GATE BT 2020 Question Paper & Solutions

Verbal Aptitude

Rajiv Gandhi Khel Ratna Award was conferred Mary Kom, a six-time world champion in boxing, recently in a ceremony _the Rashtrapati Bhawan (the President's

Verbal Aptitude

Despite a string of poor performances, the chances of K. L. Rahul's selection in the playing eleven are ________.

Verbal Aptitude

Select the word that fits the analogy: Cover : Uncover :: Associate : ________

Verbal Aptitude

Hit by floods, the kharif (summer sown) crops in various parts of the country have been affected. Officials believe that the loss in production of the kharif crops can be recovered in helping winter sown crops such as wheat and pulses during the November-February period. Which of the following statements can be inferred from the given passage?

Verbal Aptitude

The difference between the sum of the first 2n natural numbers and the sum of the first n odd natural numbers is

Verbal Aptitude

Reverse repo rate is the rate at which RBI borrows money from commercial banks, whereas repo rate is the rate at which Reserve Bank of India (RBI) lends to commercial banks. Which of the following statements can be inferred from the above passage?

Analytical & Spatial Aptitude

P, Q, R, S, T, U, V, and W are seated around a circular table. I. S is seated opposite to W. II. U is seated at the second place to the right of R. III. T is seated at the third place to the left of R. IV. V is a neighbour of S. Which of the following must be true?

Quantitative Aptitude

The distance between Delhi and Agra is 233 km. A car P started travelling from Delhi to Agra and another car Q started from Agra to Delhi along the same road 1 hour after the car P started. The two cars crossed each other 75 minutes after the car Q started. Both cars were travelling at constant speed. The speed of car P was 10 km/hr more than the speed of car Q. How many kilometers the car Q had travelled when the cars crossed each other?

Analytical & Spatial Aptitude

For a matrix M = [mij]; i,j = 1,2,3,4, the diagonal elements are all zero and mij = -mji. The minimum number of elements required to fully specify the matrix is:

Quantitative Aptitude

The profit shares of two companies P and Q are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the total revenue of company P to the total revenue of company Q, during 2013 - 2018 is:

Biomolecules, enzyme kinetics

Protein P becomes functional upon phosphorylation of a serine residue. Replacing this serine with will result in a phosphomimic mutant of P.

Mass transfer in bioprocesses (kLa)

Ras protein is a signalling GTPase that acts as a binary molecular switch in cellular signal transduction. Functionally, Ras is a:

DNA replication, transcription, translation

Which of the following statements are CORRECT? [P] Viruses can play a role in causing human cancer IQI A tumor suppressor gene can be turned off without any change in its DNA sequence [R] Alteration in miRNA expression levels contributes to the development of cancer

Downstream processing (chromatography, filtration)

Which class of antibody is first made by developing B cells inside bone marrow?

Cell structure and signaling

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r] regarding mammalian cells. Assertion [a]: Cells use Ca'*, and not Na*, for cell-to-cell signaling Reason [r]: In the cytosol, concentration of Na* is lower than that of Ca?+

Mass transfer in bioprocesses (kLa)

Vincristine and vinblastine, two commercially important secondary metabolites from Catharanthus roseus, are examples of

Mass transfer in bioprocesses (kLa)

DNA synthesized from an RNA template is called

Downstream processing (chromatography, filtration)

Two monomeric His-tagged proteins of identical molecular weight are present in a solution. pls of these two proteins are 5.6 and 6.8. Which one of the following techniques can be used to separate them?

Mass transfer in bioprocesses (kLa)

During a positive-negative selection process, transformed animal cells expressing are killed in presence of ganciclovir in the medium.

Recombinant DNA technology

A vector derived from which one of the following viruses is used for high- frequency genomic integration of a transgene in animal cells?

Recombinant DNA technology

to 0.14 526.01 to 529.99 1 to 1 864 to 864 1196 to 1196 O to 0 2 to 2 2 52 3 NAT 2.20 to 2.30 25 to 25 153 3 NAT 48.50 to 49.50 OR 18521.20 to 18521.30 54 NAT 83.30 to 83.40 55 NAT -219.30 to -219.20 Copyright : GATE 2020, IIT Delhi

Downstream processing (chromatography, filtration)

Which of the following types of molecules act as biological catalysts? [P] Protein [Q] RNA [R] Phospholipid

Mass transfer in bioprocesses (kLa)

Which one of the following media components is used to maintain pH in mammalian cell culture?

