GATE BT 2019 Question Paper & Solutions

Verbal Aptitude

The fishermen, the flood victims owed their lives, were rewarded by the government.

Analytical & Spatial Aptitude

Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary? 1. Some who were involved in the strike were students. 2. No student was involved in the strike. 3. At least one student was involved in the strike. 4. Some who were not involved in the strike were students.

Quantitative Aptitude

The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is

Analytical & Spatial Aptitude

Five numbers 10, 7, 5, 4 and 2 are to be arranged in a sequence from left to right following the directions given below: 1. No two odd or even numbers are next to each other. 2. The second number from the left is exactly half of the left-most number. 3. The middle number is exactly twice the right-most number. Which is the second number from the right?

Verbal Aptitude

Until Iran came along, India had never been in kabaddi.

Verbal Aptitude

Since the last one year, after a 125 basis point reduction in repo rate by the Reserve Bank of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest rates on small saving schemes to bring them on par with fixed deposit interest rates. Which one of the following statements can be inferred from the given passage?

Quantitative Aptitude

In a country of 1400 million population, 70% own mobile phones. Among the mobile phone owners, only 294 million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country?

Verbal Aptitude

The nomenclature of Hindustani music has changed over the centuries. Since the medieval period dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of music education the term gharana became acceptable. Gharana originally referred to hereditary musicians from a particular lineage, including disciples and grand disciples. Which one of the following pairings is NOT correct?

Quantitative Aptitude

Two trains started at 7AM from the same point. The first train travelled north at a speed of 80km/h and the second train travelled south at a speed of 100 km/h. The time at which they were 540 km apart is

Verbal Aptitude

"I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community." Based on the paragraph above, the prestige of a head-hunter depended upon

Recombinant DNA technology

The Bt toxin gene from Bacillus thuringiensis used to generate genetically modified crops

Biomolecules, enzyme kinetics

Which one of the following is used as a pH indicator in animal cell culture medium?

DNA replication, transcription, translation

The antibiotic tetracycline inhibits bacterial protein synthesis by interfering with:

Biomolecules, enzyme kinetics

Which one of the following is a database of protein sequence motifs?

Probability and Statistics

The standard deviation (o) for the casino payout is Rs. (rounded off to the nearest integer).

Cell structure and signaling

to 0.6 2 49 NAT 128 to 130 2 50 NAT 2.20 to 2.50 2 51 NAT 12500 to 14500 2 52 NAT 970 to 1010 2 53 NAT ВТ 1 to 1 2 54 NAT 9 to 10 2 55 NAT 30 to 30 2

Mass transfer in bioprocesses (kLa)

Match the human diseases in Group I with the causative agents in Group II. Group I Group II P. Amoebiasis 1. Leishmania donovani Q. African sleeping sickness R. Kala azar 2. Trypanosoma cruzi 3. Entamoeba histolytica S. Chagas' disease Trypanosoma gambiense

Downstream processing (chromatography, filtration)

Which one of the following techniques can be used to compare the expression of a large number of genes in two biological samples in a single experiment?

Biomolecules, enzyme kinetics

Which of the following are geometric series? P. 1, 6, 11, 16, 21, 26, ... Q. 9, 6, 3, 0, -3, -6, ... R. 1, 3, 9, 27, 81, ... S. 4, -8, 16, -32, 64, ...

Cell structure and signaling

Which one of the following is NOT a part of the human nonspecific defense system?

DNA replication, transcription, translation

A mutation in a gene that codes for a polypeptide results in a variant polypeptide that lacks the last three amino acids. What type of mutation is this?

Differential Equations

Which one of the following equations represents a one-dimensional wave equation? (B) atz

Recombinant DNA technology

Which of the following are geometric series? P. 1, 6, 11, 16, 21, 26, ...

Bioenergetics and Metabolism

Which one of the following statements is CORRECT for enzyme catalyzed reactions? (4G is Gibbs free energy change, Keq is equilibrium constant)

Mass transfer in bioprocesses (kLa)

Which one of the following can NOT be a limiting substrate if Monod's growth kinetics is applicable?

Biomolecules, enzyme kinetics

Which one of the following is the unit of heat transfer coefficient?

Mass transfer in bioprocesses (kLa)

Which one of the following is catabolized during endogenous metabolism in a batch bacterial cultivation?

Biomolecules, enzyme kinetics

Which one of the following need NOT be conserved in a biochemical reaction?

