The GATE Grind

GATE 2022 BT – Previous Year Questions with Solutions

All 65 questions of GATE 2022 BT with answers and explanations. Read each question, then practise it by topic or as a full paper.

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  1. Question 1 (1 mark, Multiple choice) – You should when to say .
  2. Question 2 (1 mark, Multiple choice) – Two straight lines pass through (0,0) and respectively (1,3) and (1,2). What is the area enclosed between them for x[0,1]?
  3. Question 3 (1 mark, Multiple choice) – If p:q=1:2, q:r=4:3, r:s=4:5 and u is 50% more than s, what is p:u?
  4. Question 4 (1 mark, Multiple choice) – Given the statements: • P is the sister of Q. • Q is the husband of R. • R is the mother of S. • T is the husband of P. Based on the above…
  5. Question 5 (1 mark, Multiple choice) – In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of…
  6. Question 6 (2 marks, Multiple choice) – 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,…
  7. Question 7 (2 marks, Multiple choice) – P invests ₹5000 per month for 6 months and Q invests ₹x per month for 8 months. Profit follows total annual investment. Q receives 4/9 of the profit.…
  8. Question 8 (2 marks, Multiple choice) – The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one…
  9. Question 9 (2 marks, Multiple choice) – In the square grid shown on the left, a person standing at P2 position is required to move to P5 position. The only movement allowed for a step…
  10. Question 10 (2 marks, Multiple choice) – Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior…
  11. Question 11 (1 mark, Multiple choice) – What is the order of the differential equation d2y/dx2-6x=3x4-2x3+2?
  12. Question 12 (1 mark, Multiple choice) – If eigenvalues of a 22 matrix P are 4 and 2, the eigenvalues of P-1 are
  13. Question 13 (1 mark, Multiple choice) – For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are 100 and 200 W m-2 K-1, respectively. The thickness and thermal…
  14. Question 14 (1 mark, Multiple choice) – Match the media component (Column I) with its role (Column II). Column I Column II --- --- P. Sucrose 1. Anti-foam agent Q. Zinc chloride 2. Nitrogen…
  15. Question 15 (1 mark, Multiple choice) – The binding free energy of a ligand to its receptor protein is −11.5 kJ mol-1 at 300 K. What is the value of the equilibrium binding constant? Use R =…
  16. Question 16 (1 mark, Multiple choice) – The overall stoichiometry is 3C 6H 12O 6+2.5NH 3+O 21.5C aH bO cN d+3CO 2+5H 2O. What is the biomass elemental formula?
  17. Question 17 (1 mark, Multiple choice) – In binomial nomenclature, the name of a bacterial strain is written with the first letter of word(s) being capitalized.
  18. Question 18 (1 mark, Multiple choice) – The type of nucleic acid present in λ−phage is
  19. Question 19 (1 mark, Multiple choice) – Which of the following statements about reversible enzyme inhibitors are CORRECT? P. Uncompetitive inhibitors bind only to the enzyme-substrate…
  20. Question 20 (1 mark, Multiple choice) – Match the component of eukaryotic cells (Column I) with its respective function (Column II). Column I Column II --- --- P. Lysosome 1. Digestion of…
  21. Question 21 (1 mark, Multiple choice) – In animal cells, the endogenously produced miRNAs silence gene expression by
  22. Question 22 (1 mark, Multiple choice) – Terpenoids are made of units
  23. Question 23 (1 mark, Multiple choice) – Match the microbial product (Column I) with its respective application (Column II). Column I Column II --- --- P. Methane 1. Biosurfactant Q.…
  24. Question 24 (1 mark, Multiple choice) – Which of the following is NOT used for generating an optimal alignment of two nucleotide sequences?
  25. Question 25 (1 mark, Multiple choice) – The recognition sequences of four Type-II restriction enzymes (RE) are given below. The symbol (↓) indicates the cleavage site. Identify the RE that…
  26. Question 26 (1 mark, Multiple choice) – Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of…
  27. Question 27 (1 mark, Numerical answer) – Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an…
  28. Question 28 (1 mark, Numerical answer) – A batch culture has apparent yield 0.5 g biomass/g substrate and initial biomass and glucose concentrations 2 g/L and 200 g/L. With no endogenous…
  29. Question 29 (1 mark, Numerical answer) – The degree of reduction of lactic acid (C3H6O3) is .
  30. Question 30 (1 mark, Numerical answer) – For x x+x-1=0, use Newton–Raphson with x 0=3. The value after one iteration (one decimal place) is .
  31. Question 31 (1 mark, Numerical answer) – A random variable has density p(x)=2e-2x. The probability P(1 X2) (two decimal places) is .
  32. Question 32 (1 mark, Numerical answer) – The maximum of f(x)=3x2-x3 for x>0 is .
  33. Question 33 (1 mark, Numerical answer) – The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is h-1.
  34. Question 34 (1 mark, Numerical answer) – A broth has density 1000\ kg/m3 and viscosity 10-3\ kg\ m-1s-1. A 100 L fermenter uses a 0.1 m impeller at 2\ s-1. The impeller Reynolds number is .
