GATE BT 2021 Question Paper & Solutions

Quantitative Aptitude

The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is:

Quantitative Aptitude

A polygon is convex if, for every pair of points P and Q belonging to the polygon, the entire line segment PQ belongs to the polygon. Which of the following shapes is always convex?

Verbal Aptitude

Consider the following sentences: (i) Everybody in the class is prepared for the exam. (ii) Babu invited Danish to his home because he enjoys playing chess. Which of the following is the CORRECT observation about the above two sentences?

Analytical & Spatial Aptitude

A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like

Verbal Aptitude

is to surgery as writer is to Which one of the following options maintains a similar logical relation in the above sentence?

Analytical & Spatial Aptitude

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is

Quantitative Aptitude

Items Cost Profit % Marked Price (E) (8) 5,400 - 5,860 Q --- 25 10,000 Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost (Profit % = Selling price-Cost × 100). The discount on item Q, as a percentage of its marked price, is

Quantitative Aptitude

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is

Verbal Aptitude

Given below are two statements 1 and 2, and two conclusions I and II. Statement 1: All bacteria are microorganisms. Statement 2: All pathogens are microorganisms. Conclusion I: Some pathogens are bacteria. Conclusion II: All pathogens are not bacteria. Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Verbal Aptitude

Some people suggest anti-obesity measures (AOM) such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems that cause obesity: poverty and income inequality. Which one of the following statements summarizes the passage?

DNA replication, transcription, translation

g cm . If the biomass reach their terminal velocity instantaneously, the biomass settling time in min (rounded off to two decimal places) is _

DNA replication, transcription, translation

The enzyme that transcribes the eukaryotic genes encoding precursor ribosomal RNAs (pre-rRNAs) of 28S, 18S and 5.8S rRNAs is

Biomolecules, enzyme kinetics

Number of unrooted trees in a phylogeny of five sequences is

Biomolecules, enzyme kinetics

Which one of the following methods is used to test the significance of a predicted phylogeny?

Biomolecules, enzyme kinetics

to 0.5 2 44 5 NAT 8 to 8 2 45 5 NAT 64 to 65 2 46 5 NAT 13 to 14 2 47 5 NAT 1.20 to 1.30 2 48 5 NAT

Biomolecules, enzyme kinetics

The order of genes present in a chromosome is as follows. L M NOP Q Which one of the following rearrangements represents a paracentric inversion?

Biomolecules, enzyme kinetics

Which one of the following statements is INCORRECT about hybridoma production?

Calculus

The derivative d/dx [ln(2x)] with respect to x is equal to:

Downstream processing (chromatography, filtration)

Which one of the following techniques/tools is NOT used for inserting a foreign gene into a cell?

Biomolecules, enzyme kinetics

Under standard temperature (T) and pressure (P) conditions, 128 g of an ideal gas molecule A occupies a volume of 1 L. The gas molecule A obeys the relationship RT = 0.25 PV, where R is the universal gas constant and V is ideal gas volume. The molecule A is:

CRISPR-Cas9 gene editing

CRISPR-Cas system is associated with

Downstream processing (chromatography, filtration)

The process by which intracellular macromolecules are supplied for lysosomal degradation during nutrient starvation is

Biomolecules, enzyme kinetics

The process and instrumentation diagram for a feedback control strategy to maintain the level (h) of a liquid by regulating a valve (V) in a tank is shown below. F, is inlet liquid flow rate, F, is outlet liquid flow rate, LT is the liquid level transmitter, LC is the liquid level controller, hs is the setpoint value of the liquid level, his the measured value of the liquid level and P, is the valve pressure. F, LT (LC _h Sp h F, The manipulating variables) is/are

Biomolecules, enzyme kinetics

A protein without its prosthetic group is known as

Bioenergetics and Metabolism

The enzyme which adds phosphate group to the free 5' terminus of a DNA sequence is

Mass transfer in bioprocesses (kLa)

Which one of the following statements is CORRECT about microbial growth media?

DNA replication, transcription, translation

The cellular process which utilizes RNA-induced silencing complex to block gene expression is

Cell structure and signaling

Which of the following layers) is/are formed from the inner cell mass of the blastocyst?

Downstream processing (chromatography, filtration)

Which of the following cell organelles) is/are surrounded by a single phospholipid membrane?

