GATE BT 2025 Question Paper & Solutions

Verbal Aptitude

Is there any good show _______ television tonight? Select the most appropriate option to complete the above sentence.

Verbal Aptitude

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.

Quantitative & Analytical Aptitude

The sum of the following infinite series is: 1 1! + 1 2! + 1 3! + 1 4! + 1 5! + ⋯

Quantitative & Analytical Aptitude

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?

Quantitative & Analytical Aptitude

The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV? (A) (B) (C) (D) I II III IV ?

Quantitative & Analytical Aptitude

"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: they do not know why they do it; neither do I. It ought to be enough, surely, to drive the great broad ways which commerce needs and which are the life -channels of a modern city, without destroying all history and all the humanity in between: the islands of the past." (From Hilaire Belloc's "The Crooked Streets") Based only on the information provided in the above passage, which one of the following statements is true?

Quantitative & Analytical Aptitude

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?

Quantitative & Analytical Aptitude

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? (A) (B) (C) (D)

Quantitative & Analytical Aptitude

A circle with center at (x, y) = (0.5, 0) and radius = 0.5 intersects with another circle with center at (x, y) = (1, 1) and radius = 1 at two points. One of the points of intersection (x, y) is:

Quantitative & Analytical Aptitude

An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of 2𝜋 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? Note: The figures shown are representative. (A) (B) (C) (D)

Biochemistry, Microbiology & Molecular Biology

Koch's postulate was established by Robert Koch while working on a disease caused by

Biochemistry, Microbiology & Molecular Biology

Corynebacterium diphtheriae causes diphtheria in humans, only when this bacterium is infected by

Bioprocess Engineering

Let y(t) be a bacterial population whose growth is given by dy dt = 𝜆(y + 2) where 𝜆 is the growth rate constant. If y(0) = 1 and y(1) = 4, then the value of 𝜆 is

Biochemistry, Microbiology & Molecular Biology

The minimum value of the function f(x) = x + 4 x for x > 0 is

Biochemistry, Microbiology & Molecular Biology

The diversity in T-cell receptors is generated by

Biochemistry, Microbiology & Molecular Biology

Which one of the following is true for piRNAs?

Biochemistry, Microbiology & Molecular Biology

Which one of the following coenzymes is utilised by alanine racemase for the conversion of L-Alanine to D-Alanine?

Biochemistry, Microbiology & Molecular Biology

Correctly match the following Monosaccharides with their respective Epimers. Monosaccharide Epimer P. D-mannose 1. C-3 epimer of D-glucose Q. D-allose 2. C-4 epimer of D-glucose R. D-galactose 3. C-4 epimer of D-mannose S. D-talose 4. C-2 epimer of D-glucose 5. C-5 epimer of D-glucose

Biochemistry, Microbiology & Molecular Biology

Correctly match the following Product classes with their representative Products. Product class Product P. Biofuel 1. Cellulase Q. Bioplastic 2. Cephalosporin R. Industrial enzyme 3. Butanol S. Antibiotic 4. Poly-lactic acid 5. Rituximab

Biochemistry, Microbiology & Molecular Biology

Which one of the following hosts is used in mammalian cell culture for the production of glycosylated recombinant therapeutic proteins?

Biochemistry, Microbiology & Molecular Biology

Which of the following features is/are used to distinguish Archaea from Bacteria?

Biochemistry, Microbiology & Molecular Biology

Which of the following enzymes is/are involved in the biogenesis of miRNA?

Biochemistry, Microbiology & Molecular Biology

Which of the following separation processes is/are based on molecular size?

Biochemistry, Microbiology & Molecular Biology

Which of the following show(s) optical activity at 100 mM concentration in water?

Biochemistry, Microbiology & Molecular Biology

Which of the following fluids exhibit(s) non-Newtonian behaviour at 25 C?

Biochemistry, Microbiology & Molecular Biology

Which of the following compounds have the same degree of reduction per carbon-mole?

Biochemistry, Microbiology & Molecular Biology

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?