Calculus

Which of the following are energy transducing membranes? [P] Plasma membrane of bacteria [Q] Inner membrane of chloroplasts [R] Inner membrane of mitochondria

Biomolecules, enzyme kinetics

Amino acid sequences of cytochrome e and ribulose 5-phosphate epimerase from 40 organisms were chosen and phylogenetic trees were obtained for each of these two protein families. Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion [a]: The two trees will not be identical Reason [r]: The nature and frequency of mutations in the two families are different

Downstream processing (chromatography, filtration)

A microorganism isolated from a salt-rich (salt concentration ~2 M) lake was found to possess diglycerol tetraethers, with polyisoprenoid alcohol side chains, as the major lipid component of its cell membrane. The isolated organism is

Biomolecules, enzyme kinetics

A function fis as follows: f(x) = (cx if x ≥ 1 if x < 1 The function fis a continuous function when c is equal to (answer is an integer).

Calculus

Given that Z = X2 + Y?, the value of = for X = 1 and Y = 0 is (answer is an integer).

Bioreactor types, scale-up

The elemental composition of dry biomass of a yeast species is CH1.600.4N0.250.0024Po.017. The contribution of carbon to the dry biomass is % (round off to 2 decimal places). [Given: atomic weights of H, C, N, O, P and S are 1, 12, 14, 16, 31 and 32, respectively] Q. No. 20 Solvents A and B are completely immiscible. Solute S is soluble in both these solvents. 100 g of S was added to a container which has 2 kg each of A and B. The solute is 1.5 times more soluble in solvent A than in solvent B. The mixture was agitated thoroughly and allowed to reach equilibrium. Assuming that the solute has completely dissolved, the amount of solute in solvent A phase is 8.

Mass transfer in bioprocesses (kLa)

Solvents A and B are completely immiscible. Solute S is soluble in both these solvents. 100 g of S was added to a container which has 2 kg each of A and B. The solute is 1.5 times more soluble in solvent A than in solvent B. The mixture was agitated thoroughly and allowed to reach equilibrium. Assuming that the solute has completely dissolved, the amount of solute in solvent A phase is ________ g.

Biomolecules, enzyme kinetics

The number of molecules of a nucleotide of molecular weight 300 g/mol present in 10 picomoles is x 10'2 (round off to 2 decimal places).

Mass transfer in bioprocesses (kLa)

To facilitate mass transfer from a gas to a liquid phase, a gas bubble of radius r is introduced into the liquid. The gas bubble then breaks into 8 bubbles of equal radius. Upon this change, the ratio of the interfacial surface area to the gas phase volume for the system changes from 3/r to 3n/r. The value of n is

Linear Algebra

The largest eigenvalue of the matrix |1 -2 His

Probability and Statistics

A normal random variable has mean equal to 0, and standard deviation equal to 3. The probability that on a random draw the value of this random variable is greater than 0 is (round off to 2 decimal places).

Calculus

A variable Y is a function of t. Given that Y (t = 0) = 1 and Y (t = 1) = 2. dt — in the interval t = [0, 1] can be approximated as _ Q26 - Q55 carry two marks each.

Biomolecules, enzyme kinetics

A block of ice at 0 °C is supplied heat at a constant rate to convert ice to superheated steam. Which one of the following trajectories correctly represents the trend of the temperature of the system with time? Assume that the specific heat of H2O is not a function of temperature.

Recombinant DNA technology

The DNA sequence shown below is to be amplified by PCR: 5 ' GCTAAGATCTGAATTTTCC.....TTGGGCAATAATGTAGCGC3' 3' CGATTCTAGACTTAAAAG.....AACCCGTTATTACATCGCG5'

Microbial growth kinetics

Which of the following statements about immune response are CORRECT? [P] T cells are activated by antigen-presenting cells [Q] Foreign peptides are not presented to helper T cells by Class II MHC proteins [R] Dendritic cells are referred to as professional antigen-presenting cells

Cell structure and signaling

Which of the following statements are CORRECT about eukaryotic cell cycle? [P] CDKs can phosphorylate proteins in the absence of cyclins [Q] CDKs can be inactivated by phosphorylation [R] Degradation of cyclins is required for cell cycle progression [S] CDKs are not involved in chromosome condensation

Mass transfer in bioprocesses (kLa)

W, X and Y are the intermediates in a biochemical pathway as shown below: S -> W -> X -> Y -> Z Mutants auxotrophic for Z are found in four different complementation groups, namely Z1, Z2, Z3 and Z4. Growth of these mutants on media supplemented with W, X, Y or Z is: Z1: W (No), X (No), Y (Yes), Z (Yes) Z2: W (No), X (Yes), Y (Yes), Z (Yes) Z3: W (No), X (No), Y (No), Z (Yes) Z4: W (Yes), X (Yes), Y (Yes), Z (Yes) What is the order of the four complementation groups in terms of the step they block?

