GATE BT 2022 Question Paper & Solutions

Quantitative & Analytical Aptitude

You should _________ when to say _________.

Quantitative & Analytical Aptitude

Two straight lines pass through the origin (x଴, y଴) = (0,0). One of them passes through the point (xଵ, yଵ) = (1,3) and the other passes through the point (xଶ, yଶ) = (1,2). What is the area enclosed between the straight lines in the interval [0, 1] on the x-axis?

Quantitative & Analytical Aptitude

Question 3 from official GATE BT 2022 Examination.

Quantitative & Analytical Aptitude

Question 4 from official GATE BT 2022 Examination.

Quantitative & Analytical Aptitude

Question 5 from official GATE BT 2022 Examination.

Quantitative & Analytical Aptitude

Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older. Which one of the following is the CORRECT logical inference based on the information in the above passage?

Quantitative & Analytical Aptitude

Question 7 from official GATE BT 2022 Examination.

Quantitative & Analytical Aptitude

Question 8 from official GATE BT 2022 Examination.

Quantitative & Analytical Aptitude

Question 9 from official GATE BT 2022 Examination.

Quantitative & Analytical Aptitude

Question 10 from official GATE BT 2022 Examination.

Engineering Mathematics

What is the order of the differential equation given below? 2 4 3 2 6 3 2 2d y x x xdx    

Engineering Mathematics

If the eigenvalues of a 2 ×2 matrix P are 4 and 2, then the eigenvalues of the matrix 1P are

Biochemistry, Microbiology & Molecular Biology

Question 13 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 14 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 15 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

The overall stoichiometry for an aerobic cell growth is 3C6H12O6 + 2.5NH3 + O2  1.5CaHbOcNd + 3CO2 + 5H2O What is the elemental composition formula of the biomass?

Biochemistry, Microbiology & Molecular Biology

Question 17 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

The type of nucleic acid present in phage is

Biochemistry, Microbiology & Molecular Biology

Question 19 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 20 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 21 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Terpenoids are made of ___________ units

Biochemistry, Microbiology & Molecular Biology

Question 23 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 24 from official GATE BT 2022 Examination.

Recombinant DNA Technology

The recognition sequences of four Type-II restriction enzymes (RE) are given below. The symbol (↓) indicates the cleavage site. Identify the RE that generates sticky ends.

Biochemistry, Microbiology & Molecular Biology

Question 26 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of 12 is _________________.

Biochemistry, Microbiology & Molecular Biology

A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is 0.5 ୥ ୠ୧୭୫ୟୱୱ ୥ ୱ୳ୠୱ୲୰ୟ୲ୣ. The initial concentrations of biomass and substrate are 2 g L -1 and 200 g L -1, respectively. Assuming that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is _________________ g L-1. .29 The degree of reduction of lactic acid (C3H6O3) is ________________.

Biochemistry, Microbiology & Molecular Biology

Question 29 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Consider a nonlinear algebraic equation, xlnx + x - 1 = 0. Using the Newton- Raphson method, with the initial guess of x଴ = 3, the value of x after one iteration (rounded off to one decimal place) is __________.

Engineering Mathematics

The probability density function of a random variable X is 2( ) 2 xp x e  . The probability (1 2)P X  (rounded off to two decimal places) is __________.

Biochemistry, Microbiology & Molecular Biology

The maximum value of the function 2 3( ) 3 2f x x x  for 0x  is ___________.

Bioprocess Engineering

The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is___________h-1.

Biochemistry, Microbiology & Molecular Biology

A fermentation broth of density 1000 kg m-3 and viscosity 10-3 kg m-1 s-1 is mixed in a 100 L fermenter using a 0.1 m diameter impeller, rotating at a speed of 2 s-1. The impeller Reynolds number is ____________. .35 For a pure species, the slope of the melting line ௗ௉ ௗ் at -2 ˚C is -5.0665×106 Pa K-1. The difference between the molar volumes of the liquid and solid phase at -2 ˚C is -4.5×10-6 m3 mol-1. The value of the latent heat of fusion (rounded off to nearest integer) is __________ J mol-1. .36 - Q.65 Carry TWO marks each.

Biochemistry, Microbiology & Molecular Biology

Question 35 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Which of the following conditions will contribute to the stability of a gene pool in a natural population? P. Large population Q. No net mutation R. Non-random mating S. No selection

Biochemistry, Microbiology & Molecular Biology

Question 37 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 38 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 39 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 40 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 41 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 42 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 43 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is CORRECT?

Biochemistry, Microbiology & Molecular Biology

Question 45 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 46 from official GATE BT 2022 Examination.

Engineering Mathematics

Consider the ordinary differential equation 2 2( , ) 2dy f x y x ydx    . If (1) 1y  , the value(s) of (1.5)y , using the Euler's implicit method [y௡ାଵ = y௡ + ℎf(x௡ାଵ, y௡ାଵ)] with a step size of h = 0.5, is (are)

Biochemistry, Microbiology & Molecular Biology

Question 48 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Which of the following is(are) COMMON feature(s) for both aerobic and anaerobic bacterial cultures?

