} substrate. The bacterial growth follows Monod kinetics at a maximum specific growth rate of 0.6 h−10.6~\text{h}^{-1} with a Monod constant of 0.5 g/L0.5~\text{g/L} and a biomass yield coefficient of 0.4 g/g0.4~\text{g/g}. The exit biomass concentration is g/L\text{g/L} (Round off to one decimal place)

Plant, Animal and Microbial Biotechnology

3 Questions
GATE→2025→Plant, Animal and Microbial Biotechnology→Microbial Biotechnology
Q58
MCQ[1 Mark]
Correctly match the following Product classes with their representative Products. **Product class** P. Biofuel Q. Bioplastic R. Industrial enzyme S. Antibiotic **Product** 1. Cellulase 2. Cephalosporin 3. Butanol 4. Poly-lactic acid 5. Rituximab
GATE→2025→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q59
MCQ[1 Mark]
Which one of the following hosts is used in mammalian cell culture for the production of glycosylated recombinant therapeutic proteins?
GATE→2025→Plant, Animal and Microbial Biotechnology→Plant Biotechnology
Q60
MCQ[2 Marks]
Correctly match the herbicide with its mode of development of resistance in plants. **Herbicide** P. Imidazolinones Q. Bromoxynil R. Glufosinate **Mode of development of resistance** 1. Transformation of bacterial nitrilase gene 2. Transformation of resistant version of acetolactate synthetase 3. Transformation of tfdA gene from Alcaligenes, which encodes a dioxygenase 4. Transformation of bar gene from Streptomyces hygroscopicus which encodes phosphinothricin acetyltransferase

Recombinant DNA Technology and Other Tools in Biotechnology

5 Questions
GATE→2025→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q61
MSQ[1 Mark]
Which of the following show(s) optical activity at 100 mM concentration in water?
GATE→2025→Recombinant DNA Technology and Other Tools in Biotechnology→Computational Tools
Q62
MCQ[2 Marks]
Correctly match the Bioinformatic tool/Database with its respective Utility. **Bioinformatic tool/Database** P. BLAST Q. Bowtie R. AlphaFold S. PDB **Utility** 1. Database for 3D protein structures 2. Tool to identify similarity of a query sequence to existing sequences available in databanks 3. Tool to align short read DNA sequences obtained from Next-generation sequencing to a reference genome 4. AI tool to predict protein structures
GATE→2025→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q63
MSQ[2 Marks]
Which of the following methods is/are used for identifying histone modifications?
GATE→2025→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q64
NAT[2 Marks]
The percentage of light that would pass through a sample with an absorbance of 2 would be %\%. (Round off to the nearest integer)
GATE→2025→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q65
NAT[2 Marks]
An NMR spectrometer operating at proton resonance frequency (v) of 1 GHz will have a magnetic field strength of Tesla (T). The gyromagnetic ratio for proton, γ=2.675×108 T−1s−1\gamma=2.675\times 10^{8}~\text{T}^{-1}\text{s}^{-1} (Round off to one decimal place)