Biomolecules, enzyme kinetics

The number of possible rooted trees in a phylogeny of three species is

Linear Algebra

Matrix A = 0 will be skew-synnetric when p= _ 2.21 The solution of lim (*2-64) is _

Mass transfer in bioprocesses (kLa)

A pure culture of bacteria with an initial concentration of 1.0 x 10^3 cells/mL doubles every 30 minutes in exponential growth. The bacterial cell concentration after 3 hours of incubation is ________ x 10^3 cells/mL.

Biomolecules, enzyme kinetics

The median value for the dataset (12, 10, 16, 8, 90, 50, 30, 24) is

Media Sterilization and Stoichiometry

The degree of reduction for acetic acid (C2H4O2) is

Biomolecules, enzyme kinetics

The mass of 1 kmol of oxygen molecules is g (rounded off to the nearest integer). GATE 2019 Biotechnology

Biomolecules, enzyme kinetics

Protein concentration of a crude enzyme preparation was 10 mg mL-'. 10 L of this sample gave an activity of 5 umol min' under standard assay conditions. The specific activity of this crude enzyme preparation is units mg' GATE 2019 Biotechnology

Biomolecules, enzyme kinetics

In general, which one of the following statements is NOT CORRECT?

Recombinant DNA technology

For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated DNA?

Mass transfer in bioprocesses (kLa)

Match the organelles in Group I with their functions in Group II. P. Lysosome Group I Group Il 1. Digestion of foreign substances Q. Smooth ER 2. Protein targeting R. Golgi apparatus 3. Lipid synthesis S. Nucleolus 4. Protein synthesis 5. IRNA synthesis

Cell structure and signaling

Which of the following statements are CORRECT when a protein sequence database is searched using the BLAST algorithm? P. A larger E-value indicates higher sequence similarity Q. E-value < 10-10 indicates sequence homology R. A higher BLAST score indicates higher sequence similarity S. E-value > 10'° indicates sequence homology

Classical Genetics and Epistasis

Which one of the following is coded by the ABO blood group locus in the human genome?

Recombinant DNA technology

Which of the following factors affect the fidelity of DNA polymerase in polymerase chain reaction? P. Mg concentration Q. pH R. Annealing temperature

Biomolecules, enzyme kinetics

Group I lists spectroscopic methods and Group II lists biomolecular applications of these methods. Match the methods in Group I with the applications in Group П. P. Infrared Group I Group III 1. Identification of functional groups Q. Circular Dichroism 2. Determination of secondary structure R. Nuclear Magnetic Resonance 4. Determination of 3-D structure 3. Estimation of molecular weight

Downstream processing (chromatography, filtration)

The hexapeptide P has an isoelectric point (pI) of 6.9. Hexapeptide Q is a variant of P that contains valine instead of glutamate at position 3. The two peptides are analyzed by polyacrylamide gel electrophoresis at pH 8.0. Which one of the following statements is

Cell structure and signaling

Antibody-producing hybridoma cells are generated by the fusion of a

Biomolecules, enzyme kinetics

Which of the following statements are CORRECT about the function of fetal bovine serum in animal cell culture? P. It stimulates cell growth Q. It enhances cell attachment S. R. It provides hormones and minerals It maintains pH at 7.4

Classical Genetics and Epistasis

Which one of the following covalent linkages exists between 7-Methyl guanosine (m'G) and mRNAs?

Biomolecules, enzyme kinetics

Which one of the following amino acid residues will destabilize an a-helix when inserted in the middle of the helix?

Differential Equations

What is the solution of the differential equation dy = * y, with the initial condition, at x = 0, y = 1?

Differential Equations

The Laplace transform of the polynomial function f(t) = t^2 + 2t + 1 for s > 0 is:

Mass transfer in bioprocesses (kLa)

Which of the following factors can influence the lag phase of a microbial culture in a batch fermentor? P. Inoculum size Q. Inoculum age R. Medium composition

Downstream processing (chromatography, filtration)

Which one of the following statements is CORRECT about proportional controllers?