  35. Question 35 (1 mark, Numerical answer) – The melting-line slope at −2°C is -5.0665106\ Pa/K and liquid-minus-solid molar volume is -4.510-6\ m3/mol. The latent heat of fusion (J/mol, nearest…
  36. Question 36 (2 marks, Multiple choice) – 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.…
  37. Question 37 (2 marks, Multiple choice) – Match the media component used in mammalian cell culture (Column I) with its respective role (Column II). Column I Column II --- --- P. Hydrocortisone…
  38. Question 38 (2 marks, Multiple choice) – Match the cell type (Column I) with its function (Column II). Column I Column II --- --- P. B cells 1. Humoral immunity Q. Neutrophils 2. Cytotoxicity…
  39. Question 39 (2 marks, Multiple choice) – A 22 matrix P has eigenvalue 2 with eigenvector (1,0)T and eigenvalue 5 with eigenvector (1,1)T. What is P?
  40. Question 40 (2 marks, Multiple choice) – Match the stationary phase (Column I) with its corresponding chromatography technique (Column II). Column I Column II --- --- P. Protein A 1. Size…
  41. Question 41 (2 marks, Multiple choice) – Which of the following statements are CORRECT for a controller? P. In a proportional controller, a control action is proportional to the error Q. In…
  42. Question 42 (2 marks, Multiple choice) – Which of the following are CORRECT about protein structure? P. Secondary structure is formed by a repeating pattern of interactions among the…
  43. Question 43 (2 marks, Multiple choice) – The enzymes involved in ubiquitinylation of cell-cycle proteins are
  44. Question 44 (2 marks, Multiple choice) – 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…
  45. Question 45 (2 marks, Multiple choice) – Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food? P. Infrared…
  46. Question 46 (2 marks, Multiple choice) – Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a DNA base pair mismatch. The CORRECT combination of enzymes that are…
  47. Question 47 (2 marks, Multiple select) – For dy/dx=2x2-y2, y(1)=1. With implicit Euler y n+1=y n+hf(x n+1,y n+1) and h=0.5, the value(s) of y(1.5) is (are)
  48. Question 48 (2 marks, Multiple select) – Which of the following statements are CORRECT for an enzyme entrapped in a spherical particle?
  49. Question 49 (2 marks, Multiple select) – Which of the following is(are) COMMON feature(s) for both aerobic and anaerobic bacterial cultures?
  50. Question 50 (2 marks, Multiple select) – Which plots are correct for Michaelis–Menten kinetics at [S] K m, where S is substrate concentration and v 0 is initial reaction velocity?
  51. Question 51 (2 marks, Multiple select) – Which of the following statement(s) is(are) CORRECT regarding the lac operon in E. coli when grown in the presence of glucose and lactose?
  52. Question 52 (2 marks, Multiple select) – Emerging viruses such as SARS-CoV2 cause epidemics. Which of the following process(es) contribute to the rise of such viruses?
  53. Question 53 (2 marks, Multiple select) – Introduction of foreign genes into plant cells can be carried out using
  54. Question 54 (2 marks, Multiple select) – Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?
  55. Question 55 (2 marks, Numerical answer) – X has mean 0.1 and variance 0.2. If Y=2X+1, the variance of Y (one decimal place) is .
  56. Question 56 (2 marks, Numerical answer) – For x 1,x 2>0, the value of x 1 x 2(x 1-x 2)/[x 2(x 1/x 2)] is .
  57. Question 57 (2 marks, Numerical answer) – The diagram depicts production of B from A in a cell. Subscript i denotes intracellular metabolites and r j is flux in g/(g dry mass h). At…
  58. Question 58 (2 marks, Numerical answer) – A batch ends with 50 g biomass. Fed-batch feeding is 1 L/h of 50 g/L substrate, with maximum yield 0.4 g/g. Under quasi-steady conditions, maximum…
  59. Question 59 (2 marks, Numerical answer) – An enzyme converts A to B with -r A=C A/(5+C A) mol/(L min). Feed containing 10 mol/L A enters an ideal MFR at 10 L/min. Volume for 50% conversion is…
  60. Question 60 (2 marks, Numerical answer) – Oxygen bulk and saturation concentrations are 10-4 and 10-3 mol/L, uptake is 910-4 mol/(L s), and interfacial area is 100\ m2/m3. The steady liquid…
  61. Question 61 (2 marks, Numerical answer) – An insulated cylinder contains 1 mol ideal gas at 300 K. A weightless frictionless piston suddenly rises by 1 m against atmospheric pressure 1.013105…
  62. Question 62 (2 marks, Numerical answer) – Aerobic yeast has growth rate 0.5\ h-1 and stoichiometry 2C 6H 12O 6+0.2NH 3+10.35O 2 CH 1.8O 0.5N 0.2+0.2C 2H 6O+10.6CO 2+10.8H 2O. Combustion heats…
  63. Question 63 (2 marks, Numerical answer) – A 100 m³ medium initially contains 108 spores/mL. The accepted final contamination is one spore in the vessel and death constant is 2\ min-1 at 121°C.…
  64. Question 64 (2 marks, Numerical answer) – 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…
  65. Question 65 (2 marks, Numerical answer) – An aerobic bacterial culture at 37°C starts with 102 cells and reaches 105 after 10 h. The doubling time (nearest integer h) is .