GATE BT 2024 Question Paper & Solutions

Verbal Aptitude

If '→' denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ________ ]. Which one of the given options is appropriate to fill the blank?

Quantitative Aptitude

If two distinct non-zero real variables x and y are such that (x + y) is proportional to (x - y) then the value of x y

Quantitative Aptitude

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

Quantitative Aptitude

The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

Quantitative Aptitude

For positive non-zero real variables p and q, if log (p2 + q2) = log p + log q + 2 log 3 , then, the value of p4+q4 p2q2 is

Verbal Aptitude

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Steve was advised to keep his head (i) before heading (ii) to bat; for, while he had a head (iii) batting, he could only do so with a cool head s (iv) his shoulders.

Analytical & Spatial Aptitude

A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is

Quantitative Aptitude

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table. Macronutrient Energy density (kcal/g) Carbohydrates 4 Proteins 4 Unsaturated fat 9 Saturated fat 9 Trans fat 9 The total fat (all three types), in grams, this person consumes is

Analytical & Spatial Aptitude

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

Analytical & Spatial Aptitude

The least number of squares to be added in the figure to make AB a line of symmetry is

Bioreactor types, scale-up

In adsorption chromatography, the adsorption of uncharged solute molecules onto a silica-based stationary phase is by ________.

Biomolecules, enzyme kinetics

The transfer function of a process is G(s) = Kp p s+1, where Kp is the gain and p is the time constant. This is a ________ process.

Biomolecules, enzyme kinetics

Which one of the following statements is correct in the context of thermodynamics?

Bioreactor types, scale-up

Which one of the following statements is correct about Reynolds Number (NRe) in a stirred tank bioreactor?

Biomolecules, enzyme kinetics

The relationship that involves the exchange of nutrients between two different species for their mutual growth is called ________.

Classical Genetics and Epistasis

Mendel's ' law of segregation' applies to the segregation of ________ during gamete formation.

Downstream processing (chromatography, filtration)

Co-translational translocation of proteins is observed in ________.

Cell structure and signaling

2-mercaptoethanol breaks the ________ covalent bond between light and heavy chains of an immunoglobulin molecule.

Cell structure and signaling

During normal embryonic development of the mice paw, elimination of cells from the inter-digital space is due to ________.

CRISPR-Cas9 gene editing

A cultured skin fibroblast cell of a goat 'P' was fused with an enucleated ovum of a goat 'Q'. The resultant activated early embryo was then transplanted into a pseudopregnant (surrogate) female goat 'R' of the same strain as 'Q'. On completion of gestation, a female goat 'S' was born. With the exception of mitochondrial DNA, 'S' is a clone of ________.

Biomolecules, enzyme kinetics

Which one of the following bacteriophages has a genome composed of single stranded circular DNA?

Recombinant DNA technology

Which one of the following is an insect cell line?

CRISPR-Cas9 gene editing

Which one of the following is the basic principle of Sanger's DNA sequencing method?

Biomolecules, enzyme kinetics

An element that is present in a nucleotide but not in a nucleoside is ________.

Bioenergetics and Metabolism

Krebs (TCA) cycle is ________ pathway.

Cell structure and signaling

If a denatured protein of human origin is injected into a rabbit, antibodies generated will recognize the ________ structure of the protein.

DNA replication, transcription, translation

All pseudogenes DO NOT code for a ________.

Linear Algebra

A value of k for which the linear equations (k - 1)x + 3y = 0 and 2x + ky = 0 have a non-zero solution is ________.

Biomolecules, enzyme kinetics

The value of the series 1+ sin x + cos2 x + sin3 x + ⋯ at x = 𝜋 4 is ________.

Differential Equations

The solution of the differential equation dy dx = y + e-x that satisfies y(0) = - 1 2 is ________.

Probability and Statistics

The six faces of a cube (die) are numbered as 1, 2, 3, 4, 5 and 6, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting an odd number as an outcome is twice that of an even number, then the probability of getting a number less than 3 is ________.