Biochemistry, Microbiology & Molecular Biology

Question 50 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 51 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Emerging viruses such as SARS-CoV2 cause epidemics. Which of the following process(es) contribute to the rise of such viruses?

Biochemistry, Microbiology & Molecular Biology

Question 53 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?

Biochemistry, Microbiology & Molecular Biology

Question 55 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

For 1 0x  and 2 0x  , the value of 1 2 1 2 1 2 2 lim ln x x x x xx x        is __________. .57 Figure below depicts simplified metabolic and transport reactions taking place in the production of B from A in a cell. The subscript ' i' refers to intracellular metabolites. rj is the jth reaction flux in ୥ (୥ ୢ୰୷ ୫ୟୱୱ) ୦. Under pseudo-steady-state condition, the following reaction fluxes are available. r1 = 4, r3 = 1 and r6 = 1. The transport flux of B, r4, is _____________ ୥ (୥ ୢ୰୷ ୫ୟୱୱ) ୦.

Biochemistry, Microbiology & Molecular Biology

Question 57 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

The amount of biomass in a reactor at the end of the batch process is 50 g. Fed- batch operation is initiated by feeding the substrate solution at a constant rate of 1 L h -1. The concentration of substrate in the feed is 50 g L -1. The maximum biomass yield (Y௑ௌ ெ) is 0.4 ୥ ୠ୧୭୫ୟୱୱ ୥ ୱ୳ୠୱ୲୰ୟ୲ୣ. Assuming the system is at quasi-steady state, the maximum amount of biomass after 5 h of feeding is _____________ g. .59 An enzyme catalyzes the conversion of substrate A into product B. The rate equation for this reaction is 5 A A A Cr C   mol L-1 min-1 Substrate A at an initial concentration of 10 mol L -1 enters an ideal mixed flow reactor (MFR) at a flow rate of 10 L min-1. The volume of the MFR required for 50% conversion of substrate to product is ___________ L.

Biochemistry, Microbiology & Molecular Biology

Question 59 from official GATE BT 2022 Examination.

Bioprocess Engineering

Liquid-phase mass transfer coefficient ( kL) is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is measured. The bulk concentration of O 2 is 10 -4 mol L -1. Solubility of O 2 in water at 25 ˚C is 10-3 mol L-1. If the oxygen consumption rate is 9×10 -4 mol L -1 s-1, and interfacial area is 100 m2/m3, the value of kL is __________cm s-1. .61 Consider a piston-cylinder assembly shown in the figure below. The walls of the cylinder are insulated. The cylinder contains 1 mole of an ideal gas at 300 K and the piston is held initially at the position z 1 using a stopper. After the stopper is removed, the piston suddenly rises against atmospheric pressure (1.013×10 5 Pa) to the new position z2 where it is held by another stopper. The heat capacity (Cv) of the gas is 12.5 J mol -1 K-1. The cross-sectional area of the cylinder is 10-3 m2. Assume the piston is weightless and frictionless. If zଶ - zଵ = 1 m, the final temperature of the gas (rounded off to nearest integer) is ___________K. .62 Consider the growth of S. cerevisiae under aerobic condition in a bioreactor and the specific growth rate of yeast is 0.5 h-1. The overall reaction of the process is 2C6H12O6 +0.2NH3+10.35O2  CH1.8O0.5N0.2+0.2C2H6O+10.6CO2+10.8H2O The heat of combustion values for different compounds are tabulated below with the reference to CO2, H2O, O2, and N2 at standard conditions. Compound Heat of combustion (kJ mol-1) C6H12O6 2802 NH3 383 CH1.8O0.5N0.2 560 C2H6O 1366 The specific rate of heat production (rounded off to nearest integer) is _____________ kJ mol-1 h-1. .63 A pilot sterilization was carried out in a vessel containing 100 m 3 medium with an initial spore concentration of 10 8 spores/ml. The accepted level of contamination after sterilization is 1 spore in the entire vessel. The specific death rate constant for the spore is 2 min -1 at 121 ˚C. Assuming no death takes place during the heating and cooling cycles, the holding time at 121 ˚C (rounded off to nearest integer) is _____________min.

Biochemistry, Microbiology & Molecular Biology

Question 61 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 62 from official GATE BT 2022 Examination.

Biochemistry, Microbiology & Molecular Biology

Question 63 from official GATE BT 2022 Examination.

Recombinant DNA Technology

A circular plasmid has three different but unique restriction sites for enzymes 'a', 'b' and 'c.' When enzymes 'a' and 'b' are used together, two fragments of equal size are generated. Enzyme 'c' creates fragments of equal size only from one of the fragments generated by those cleaved by 'a' and 'b'. The plasmid is treated with a mixture of 'a', 'b' and 'c' and analysed by agarose gel electrophoresis. The number of bands observed in the gel is __________.

Biochemistry, Microbiology & Molecular Biology

A bacterial strain is grown in nutrient medium at 37 ˚C under aerobic conditions. The medium is inoculated with 10 2 cells from a seed culture. If the number of cells in the culture is 105 after 10 hours of growth, the doubling time of the strain (rounded off to nearest integer) is ____________h. END OF THE QUESTION PAPER