Recombinant DNA technology

In tomato plant, red (R) is dominant over yellow (r) for fruit color and purple (P) is dominant over green (p) for stem color. Fruit color and stem color assort independently. The number of progeny plants of different fruit/stem colors obtained from a mating are as follows: Red fruit, purple stem - 145 Red fruit, green stem - 184 Yellow fruit, purple stem - 66 Yellow fruit, green stem - 47 What are the genotypes of the parent plants in this mating?

Calculus

Some of the cytokinins used in plant tissue culture media are given below: [P] BAP IQI Zeatin [R] Kinetin [S] 2iP Which of these are synthetic analogs?

Biomolecules, enzyme kinetics

Carl Woese used the gene sequence of which one of the following for phylogenetic taxonomy of prokaryotes?

Biomolecules, enzyme kinetics

A list of pathogens (Group I) and a list of anti-microbial agents (Group II) used to treat their infections are given below. Match the pathogens with the corresponding anti-microbial agents. Group I Group II [P] Influenza A virus 1. Isoniazid [Q] Fungus 2. Amantadine [R] Plasmodium 3. Fluconazole [S] Mycobacterium 4. Artemisinin 5. lodoquinol

DNA replication, transcription, translation

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]: Assertion [a]: Dam methylase protects E. coli DNA from phage endonucleases. Reason [r]: E. coli Dam methylase methylates the adenosine residue in the sequence "GATC".

Biomolecules, enzyme kinetics

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion [a]: Embryonic stem cells are suitable for developing knockout mice Reason [r]: Homologous recombination is more frequent in embryonic stem cells than that in somatic cells

Recombinant DNA technology

The schematic of a plasmid with a gap in one of the strands is shown below: ATCGCGATG TAGC AC 3' OH 5' OH Which of the following enzyme(s) is/are required to fill the gap and generate a covalently closed circular plasmid? [P] DNA ligase [Q] Alkaline phosphatase [RJ DNA polymerase [S] Polynucleotide kinase

Downstream processing (chromatography, filtration)

Match sub-cellular organelles listed in Group I with their features listed in Group II: Group I Group Il [P] Mitochondrion 1. Single-membrane enclosed [Q] Chloroplast 2. Double-membrane enclosed [R] Nucleus 3. Maternal inheritance [S] Endoplasmic reticulum 4. Endosymbiotic origin

Mass transfer in bioprocesses (kLa)

Which of the following strategies are used by cells for metabolic regulation? [P] Phosphorylation - dephosphorylation [Q] Allostery [R] Feedback inhibition

Cell structure and signaling

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r). Assertion [a]: A zygote and its immediate descendant cells are unspecialized and are called totipotent Reason [r]: Totipotent cells retain the capacity to differentiate into only a few cell types

Cell structure and signaling

Which of the following statements about gene therapy are CORRECT? [P] Affected individuals, but not their progeny, can be cured through germline gene therapy [Q] Affected individuals, as well as their progeny, can be cured through germline gene therapy [R] Affected individuals, but not their progeny, can be cured through somatic gene therapy [S] Affected individuals, as well as their progeny, can be cured through somatic gene therapy

Bioreactor types, scale-up

Determine the correctness or otherwise of the following Assertion [a] and the Reason (r]. Assertion [a]: A genetically engineered rice that produces beta-carotene in the rice grain is called Golden rice Reason [r]: Enabling biosynthesis of provitamin A in the rice endosperm gives a characteristic yellow/orange color

Mass transfer in bioprocesses (kLa)

The sequence of a 1 Mb long DNA is random. This DNA has all four bases occurring in equal proportion. The number of nucleotides, on average, between two successive EcoRI recognition site GAATTC is _

Biomolecules, enzyme kinetics

E. coli was grown in '5N medium for several generations. Cells were then transferred to '4N medium, allowed to grow for 4 generations and DNA was isolated immediately. The proportion of total DNA with intermediate density is (round off to 2 decimal places).

