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 & Analytical 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 & Analytical Aptitude

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

Quantitative & Analytical 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 & Analytical 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.

Quantitative & Analytical 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 & Analytical 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

Quantitative & Analytical 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

Quantitative & Analytical Aptitude

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

Bioprocess Engineering

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

Biochemistry, Microbiology & Molecular Biology

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.

Biochemistry, Microbiology & Molecular Biology

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

Bioprocess Engineering

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

Co-translational translocation of proteins is observed in ________.

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Recombinant DNA Technology

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 ________.

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

Which one of the following is an insect cell line?

Recombinant DNA Technology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

Krebs (TCA) cycle is ________ pathway.

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

All pseudogenes DO NOT code for a ________.

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Engineering Mathematics

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

Engineering Mathematics

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 ________.

Recombinant DNA Technology

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 ________.

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Bioprocess Engineering

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).

Recombinant DNA Technology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Cellular & Applied Biotechnology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Recombinant DNA Technology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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

Cellular & Applied Biotechnology

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

Bioprocess Engineering

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

Biochemistry, Microbiology & Molecular Biology

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).

Bioprocess Engineering

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).

Bioprocess Engineering

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).

Biochemistry, Microbiology & Molecular Biology

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).

Biochemistry, Microbiology & Molecular Biology

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).

Bioprocess Engineering

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).

Biochemistry, Microbiology & Molecular Biology

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 0.2 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).

Biochemistry, Microbiology & Molecular Biology

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).

Engineering Mathematics

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 ________.

Biochemistry, Microbiology & Molecular Biology

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

Biochemistry, Microbiology & Molecular Biology

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 ________.

Biochemistry, Microbiology & Molecular Biology

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).