The GATE Grind

GATE 2019 BT – Previous Year Questions with Solutions

All 65 questions of GATE 2019 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) – The fishermen, the flood victims owed their lives, were rewarded by the government.
  2. Question 2 (1 mark, Multiple choice) – Some students were not involved in the strike. If this is true, which conclusions are logically necessary? 1. Some who were involved in the strike…
  3. Question 3 (1 mark, Multiple choice) – The radius and height of a circular cone each increase by 10%. What is the percentage increase in volume?
  4. Question 4 (1 mark, Multiple choice) – Arrange 10,7,5,4,2 from left to right so that no two odd or even numbers are adjacent, the second is half the leftmost, and the middle is twice the…
  5. Question 5 (1 mark, Multiple choice) – Until Iran came along, India had never been in kabaddi.
  6. Question 6 (2 marks, Multiple choice) – After a 125-basis-point RBI repo-rate reduction over the last year, banks had demanded lower interest rates on small saving schemes. The government…
  7. Question 7 (2 marks, Multiple choice) – A country has population 1400 million, of whom 70% own mobile phones. Among phone owners, 294 million access the Internet; half of those buy goods…
  8. Question 8 (2 marks, Multiple choice) – Hindustani music terminology has changed over centuries. Medieval dhrupad styles were called baanis. Gayaki and baaj referred to vocal and…
  9. Question 9 (2 marks, Multiple choice) – Two trains leave the same point at 7 AM, one north at 80 km/h and the other south at 100 km/h. At what time are they 540 km apart?
  10. Question 10 (2 marks, Multiple choice) – “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…
  11. Question 11 (1 mark, Multiple choice) – The Bt-toxin gene from Bacillus thuringiensis used to generate genetically modified crops is
  12. Question 12 (1 mark, Multiple choice) – Which is used as a pH indicator in animal-cell culture medium?
  13. Question 13 (1 mark, Multiple choice) – Tetracycline inhibits
  14. Question 14 (1 mark, Multiple choice) – Which is a database of protein-sequence motifs?
  15. Question 15 (1 mark, Multiple choice) – Which enzyme is encoded by the HIV genome?
  16. Question 16 (1 mark, Multiple choice) – During which phase of the eukaryotic mitotic cell cycle does DNA synthesis occur?
  17. Question 17 (1 mark, Multiple choice) – Match diseases P amoebiasis, Q African sleeping sickness, R kala azar, S Chagas disease with agents 1 Leishmania donovani, 2 Trypanosoma cruzi, 3…
  18. Question 18 (1 mark, Multiple choice) – Which technique compares expression of many genes in two biological samples in a single experiment?
  19. Question 19 (1 mark, Multiple choice) – Which processes can increase bacterial genetic diversity in nature? P conjugation; Q transformation; R transduction; S transfection.
  20. Question 20 (1 mark, Multiple choice) – Which is NOT part of human nonspecific defence?
  21. Question 21 (1 mark, Multiple choice) – A mutation produces a variant polypeptide lacking the last three amino acids. What type of mutation is intended?
  22. Question 22 (1 mark, Multiple choice) – Which is a one-dimensional wave equation?
  23. Question 23 (1 mark, Multiple choice) – Which sequences are geometric? 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,…
  24. Question 24 (1 mark, Multiple choice) – For an enzyme-catalyzed reaction, which statement is CORRECT? ΔG is Gibbs free-energy change and Keq is equilibrium constant.
  25. Question 25 (1 mark, Multiple choice) – Which cannot be the limiting substrate in the standard Monod growth model?
  26. Question 26 (1 mark, Multiple choice) – Which is the unit of heat-transfer coefficient?
  27. Question 27 (1 mark, Multiple choice) – What is catabolized during endogenous metabolism in batch bacterial cultivation?
  28. Question 28 (1 mark, Multiple choice) – Which need NOT be conserved in a biochemical reaction?
  29. Question 29 (1 mark, Numerical answer) – How many possible rooted phylogenetic trees are there for three species?
  30. Question 30 (1 mark, Numerical answer) – For A=pmatrix0&6\&0pmatrix, find p that makes A skew-symmetric.
  31. Question 31 (1 mark, Numerical answer) – Evaluate x8(x2-64)/(x-8).
  32. Question 32 (1 mark, Numerical answer) – Find the median of 12,10,16,8,90,50,30,24.
  33. Question 33 (1 mark, Numerical answer) – Find the degree of reduction of acetic acid, C₂H₄O₂.
  34. Question 34 (1 mark, Numerical answer) – Find the mass of 1 kmol oxygen molecules in grams, nearest integer.
  35. Question 35 (1 mark, Numerical answer) – A crude enzyme preparation has protein concentration 10 mg/mL. A 10 μL aliquot gives activity 5 μmol/min under standard conditions. Find specific…
  36. Question 36 (2 marks, Multiple choice) – In general, which statement is NOT CORRECT?
  37. Question 37 (2 marks, Multiple choice) – In site-directed mutagenesis, which restriction enzyme digests methylated template DNA?