Linear Algebra

Let OR⃗⃗⃗⃗⃗ be the vector that is perpendicular to the vectors OP⃗⃗⃗⃗⃗ = 2î - 3ĵ + k̂ and OQ⃗⃗⃗⃗⃗⃗ = -2î + ĵ + k̂. If the length of the vector OR⃗⃗⃗⃗⃗ is 𝛼 √3, then 𝛼 is ________.

Media Sterilization and Stoichiometry

The degree of reduction (reductance) for oxalic acid (C2H2O4) is ________.

Microbial growth kinetics

If the rate at which E. coli divides is 0.5 h-1, then its doubling time is ________ h.

Bioreactor types, scale-up

The decimal reduction time of a microbe during sterilization at 120 C with a first order thermal death rate constant of 1 min -1 will be ________ min (rounded off to 1 decimal place).

Mass transfer in bioprocesses (kLa)

Match the disease (Column I) with its biological vector (Column II). Column I Column II P. Chagas disease 1. Tsetse flies Q. Trypanosomiasis 2. Mosquitoes R. Leishmaniasis 3. Sandflies S. Yellow Fever 4. Reduviid bugs

Cell structure and signaling

Match the industrial enzyme (Column I) with its application (Column II). Column I Column II P. Lipase 1. Maltose syrup production Q. Ficin 2. Oil degradation R. Amylase 3. Oligosaccharide/monosaccharide production S. Glucosidase 4. Meat tenderization

Recombinant DNA technology

Match the enzyme (Column I) with its corresponding function (Column II). Column I Column II P. Primase 1. RNA dependent RNA synthesis Q. Reverse transcriptase 2. DNA dependent DNA synthesis R. RNA Replicase 3. RNA dependent DNA synthesis S. DNA Polymerase III 4. DNA dependent RNA synthesis

Linear Algebra

Match the item (Column I) with its corresponding use (Column II). Column I Column II P. Glutamine 1. Detachment of adherent cells Q. Trypsin 2. Selection of transfected mammalian cell lines R. Hypoxanthine 3. Source of carbon and nitrogen in animal cell culture media S. Neomycin 4. A component of medium for selection of hybridoma in monoclonal antibody production

Calculus

Match the chemical (Column I) with its use (Column II). Column I Column II P. Diethylpyrocarbonate 1. Chelation of magnesium ion during DNA purification Q. Cesium chloride 2. Prevention of RNA degradation in aqueous environment R. Ethidium bromide 3. Separation of DNA by density gradient centrifugation S. Ethylenediaminetetraacetic acid 4. Staining of RNA in agarose gel

Mass transfer in bioprocesses (kLa)

Match the item in Column I with the corresponding technique in Column II. Column I Column II P. Blue laser 1. Electron microscopy Q. Tungsten filament 2. Fluorescence activated cell sorting R. 15N labelled protein 3. Electrophoresis S. Polyacrylamide 4. Nuclear magnetic resonance spectroscopy

DNA replication, transcription, translation

Match the genetic disorder (Column I) with its molecular basis (Column II) Column I Column II P. Sickle-cell anemia 1. Mutation in nucleotide excision repair Q. Xeroderma pigmentosum 2. Trisomy of chromosome 21 R. Tay-Sachs disease 3. Mutation in β-globin gene S. Down Syndrome 4. Mutation in hexosaminidase A gene

Biomolecules, enzyme kinetics

The evolution of wings in bats and insects is an example of ________ evolution.

Biomolecules, enzyme kinetics

Which of the following statements is/are correct about an uncompetitive inhibitor of an enzyme?

Biomolecules, enzyme kinetics

Which of the following plant-based secondary metabolites belong(s) to the class of alkaloids?

CRISPR-Cas9 gene editing

Which of the following features help(s) in distinguishing alleles using restriction fragment length polymorphism (RFLP)?

Cell structure and signaling

Which of the following is/are considered as biotic elicitor(s) in plant cell culture?

DNA replication, transcription, translation

Under which of the following conditions, a mammalian somatic cell fails to undergo mitosis during cell cycle?

Biomolecules, enzyme kinetics

Which of the following is/are synthetic auxin(s) that does/do NOT occur naturally?