Biomolecules, enzyme kinetics

The sum of the infinite geometric series 1 + ⅓ + ⅓3 + ⅓3 +... (rounded off to one decimal place) is

Probability and Statistics

Three balls, colored in blue, green and red, are successively transferred from box A to box B in the order BLUE-GREEN-RED. The probability of a reverse transfer of the balls to the box A in the same order (rounded off to two decimal places) is

Media Sterilization and Stoichiometry

Decimal reduction time of a bacterial strain is 20 min. Specific death rate constant in min' (rounded off to two decimal places) is _

Calculus

The value of lim [x-sin2x] x→0 x- sinsx_ (rounded off to two decimal places) is _

Biomolecules, enzyme kinetics

A system consists of two reactors, connected by a valve. The first reactor (RI) contains an ideal gas A of volume 5 L and the second reactor ( R2) has an ideal gas B of volume 10 L. Initially, the valve is closed and pressure P in R1 and reaches equilibrium. If the temperature T of both the reactors is maintained R2 are 9 and 6 atm, respectively. Later, when the valve is opened, the system constant, the final equilibrium pressure in atm of the system is _

Biomolecules, enzyme kinetics

to 0.25 1 0 24 5 NAT 7 to 7 1 25 5 NAT 1.60 to 1.80 1 26 5 MCQ 2 27 5 MCO 2 28 5 MCQ D 2 29 5 MCQ 2 30 5 MCQ D 2 31 5 MCQ 2 32 5 MCQ D 2 33 5 MCO 2 GATE 2021 Answer Key for Biotechnology (BT) Q. No. Answer Negative MCa/MSQ/NAT Name Key/Range 34 5 MCO C 2 35 5 MSQ A; B; D 2 36 5 MSQ A; B; C 2 37 5 MSQ B; C; D 2 38 5 MSQ A; B 2 39 5 315 to 315 2 40 5 NAT NAT 4 to 4 2 41 5 NAT 0 to 0 OR 4 to 4 2 42 5 NAT 2 to 2 2 43 5 NAT

Biomolecules, enzyme kinetics

Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? X and P denote viable cell and product concentrations, respectively.

Biomolecules, enzyme kinetics

Match enzymes in Group I with their corresponding industrial application in Group II. Group I Group I P. Amylase 1. Laundry detergent Q. Invertase 2. Fruit juice clarification R. Pectinase 3. Liquefaction of sucrose S. Xylanase 4. Pulp and paper processing

Calculus

Match separation methods in Group I with associated properties in Group Group I Group I P. Centrifugation 1. Density Q. Dialysis 2. Diffusivity R. Solvent extraction 3. Size S. Ultrafiltration 4. Solubility

Cell structure and signaling

Match the autoimmune diseases in Group I with the corresponding primarily affected organ in Group II. Group I Group I P. Hashimoto's disease 1. Brain Q. Juvenile diabetes 2. Pancreas R. Multiple sclerosis 3. Skeletal muscle S. Myasthenia gravis 4. Thyroid

Cell structure and signaling

Match hypersensitivity types in Group I with their corresponding condition in Group I. Group I Group II P. Type I 1. Erythroblastosis fetalis Q. Type II 2. Host reaction to bee venom R. Type III 3. Systemic lupus erythematosus S. Type IV 4. Tuberculin reaction

Biomolecules, enzyme kinetics

function are CORRECT? Which of the following combinations of plant hormones and their associated Hormone Function P. Abscisic acid Breaks seed dormancy Q. Auxin Induces cell division R. Ethylene Stimulates ripening of fruits S. Gibberellin Promotes seed dormancy

DNA replication, transcription, translation

Which one of the following tools is used to compare all the possible six-open reading frames of a given nucleotide query sequence with all the available six-open reading frames of the nucleotide sequence database?

Mass transfer in bioprocesses (kLa)

In Neurospora crassa, a mutation in the poky gene results in a slow growth phenotype (poky). The results of four crosses are given below. (1) wild-type f x wild-type ® → All progeny are wild-type (2) wild-type f x poky & → All progeny are wild-type (3) poky f x wild-type & → All progeny are poky (4) poky f x poky & → All progeny are poky Which one of the following explains the inheritance mode of poky?

Biomolecules, enzyme kinetics

Tertiary structure of a protein consisting of a-helices and B-strands can be determined by

Mass transfer in bioprocesses (kLa)

tumefaciens? Which of the following statements) is/are CORRECT about Agrobacterium

Mass transfer in bioprocesses (kLa)

Which of the following antimicrobial agents) is/are growth factor analog(s)?

Calculus

Which of the following chemical messengers) is/are derivatives) of tryptophan?

Biomolecules, enzyme kinetics

Which of the following nucleus/nuclei is/are NMR active?

