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General Aptitude

10 Questions
GATE→2024→General Aptitude→Verbal Ability
Q1
MCQ[1 Mark]
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?
GATE→2024→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
If two variables x and y are such that (x+y)(x+y) is proportional to xy\frac{x}{y}, then xy\frac{x}{y}
GATE→2024→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is
GATE→2024→General Aptitude→Quantitative Aptitude
Q4
MCQ[1 Mark]
The number of coins of ₹1, ₹2, and ₹5 denominations that a person has are in the ratio 5:3:13. Of the total money in coins, the percentage of money in ₹5 coins is
GATE→2024→General Aptitude→Quantitative Aptitude
Q5
MCQ[1 Mark]
For positive non-zero real variables p and q, if log⁡(p2+q2)=log⁡ p+log⁡ q+2 log 3,\log (p^{2}+q^{2})=\log~p+\log~q+2~log~3, then, the value of p4+q4p2q2\frac{p^{4}+q^{4}}{p^{2}q^{2}} is
GATE→2024→General Aptitude→Verbal Ability
Q6
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Steve was advised to keep (i) _____ before heading to bat; for, while he had a head (ii) _____ batting, he could only do so with a cool head (iii) _____ his shoulders.
GATE→2024→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
A rectangular paper sheet of dimensions 54 cm×4 cm54\text{ cm} \times 4\text{ 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
GATE→2024→General Aptitude→Quantitative Aptitude
Q8
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. Saturated fat: 20%, Trans fat: 5%, Carbohydrates: 35%, Unsaturated fat: 20%, Proteins: 20%. Energy densities (kcal/g): Fats = 9. The total fat (all three types), in grams, this person consumes is
GATE→2024→General Aptitude→Quantitative Aptitude
Q9
MCQ[2 Marks]
A rectangular paper of 20 cm×8 cm20\text{ cm} \times 8\text{ 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
GATE→2024→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Figure for Question 10

Engineering Mathematics

9 Questions
GATE→2024→Engineering Mathematics→Linear Algebra
Q11
MCQ[1 Mark]
A value of k for which the linear equations (k−1)x+3y=0(k-1)x+3y=0 and 2x+ky=02x+ky=0 have a non-zero solution is
GATE→2024→Engineering Mathematics→Calculus
Q12
MCQ[1 Mark]
The value of the series at x=…x = \dots [Expression: 1+sin⁡ x+cos⁡2x+sin⁡3x+⋅⋅⋅1+\sin~x+\cos^{2}x+\sin^{3}x+\cdot\cdot\cdot]
GATE→2024→Engineering Mathematics→Differential Equations
Q13
MCQ[1 Mark]
The solution of the differential equation dydx=y+e−x\frac{dy}{dx}=y+e^{-x} that satisfies y(0)=−12y(0)=-\frac{1}{2} is
GATE→2024→Engineering Mathematics→Probability and Statistics
Q14
MCQ[1 Mark]
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
GATE→2024→Engineering Mathematics→Linear Algebra
Q15
MCQ[1 Mark]
Let OR⃗\vec{OR} be the vector that is perpendicular to the vectors OP⃗=2i^−3j^+k^\vec{OP}=2\hat{i}-3\hat{j}+\hat{k} and OQ⃗=−2i^+j^+k^\vec{OQ}=-2\hat{i}+\hat{j}+\hat{k}. If the length of the vector OR⃗\vec{OR} is α3\alpha\sqrt{3}, then α\alpha is
GATE→2024→Engineering Mathematics→Linear Algebra
Q16
NAT[2 Marks]
If v⃗=(222)\vec{v}=\begin{pmatrix} 2 \\ 2 \\ 2 \end{pmatrix} is an eigenvector of the matrix (123123123)\begin{pmatrix} 1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3 \end{pmatrix} corresponding to the non-zero eigenvalue λ\lambda, then the value of λ\lambda is
GATE→2024→Engineering Mathematics→Calculus
Q17
NAT[2 Marks]
The value of the limit lim⁡x→∞x2ln⁡(1+2024x)\lim_{x\rightarrow\infty}\frac{x}{2}\ln\left(1+\frac{2024}{x}\right) is
GATE→2024→Engineering Mathematics→Differential Equations
Q18
NAT[2 Marks]
Let y(x)=x2ln⁡ xy(x)=x^{2}\ln~x for x>0x>0, be a solution of x2d2ydx2+4y=αxdydxx^{2}\frac{d^{2}y}{dx^{2}}+4y=\alpha x\frac{dy}{dx}. Then the value of α\alpha is
GATE→2024→Engineering Mathematics→Numerical Methods
Q19
NAT[2 Marks]
The absolute relative error in evaluating the integral ∫01x2dx\int_{0}^{1}x^{2}dx by the trapezoidal rule with the step size 0.25 is %\% (rounded off to 2 decimal places).