Downstream processing (chromatography, filtration)

Which of the following statements regarding the below mentioned mRNA sequence is/are TRUE? 5`-UGAUGAGCCUUAACCGGGAACGAAUUUAAG-3`

DNA replication, transcription, translation

Which of the following conditions induce(s) the expression of β-galactosidase gene in the lac operon?

Bioreactor types, scale-up

Which of the following factors can affect the growth of a microbial culture in a batch cultivation process?

Bioreactor types, scale-up

Under complete cell washout condition in a chemostat with sterile feed, which of the following statements is/are correct?

Biomolecules, enzyme kinetics

Fermentation medium is cooled from 121 C to 30 C in a double pipe heat exchanger. If cold water is flowing in the counter -current direction and is heated from 10 C to 70 C, then the Log -Mean Temperature Difference (LMTD) is ________ C (rounded off to the nearest integer).

Bioreactor types, scale-up

Aspergillus niger is grown in a 10,000 L stirred batch bioreactor under aerated conditions to produce citric acid. At steady state oxygen transfer conditions, the specific oxygen uptake rate of the organism and the volumetric mass transfer coefficient are 1×10-4 g oxygen consumed g biomass s-1 and 60 min-1, respectively. If the oxygen solubility is 8×10-3 kg m-3 under the operating conditions, based only on oxygen dynamics, the maximum possible cell concentration is ________kg m-3 (Answer in integer).

Bioreactor types, scale-up

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 cp, respectively. The data relating the Power number and Impeller Reynolds number is given below: Reynolds number 1-5 5-500 > 105 Power number 70 10 5 Using the above data, the power required for the stirrer to operate at 300 rpm is ________ kW (Answer in integer).

Bioenergetics and Metabolism

The free energy change of ATP hydrolysis at 25 C is -32.2 kJ mol-1. The free energy change for hydrolysis of α-glycerophosphate to glycerol is -8.2 kJ mol-1 at 25 C. Using the above information, the free energy change for the formation of α-glycerophosphate from glycerol and ATP is ________ kJ mol-1 (Answer in integer).

Mass transfer in bioprocesses (kLa)

E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is 102. After few hours, the number of viable cells is 106. Assuming cell divides by binary fission, the number of generations that have taken place is ________ (rounded off to the nearest integer).

Bioreactor types, scale-up

A fermentor is filled with medium at a rate of 1 L min-1. A leak develops at the bottom of the fermentor when the medium in the fermentor reaches 200 L. The rate of medium leakage is 2t L min-1, where 't' is the time at which the leak begins. The volume of medium in the fermentor after 10 min of leakage is ________ L (Answer in integer).

Bioreactor types, scale-up

A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At 2 h, the culture volume is 500 L with a constant sterile inlet feed at 50 L h-1 of glucose. The culture kinetic parameters µmand KS are Q.2 h-1 and 0.1 g L-1, respectively. The substrate concentration in the reactor will be ________ g L-1 (rounded off to one decimal place).

Bioreactor types, scale-up

Consider scale-up of fungal fermentation from a 20 L model-type to 20,000 L prototype stirred tank reactor. The model-type and prototype have the same aspect ratio during scale-up. The impeller speed in the model-type is 500 rpm and the scale-up criterion is constant shear. The impeller speed in the prototype reactor will be ________ rpm (Answer in integer).

Linear Algebra

If v = ( 2 2 2 ) is an eigenvector of the matrix ( 1 2 3 1 2 3 1 2 3 ) corresponding to the non-zero eigenvalue, 𝜆, then the value of 𝜆 is ________.

Biomolecules, enzyme kinetics

The value of the limit lim x→∞ x 2 ln(1 + 2024 x ) is ________.

Differential Equations

Let y(x) = x2 ln x for x > 0, be a solution of x2 d2y dx2 + 4y = 𝛼x dy dx. Then the value of 𝛼 is ________.

Calculus

The absolute relative error in evaluating the integral ∫ x2dx 1 0 by the trapezoidal rule with the step size 0.25 is ________ % (rounded off to 2 decimal places).