Mass transfer in bioprocesses (kLa)

Match the instruments in Group I with their corresponding measurements in Group II. P. Manometer Group I 1. Agitator speed Group I Q. Rotameter 2. Pressure difference R. Tachometer 3. Cell number S. Haemocytometer 4. Air flow rate

Bioreactor types, scale-up

Which of the following statements is ALWAYS CORRECT about an ideal chemostat? P. Substrate concentration inside the chemostat is equal to that in the exit stream R. Biomass concentration increases with increase in dilution rate Q. Optimal dilution rate is lower than critical dilution rate S. Cell recirculation facilitates operation beyond critical dilution rate

Calculus

Determine the correctness of otherwise of the following Assertion [a] and the Reason [r] Assertion [a]: It is possible to regenerate a whole plant from a single plant cell. Reason [r]: It is easier to introduce transgenes in to plants than animals.

Biomolecules, enzyme kinetics

A UV-visible spectrophotometer has a minimum detectable absorbance of 0.02. The minimum concentration of a protein sample that can be measured reliably in this instrument with a cuvette of 1 cm path length 1s uM. The molar extinction coefficient of the protein is 10,000 L mol' cm'.

Analytical & Spatial Aptitude

The difference in concentrations of an uncharged solute between two compartments is 1.6-fold. The energy required for active transport of the solute across the membrane separating the two compartments is _ cal mol' (rounded off to the nearest integer). (R = 1.987 cal mol' K*, T = 37 °C)

Quantitative Aptitude

In pea plants, purple color of flowers is determined by the dominant allele while white color is determined by the recessive allele. A genetic cross between two purple flower- bearing plants results in an offspring with white flowers. The probability that the third offspring from these parents will have purple flowers is (rounded off to 2 decimal

Quantitative Aptitude

The molecular mass of a protein is 22 kDa. The size of the cDNA (excluding the untranslated regions) that codes for this protein is kb (rounded off to 1 decimal place). GATE 2019 Biotechnology 2.49 A new game is being introduced in a casino. A player can lose Rs. 100, break even, win Rs. 100, or win Rs. 500. The probabilities (P(X)) of each of these outcomes (X) are given in the following table: X (in Rs.) -100 100 500 P (X)

Quantitative Aptitude

The population of a city increased by 5% from year 2017 to 2018 and further by 10% from 2018 to 2019. The overall percentage increase in population from 2017 to 2019 is ________%.

Quantitative Aptitude

J-1 f(x)dx calculated using trapezoidal mule for the values given in the table is (rounded off to 2 decimal places). -1 -⅓ ⅓ 1 f(x)

Quantitative Aptitude

Yeast biomass (C6H10O3N) grown on glucose is described by the stoichiometric equation given below: C6H1206 + 0.48 NH3 + 3 O2 → 0.48 C6H10O3N + 3.12 CO2 + 4.32 H20 The amount of glucose needed for the production of 50 g Li' of yeast biomass in a batch reactor with a working volume of 1,00,000 L is nearest integer). kg (rounded off to the

Quantitative Aptitude

Phenolic wastewater discharged from an industry was treated with Pseudomonas sp. in an aerobic bioreactor. The influent and effluent concentrations of phenol were 10,000 and 10 ppm, respectively. The inlet feed rate of wastewater was 80 L h''. The kinetic properties of the organism are as follows: Maximum specific growth rate (Hm) = 1 h Saturation constant (Ks) = 100 mg Lil Assuming that the bioreactor operates under 'chemostat' mode, the working volume required Cell death rate (ka) = 0.01 h-' for this process is _L (rounded off to the nearest integer).

Quantitative Aptitude

In a cross-flow filtration process, the pressure drop (AP) driving the fluid flow is 2 atm, inlet feed pressure (Pi) is 3 atm and filtrate pressure (Pf) is equal to atmospheric pressure. The average transmembrane pressure drop (4Pm) is _ atm.

Quantitative Aptitude

An industrial fermentor containing 10,000 L of medium needs to be sterilized. The initial spore concentration in the medium is 10° spores mL-'. The desired probability of contamination after sterilization is 103. The death rate of spores at 121 °C is 4 min'. Assume that there is no cell death during heating and cooling phases. The holding time of the sterilization process 1s min (rounded off to the nearest integer). GATE 2019 Biotechnology

Analytical & Spatial Aptitude

The dimensions and operating condition of a lab-scale fermentor are as follows: Volume = 1 L Diameter = 20 cm Agitator speed = 600 pm Ratio of impeller diameter to fermentor diameter = 0.3 This fermentor needs to be scaled up to 8,000 L for a large scale industrial application. If the scale-up is based on constant impeller tip speed, the speed of the agitator in the larger 1pm. Assume that the scale-up factor is the cube root of the ratio of fermentor volumes.