General Biology

6 Questions
GATE→2024→General Biology→Biochemistry
Q20
MCQ[1 Mark]
2-mercaptoethanol breaks the ____ covalent bond between light and heavy chains of an immunoglobulin molecule.
GATE→2024→General Biology→Biochemistry
Q21
MCQ[1 Mark]
An element that is present in a nucleotide but not in a nucleoside is
GATE→2024→General Biology→Biochemistry
Q22
MCQ[1 Mark]
Krebs (TCA) cycle is ____ pathway.
GATE→2024→General Biology→Microbiology
Q23
MCQ[2 Marks]
Match the disease (Column I) with its biological vector (Column II). **Column I** P. Chagas disease Q. Trypanosomiasis R. Leishmaniasis S. Yellow Fever **Column II** 1. Tsetse flies 2. Mosquitoes 3. Sandflies 4. Reduviid bugs
GATE→2024→General Biology→Biochemistry
Q24
MSQ[2 Marks]
Which of the following statements is/are correct about an uncompetitive inhibitor of an enzyme?
GATE→2024→General Biology→Biochemistry
Q25
NAT[2 Marks]
The free energy change of ATP hydrolysis at 25∘C25^{\circ}\text{C} is −32.2 kJ mol−1-32.2\text{ kJ mol}^{-1}. The free energy change for hydrolysis of α\alpha-glycerophosphate to glycerol is −8.2 kJ mol−1-8.2\text{ kJ mol}^{-1} at 25∘C25^{\circ}\text{C}. Using the above information, the free energy change for the formation of α\alpha-glycerophosphate from glycerol and ATP is kJ mol−1\text{kJ mol}^{-1} (Answer in integer).

Genetics, Cellular and Molecular Biology

10 Questions
GATE→2024→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q26
MCQ[1 Mark]
Mendel's 'law of segregation' is observed in ____ during gamete formation.
GATE→2024→Genetics, Cellular and Molecular Biology→Cell Biology
Q27
MCQ[1 Mark]
Post-translational modification of proteins is observed in
GATE→2024→Genetics, Cellular and Molecular Biology→Cell Biology
Q28
MCQ[1 Mark]
During normal embryonic development of the mice paw, elimination of cells from the inter-digital space is due to
GATE→2024→Genetics, Cellular and Molecular Biology→Molecular Biology
Q29
MCQ[1 Mark]
If a denatured protein of human origin is renatured, ____ structure will recognize the original function
GATE→2024→Genetics, Cellular and Molecular Biology→Molecular Biology
Q30
MCQ[2 Marks]
Match the enzyme (Column I) with its corresponding function (Column II). **Column I** P. Primase Q. Reverse transcriptase R. RNA Replicase S. DNA Polymerase III **Column II** 1. RNA dependent RNA synthesis 2. DNA dependent DNA synthesis 3. RNA dependent DNA synthesis 4. DNA dependent RNA synthesis
GATE→2024→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q31
MCQ[2 Marks]
Match the genetic disorder (Column I) with its molecular basis (Column II). **Column I** P. Sickle-cell anemia Q. Xeroderma pigmentosum R. Tay-Sachs disease S. Down Syndrome **Column II** 1. Mutation in nucleotide excision repair 2. Trisomy of chromosome 21 3. Mutation in β\beta-globin gene 4. Mutation in hexosaminidase A gene
GATE→2024→Genetics, Cellular and Molecular Biology→Genetics and Evolutionary Biology
Q32
MCQ[2 Marks]
____ is an example of neutral evolution.
GATE→2024→Genetics, Cellular and Molecular Biology→Cell Biology
Q33
MSQ[2 Marks]
Under which of the following conditions, a mammalian somatic cell fails to undergo mitosis during cell cycle?
GATE→2024→Genetics, Cellular and Molecular Biology→Molecular Biology
Q34
MSQ[2 Marks]
Which of the following statements regarding the below mentioned mRNA sequence is/are TRUE? 5'-UGAUGAGCCUUAACCGGGAACGAAUUUAAG-3'
GATE→2024→Genetics, Cellular and Molecular Biology→Molecular Biology
Q35
MSQ[2 Marks]
Which of the following conditions induce(s) the expression of β\beta-galactosidase gene in the lac operon?