Classical Genetics and Epistasis

In a Mendel's dihybrid experiment low seeds crossed with honor mom med n seeds. F, intercross produced 560 F, progeny. The number of F, progeny having both dominant traits (round and yellow) is _

Cell structure and signaling

A 0.1 mL aliquot of a bacteriophage stock having a concentration of 4x10° phages mE' is added to 0.5 mL of E. coli culture having a concentration of 2x10% cells mL"'. The multiplicity of infection is _

Biomolecules, enzyme kinetics

to 0.43 2 49 5 NAT 2 to 2 2 50 5 NAT 6 to 6 2 0 51 5 NAT 3.70 to 3.80 2 52 5 NAT 23.0 to 24.0 2 0 53 5 NAT 1.37 to 1.38 2 54 5 NAT 2 to 2 2 0 55 5 NAT 1.90 to 2.00 2

Bioreactor types, scale-up

In a chemostat with a dilution rate of 0.8 h''. , the steady state biomass concentration and the specific product formation rate are 8 mol m3 and

Probability and Statistics

If the values of two random variables (X, Y) are (121, 360), (242, 364) and (363, 362), the value of correlation coefficient between X and Y (rounded off to one decimal place) is _

Linear Algebra

1 1 1 The determinant of matrix A = -1 1 1 1 -1 1 1 is (1 1 1 3)

Bioreactor types, scale-up

It is desired to scale-up a fermentation from IL to 1000L vessel by maintaining a constant power-to-volume ratio. The small fermenter is operated at an agitator speed of 300 rotations per minute (rpm). If the value of scale up factor is 10, agitator speed in rpm (rounded off to the nearest integer) for the large fermenter is

Bioreactor types, scale-up

The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is 0.15 h'. If the cell concentration at 30h is 33g L' the cell concentration in g L' (rounded off to the nearest integer) at 24h is

Bioreactor types, scale-up

A sedimentation tank of height 100 cm is used in a conventional activated sludge process to separate a suspension of spherical shaped granular sludge biomass of 0.5 mm diameter. The viscosity of the liquid is 1 cP. The difference in density between the suspended biomass and the liquid is

Classical Genetics and Epistasis

In a random mating population, Y and y are dominant and recessive alleles, respectively. If the frequency of Y allele in both sperm and egg is Q.70, then the frequency of Y/y heterozygotes (rounded off to two decimal places) is

Calculus

Calculate the following integral I sin vi do =

Biomolecules, enzyme kinetics

A feed stream (E) containing components A and B is processed in a system comprising of separation unit and a mixer as shown below in the schematic diagram. The mole fractions of the components A and B are x, and XB, respectively. If F, + F2 = 100 kg h , the degrees of freedom of the system is * X14 Хв4 Separation Fs XA1 X 13 unt Mixer F * 45 X 16 XBI XB3 XBS Хв6 X 12 XB2

Mass transfer in bioprocesses (kLa)

A batch cultivation of E. coli follows zeroth order Monod's growth kinetics. The cell growth is terminated when the residual dissolved oxygen concentration attains 10% of its saturation value and oxygen mass transfer coefficient (k,a) reaches its maximum value (80h'). The saturation value of dissolved oxygen concentration is 0.007 kg m. If the maximum specific growth rate and yield coefficient (Xx/a) are 0.2 h' and 1.5 (kg cells) (kg 02) -1 , respectively, then the final cell concentration in kg m (rounded off to two decimal places) at the end of the batch cultivation

Biomolecules, enzyme kinetics

Milk flowing through a stainless steel inner tube (40 mm inner diameter) of double tube-type heater is to be heated from 10 °C to 85 °C by saturated steam condensing at 120°C on the outer surface of the inner tube. Total heat transferred (Q) is 146200 kcal h-1 and the overall heat transfer coefficient is 750 kcal h-1 m-2°C-1. The total length of the heating tube in m (rounded off to one decimal place) is _

Recombinant DNA technology

A DNA solution of 50 ug mL' concentration gives an absorbance of 1.0 at 260nm. An aliquot of 20uLfrom a 50 uL purified plasmid solution is diluted with distilled water to a total volume of 1000 uL. The diluted plasmid solution gives an absorbance of 0.550 at 260nm. The concentration of the purified plasmid in ug uL' (rounded off to two decimal places) is _

Mass transfer in bioprocesses (kLa)

The possible number of Sall restriction sites in a 9 kb double-stranded DNA, with all four bases occurring in equal proportion (rounded off to the nearest integer) is

Microbial growth kinetics

A bacterium produces acetic acid from ethanol as per the following reaction 2CHCH2OH + 202 → 2CH COOH + 2H20 The thermodynamic maximum yield of acetic acid from ethanol in g g' (rounded off to two decimal places) is _