Bioprocess Engineering

If the doubling time of a bacterial population is 3 hours, then its average specific growth rate during this period is _____ h-1. (Round off to two decimal places)

Biochemistry, Microbiology & Molecular Biology

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) is given as 12.5 J mol-1 K-1 and gas constant is 8.314 J mol-1 K-1, the amount of heat transferred to the system will be ______ J. (Round off to the nearest integer)

Engineering Mathematics

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)

Biochemistry, Microbiology & Molecular Biology

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)

Biochemistry, Microbiology & Molecular Biology

Within the Michaelis-Menten framework, the ratio of v0/Vmax when [S] = 20 × Km is ______. (Round off to two decimal places)

Biochemistry, Microbiology & Molecular Biology

Consider a nonlinear algebraic equation, ex - 2 = 0. Using the Newton-Raphson method, with the initial guess of x0 = 1, the approximated value of the root of the equation after one iteration is________. (Round off to two decimal places)

Biochemistry, Microbiology & Molecular Biology

The value of k, for which the linear equations 2x + 3y = 6 and 4x + 6y = 3k have at least one solution, is _____________. (Answer in integer)

Engineering Mathematics

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)

Biochemistry, Microbiology & Molecular Biology

Correctly match the Microorganisms with their respective Nutrition and energy requirement. Microorganisms Nutrition and energy requirement P. Photolithoautotrophs 1. Use organic compounds as a source of energy, hydrogen, electron and carbon Q. Chemoorganoheterotrophs 2. Use light energy and use CO2 as their carbon source R. Chemolithoautotrophs 3. Use light energy and use organic compounds as electron donor and carbon source S. Photoorganoheterotrophs 4. Oxidise reduced-inorganic molecules as energy and electron source but derive carbon from organic sources

Biochemistry, Microbiology & Molecular Biology

Correctly match the Inhibitor with its respective Function in mitochondrial respiration. Inhibitor Function P. FCCP 1. Inhibits cytochrome c oxidase Q. Cyanide 2. Makes the membrane permeable to protons R. Oligomycin A 3. Blocks mitochondrial uptake of succinate S. Butyl malonate 4. Inhibits ATP synthase

Biochemistry, Microbiology & Molecular Biology

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?

Biochemistry, Microbiology & Molecular Biology

Correctly match the type of Hypersensitivity reaction with its respective Example. Hypersensitivity reaction Example P. Type I 1. Tuberculin reaction Q. Type II 2. Arthus reaction R. Type III 3. Chronic urticaria S. Type IV 4. Systemic anaphylaxis

Biochemistry, Microbiology & Molecular Biology

Correctly match the Enzyme with its respective Function. Enzyme Function P. Gyrase 1. Removes a damaged base by cleaving the bond between sugar and base Q. Deadenylase 2. Provides a swivel allowing one DNA strand to rotate around the other R. Glycosylase 3. Catalyses bond formation between 3′-OH and 5′-phosphate end of nucleotides in duplex DNA S. DNA ligase 4. Is an exoribonuclease that removes the poly(A) tail

Biochemistry, Microbiology & Molecular Biology

Correctly match the Coenzyme with its respective involvement in a specific Reaction type. Coenzyme Reaction type P. Thiamine pyrophosphate 1. Acyl group transfer Q. Tetrahydrofolate 2. Transfer of one carbon group R. Flavin adenine dinucleotide 3. Transfer of methyl group S. 5′-Deoxyadenosyl cobalamin 4. Oxidation-reduction 5. Aldehyde transfer

Biochemistry, Microbiology & Molecular Biology

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)

Biochemistry, Microbiology & Molecular Biology

The output y(t) of a first-order process is governed by the following differential equation 𝜏p dy dt + y = Kpf(t) where 𝜏p is a non-zero time constant, Kp is the gain and f(t) is the input with f(0) = 0. Assume y(0) = 0. The transfer function for this process is (consider s as the independent variable in the Laplace domain)

Bioprocess Engineering

For a specific bioreactor configuration, the power requirement for a Rushton-turbine impeller agitating an unaerated Newtonian fluid in the turbulent regime will be

Biochemistry, Microbiology & Molecular Biology

Let m and n be fixed real numbers. If the function y(t) = C1et + C2e-t is a solution of d2y dt2 + m dy dt + ny = 0 for any constants C1 and C2, then m + n is equal to

Biochemistry, Microbiology & Molecular Biology

If the function f(x) = {sin 2x , for x > 0, a + bx, for x ≤ 0, where a and b are constants, is differentiable at x = 0, then a + b is equal to