Fundamentals of Biological Engineering

16 Questions
GATE→2024→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q36
MCQ[1 Mark]
In adsorption chromatography, the adsorption of uncharged solute molecules onto a silica-based stationary phase is by
GATE→2024→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q37
MCQ[1 Mark]
The transfer function of a process is G(s)=Kpτps+1,G(s)=\frac{K_{p}}{\tau_{p}s+1}, where KpK_{p} is the gain and τp\tau_{p} is the time constant. This is a
GATE→2024→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q38
MCQ[1 Mark]
Which one of the following statements is correct in the context of thermodynamics?
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q39
MCQ[1 Mark]
Which one of the following statements is correct about Reynolds Number (NReN_{Re}) in a stirred tank bioreactor?
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q40
NAT[1 Mark]
The degree of reduction (reductance) for oxalic acid (C2H2O4)(C_{2}H_{2}O_{4}) is
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q41
NAT[1 Mark]
If the rate at which E. coli divides is 0.5 h−10.5\text{ h}^{-1}, then its doubling time is h.
GATE→2024→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q42
NAT[1 Mark]
The decimal reduction time of a microbe during sterilization at 120∘C120^{\circ}\text{C} with a first order thermal death rate constant of 1 min−11\text{ min}^{-1} will be min (rounded off to 1 decimal place).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q43
MSQ[2 Marks]
Which of the following factors can affect the growth of a microbial culture in a batch cultivation process?
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q44
MSQ[2 Marks]
Under complete cell washout condition of a chemostat with sterile feed, which of the following statements is/are correct?
GATE→2024→Fundamentals of Biological Engineering→Upstream and Downstream Processing
Q45
NAT[2 Marks]
Fermentation medium is cooled from 121∘C121^{\circ}\text{C} to 30∘C30^{\circ}\text{C} in a double pipe heat exchanger. If cold water is flowing in the counter-current direction and is heated from 10∘C10^{\circ}\text{C} to 70∘C70^{\circ}\text{C}, then the Log-Mean Temperature Difference (LMTD) is ∘C^{\circ}\text{C} (rounded off to the nearest integer).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q46
NAT[2 Marks]
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 1×10−41\times 10^{-4} g oxygen consumed s−1^{-1} (per g biomass) and 60 min−160\text{ min}^{-1}, respectively. If the oxygen solubility is 8×10−3 kg m−38\times 10^{-3}\text{ kg m}^{-3} under the operating conditions, based only on oxygen dynamics, the maximum possible cell concentration is kg m−3\text{kg m}^{-3} (Answer in integer).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q47
NAT[2 Marks]
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−31000\text{ kg m}^{-3} and 1 cp, respectively. Using the data, the power required for the stirrer to operate at 300 rpm is kW (Answer in integer).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q48
NAT[2 Marks]
E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is 10210^2. After few hours, the number of viable cells is 10610^6. Assuming cell divides by binary fission, the number of generations that have taken place is (rounded off to the nearest integer).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q49
NAT[2 Marks]
A fermentor is filled with medium at a rate of 1 L min−11\text{ 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−12t\text{ 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).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q50
NAT[2 Marks]
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−150\text{ L h}^{-1} of glucose. The culture kinetic parameters μm\mu_{m} and KSK_{S} are 0.2 h−10.2\text{ h}^{-1} and 0.1 g L−10.1\text{ g L}^{-1}, respectively. The substrate concentration in the reactor will be g L−1\text{g L}^{-1} (rounded off to one decimal place).
GATE→2024→Fundamentals of Biological Engineering→Bioreaction Engineering
Q51
NAT[2 Marks]
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).