Bioreactor types, scale-up

A batch reactor is inoculated with 1 g/L biomass. Under these conditions, cells exhibit a lag phase of 30 min. If the specific growth rate in the log phase is 0.00417 min', the time taken for the biomass to increase to 8 g/L is min (round off to 2 decimal places).

Quantitative Aptitude

The system of linear equations cx + y = 5 3x + 3y = 6 has no solution when c is equal to Q. No. 47 The amino acid sequence of a peptide is Phe-Leu-lle-Met-Ser-Leu. The number of codons that encode the amino acids present in this peptide is given below: Phe: 2 codons Leu: 6 codons Ile: 3 codons Met: 1 codon Ser: 4 codons The number of unique DNA sequences that can encode this peptide is

Quantitative Aptitude

The amino acid sequence of a peptide is Phe-Leu-Ile-Met-Ser-Leu. The number of codons that encode the amino acids present in this peptide is given below: Phe: 2 codons; Leu: 6 codons; Ile: 3 codons; Met: 1 codon; Ser: 4 codons. The number of unique DNA sequences that can encode this peptide is ________.

Quantitative Aptitude

Assume that a cell culture was started with five human fibroblast cells. Two cells did not divide even once whereas the other three cells completed three rounds of cell division. At this stage, the total number of kinetochores in all the cells put together is

Quantitative Aptitude

Growth of an organism on glucose in a chemostat is characterized by Monod model with maximum specific growth rate = 0.45 h⁻¹ and Ks = 0.5 g/L. Biomass from the substrate is generated as Yxs = 0.4 g/g. The chemostat volume is 0.9 L and media is fed at 1 L/h and contains 20 g/L of glucose. At steady state, the concentration of biomass in the chemostat is ________ g/L.

Quantitative Aptitude

A function f is given as: f(X) = 4X - X2 The function f is maximized when X is equal to

Quantitative Aptitude

An infinite series S' is given as: S = 1 + 2/3 + 3/9 + 4/27 + 5/81 + .... (to infinity) The value of S is (round off to 2 decimal places).

Quantitative Aptitude

Protein A and protein B form a covalent complex. Gel filtration chromatography of complex, with and without beta-mercaptoethanol, showed a single band corresponding to molecular weight 50 and 25 kDa, respectively. Given that the molecular weight of protein A is 25 kDa, the molecular weight of protein B is kDa.

Analytical & Spatial Aptitude

The concentrations of ATP, ADP and inorganic phosphate in a cell are 2.59, 0.73 and 2.72 mM, respectively. Under these conditions, free energy change for the synthesis of ATP at 37 °C is kJ/mol (round off to 2 decimal places). Given: free energy change for ATP hydrolysis under standard conditions is -30.5 kJ/mol and R = 8.315 kJ/mol.K

Quantitative Aptitude

An algorithm was designed to find globins in protein sequence databases. A database which has 78 globin sequences was searched using this algorithm. The algorithm retrieved 72 sequences of which only 65 were globins. The sensitivity of this algorithm is % (round off to 2 decimal places).

Quantitative Aptitude

The mitochondrial electron transfer chain oxidizes NADH with oxygen being the terminal electron acceptor. The redox potentials for the two half-reactions are given below: NAD+ + H+ + 2e* → NADH, E°' = -0.32V 202 + 2H* + 2e → H20, ° = 0.816V The free energy change associated with the transfer of electrons from NADH to O2 is kJ/mol (round off to 2 decimal places). Given: F = 96500 C/mol. Copyright : GATE 2020, IIT Delhi GATE 2020 IIT Delhi Home Information Brochure GATE International Pre Examination Important Dates FAQS Contact Us Answer Key - BT: Biotechnology Q.No. Que. Type Sec. Name Key MCQ MCQ B 3 4 MCQ D MCQ 5 MCQ B MCQ D MCQ 8 MCQ MCQ 10 MCQ MCQ MCQ MCQ OR D MCQ MCQ MCQ MCQ MCQ MCO MCQ 11 MCO 12 MCQ 13 MCQ 14 MCO 15 MCQ 00010u no to seE 115 2 to 2 51.01 to 52.99 20 60 to 60 5.99 to 6.05 2 to 2 3 to 3