Biochemistry, Microbiology & Molecular Biology

Correctly match the following Bioinformatic tool/Database with its respective Utility. Bioinformatic tool/Database Utility P. BLAST 1. Database for 3D protein structures Q. Bowtie 2. Tool to identify similarity of a query sequence to existing sequences available in databanks R. AlphaFold 3. Tool to align short read DNA sequences obtained from Next-generation sequencing to a reference genome S. PDB 4. AI tool to predict protein structures

Biochemistry, Microbiology & Molecular Biology

Correctly match the herbicide with its mode of development of resistance in plants. Herbicide Mode of development of resistance P. Imidazolinones 1. Transformation of bacterial nitrilase gene Q. Bromoxynil 2. Transformation of resistant version of acetolactate synthetase R. Glufosinate 3. Transformation of tfdA gene from Alcaligenes, which encodes a dioxygenase 4. Transformation of bar gene from Streptomyces hygroscopicus which encodes phosphinothricin acetyltransferase

Biochemistry, Microbiology & Molecular Biology

Which of the following statements is/are true regarding the effect of the concentration of metabolic intermediates on glycolysis in erythrocytes?

Biochemistry, Microbiology & Molecular Biology

Which of the following statements about initiation of DNA replication in eukaryotes is/are true?

Biochemistry, Microbiology & Molecular Biology

Which of the following proteins is/are involved in intraflagellar transport?

Biochemistry, Microbiology & Molecular Biology

Which of the following statements is/are true about telomerase?

Biochemistry, Microbiology & Molecular Biology

The blood group of the mother is A+ and that of the father is AB+. Which of the following statements is/are correct?

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

Which of the following methods is/are used for identifying histone modifications?

Biochemistry, Microbiology & Molecular Biology

Which of the following amino acids contain(s) two chiral carbons?

Biochemistry, Microbiology & Molecular Biology

A binary mixture of benzene and toluene under vapour-liquid equilibrium at 80 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)

Bioprocess Engineering

In a fermentation process, each mole of glucose is converted to biomass (CH1.8O0.5N0.2), with a biomass yield coefficient of 0.4 C-mol/C-mol, according to the unbalanced equation given below. C6H12O6 + NH3 + O2 → CH1.8O0.5N0.2 + CO2 + H2O The moles of oxygen consumption per mole of glucose consumed during fermentation is _________. (Round off to two decimal places)

Biochemistry, Microbiology & Molecular Biology

Let a0 = 0 and define an = 1 2 (1 + an-1) for all positive integers n ≥ 1. The least value of n for which |1 - an| < 1 210 is ______. (Answer in integer)

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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 C and leaves the exchanger at 40 C. Cooling water, flowing counter-currently to the medium, enters the annulus of the exchanger at 15 C and leaves the exchanger at 45 C. The overall heat transfer coefficient is 1350 W m-2 C-1. The rate of heat transfer per unit area will be _______ W/m2. (Round off to the nearest integer)

Bioprocess Engineering

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 bacterial growth follows Monod kinetics at a maximum specific growth rate of 0.6 h-1 with a Monod constant of 0.5 g/L and a biomass yield coefficient of 0.4 g/g. The exit biomass concentration is _______ g/L. (Round off to one decimal place)

Engineering Mathematics

Let A = ( 1 0 1 0 k 0 3 0 -1 ). If the eigenvalues of A are -2, 1, and 2, then the value of k is ______________. (Answer in integer)

Biochemistry, Microbiology & Molecular Biology

An NMR spectrometer operating at proton resonance frequency (𝜈) of 1 GHz will have a magnetic field strength of _________ Tesla (T). The gyromagnetic ratio for proton, γ = 2.675 × 108 T-1 s-1 (Round off to one decimal place)

Biochemistry, Microbiology & Molecular Biology

For the coupled reactions given below Glucose 6-phosphate + H2O → Glucose + Pi (Reaction 1) ATP + Glucose → ADP + Glucose 6-phosphate (Reaction 2) the standard free energy change of ATP hydrolysis at 25 °C is ____ kJ/mol. The equilibrium constants for Reaction 1 and Reaction 2 are 360 and 800, respectively; Gas constant R = 8.314 J mol-1 K-1. (Round off to two decimal places)