Plant, Animal and Microbial Biotechnology

8 Questions
GATE→2024→Plant, Animal and Microbial Biotechnology→Microbial Biotechnology
Q52
MCQ[1 Mark]
The relationship that involves the exchange of nutrients between two different species for their mutual growth is called
GATE→2024→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q53
MCQ[1 Mark]
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
GATE→2024→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q54
MCQ[1 Mark]
Which one of the following is an insect cell line?
GATE→2024→Plant, Animal and Microbial Biotechnology→Microbial Biotechnology
Q55
MCQ[2 Marks]
Match the industrial enzyme (Column I) with its application (Column II). **Column I** P. Lipase Q. Ficin R. Amylase S. Glucosidase **Column II** 1. Maltose syrup production 2. Oil degradation 3. Oligosaccharide/monosaccharide production 4. Meat tenderization
GATE→2024→Plant, Animal and Microbial Biotechnology→Animal Biotechnology
Q56
MCQ[2 Marks]
Match the item (Column I) with its corresponding use (Column II). **Column I** P. Glutamine Q. Trypsin R. Hypoxanthine S. Neomycin **Column II** 1. Detachment of adherent cells 2. Selection of transfected mammalian cell lines 3. Source of carbon and nitrogen in animal cell culture media 4. A component of medium for selection of hybridoma in monoclonal antibody production
GATE→2024→Plant, Animal and Microbial Biotechnology→Plant Biotechnology
Q57
MSQ[2 Marks]
Which of the following plant-based secondary metabolites belong(s) to the class of alkaloids?
GATE→2024→Plant, Animal and Microbial Biotechnology→Plant Biotechnology
Q58
MSQ[2 Marks]
Which of the following is/are considered as biotic elicitor(s) in plant cell culture?
GATE→2024→Plant, Animal and Microbial Biotechnology→Plant Biotechnology
Q59
MSQ[2 Marks]
Which of the following is/are synthetic auxin(s) that does/do NOT occur naturally?

Recombinant DNA Technology and Other Tools in Biotechnology

6 Questions
GATE→2024→Recombinant DNA Technology and Other Tools in Biotechnology→Recombinant DNA Technology
Q60
MCQ[1 Mark]
Which one of the following bacteriophages has a genome composed of single stranded circular DNA?
GATE→2024→Recombinant DNA Technology and Other Tools in Biotechnology→Molecular Tools
Q61
MCQ[1 Mark]
Which one of the following is the basic principle of Sanger's DNA sequencing method?
GATE→2024→Recombinant DNA Technology and Other Tools in Biotechnology→Computational Tools
Q62
MCQ[1 Mark]
Codon optimization for heterologous expression in E. coli can code for a
GATE→2024→Recombinant DNA Technology and Other Tools in Biotechnology→Molecular Tools
Q63
MCQ[2 Marks]
Match the chemical (Column I) with its use (Column II). **Column I** P. Diethylpyrocarbonate Q. Cesium chloride R. Ethidium bromide S. Ethylenediaminetetraacetic acid **Column II** 1. Chelation of magnesium ion during DNA purification 2. Prevention of RNA degradation in aqueous environment 3. Separation of DNA by density gradient centrifugation 4. Staining of RNA in agarose gel
GATE→2024→Recombinant DNA Technology and Other Tools in Biotechnology→Analytical Tools
Q64
MCQ[2 Marks]
Match the item in Column I with the corresponding technique in Column II. **Column I** P. Blue laser Q. Tungsten filament R. 15N^{15}\text{N} labelled protein S. Polyacrylamide **Column II** 1. Electron microscopy 2. Fluorescence activated cell sorting 3. Electrophoresis 4. Nuclear magnetic resonance spectroscopy
GATE→2024→Recombinant DNA Technology and Other Tools in Biotechnology→Molecular Tools
Q65
MSQ[2 Marks]
Which of the following features help(s) in distinguishing alleles using restriction fragment length polymorphism (RFLP)?