  38. Question 38 (2 marks, Multiple choice) – Match organelles P lysosome, Q smooth ER, R Golgi apparatus, S nucleolus with functions 1 foreign-substance digestion, 2 protein targeting, 3 lipid…
  39. Question 39 (2 marks, Multiple choice) – For a BLAST protein-database search, which statements are CORRECT? P larger E-value means higher sequence similarity; Q E<10-10 indicates sequence…
  40. Question 40 (2 marks, Multiple choice) – What is encoded by the ABO blood-group locus in the human genome?
  41. Question 41 (2 marks, Multiple choice) – Which factors affect DNA-polymerase fidelity in PCR? P Mg²⁺ concentration; Q pH; R annealing temperature.
  42. Question 42 (2 marks, Multiple choice) – Match methods P infrared, Q circular dichroism, R nuclear magnetic resonance with applications 1 functional-group identification, 2 secondary…
  43. Question 43 (2 marks, Multiple choice) – Hexapeptide P has pI 6.9. Variant Q replaces glutamate at position 3 with valine. They undergo polyacrylamide-gel electrophoresis at pH 8.0. Which is…
  44. Question 44 (2 marks, Multiple choice) – Antibody-producing hybridomas are formed by fusion of
  45. Question 45 (2 marks, Multiple choice) – Which fetal-bovine-serum functions in animal-cell culture are CORRECT? P stimulates growth; Q enhances attachment; R supplies hormones/minerals; S…
  46. Question 46 (2 marks, Multiple choice) – Which linkage joins 7-methylguanosine to eukaryotic mRNA?
  47. Question 47 (2 marks, Multiple choice) – Which amino acid destabilizes an α helix when inserted in its middle?
  48. Question 48 (2 marks, Multiple choice) – Solve dy/dx=x/y with y(0) = 1.
  49. Question 49 (2 marks, Multiple choice) – Find the Laplace transform of f(t)=t2+2t+1.
  50. Question 50 (2 marks, Multiple choice) – Which influence the lag phase of a batch microbial culture? P inoculum size; Q inoculum age; R medium composition.
  51. Question 51 (2 marks, Multiple choice) – Which proportional-controller statement is CORRECT?
  52. Question 52 (2 marks, Multiple choice) – Match instruments P manometer, Q rotameter, R tachometer, S haemocytometer to measurements 1 agitator speed, 2 pressure difference, 3 cell number, 4…
  53. Question 53 (2 marks, Multiple choice) – Which are ALWAYS CORRECT about an ideal chemostat? P internal substrate concentration equals exit concentration; Q optimal dilution is below critical…
  54. Question 54 (2 marks, Multiple choice) – Determine [a] A whole plant can be regenerated from a single plant cell; and [r] It is easier to introduce transgenes into plants than animals.
  55. Question 55 (2 marks, Numerical answer) – A UV-visible spectrophotometer detects absorbance down to 0.02. Protein molar extinction coefficient is 10000 L/(mol cm), and cuvette path is 1 cm.…
  56. Question 56 (2 marks, Numerical answer) – An uncharged solute has a 1.6-fold concentration difference across a membrane. Find energy for uphill active transport in cal/mol, nearest integer, at…
  57. Question 57 (2 marks, Numerical answer) – Purple pea flowers are dominant over white. A cross of two purple plants has produced a white offspring. What is the probability their third offspring…
  58. Question 58 (2 marks, Numerical answer) – A protein has molecular mass 22 kDa. Find the size of its coding cDNA, excluding untranslated regions, in kb to 1 decimal place.
  59. Question 59 (2 marks, Numerical answer) – Casino payout X in rupees has distribution: −100 with probability 0.25; 0 with 0.50; 100 with 0.20; 500 with 0.05. Find standard deviation in rupees,…
  60. Question 60 (2 marks, Numerical answer) – Approximate -11f(x)dx by the trapezoidal rule, to 2 decimals. Values: x = −1,−2/3,−1/3,0,1/3,2/3,1; f(x) = 0.37,0.51,0.71,1.00,1.40,1.95,2.71.
  61. Question 61 (2 marks, Numerical answer) – Yeast biomass C 6H 10O 3N grows on glucose as alignedC 6H 12O 6+0.48NH 3+3O 2\\0.48C 6H 10O 3N+3.12CO 2+4.32H 2O.aligned Find glucose needed in kg,…
  62. Question 62 (2 marks, Numerical answer) – Pseudomonas treats phenolic wastewater aerobically in chemostat mode. Influent and effluent phenol are 10000 and 10 ppm; feed is 80 L/h. μmax = 1 h⁻¹,…
  63. Question 63 (2 marks, Numerical answer) – In cross-flow filtration, pressure drop driving feed flow is 2 atm, inlet pressure 3 atm and filtrate pressure atmospheric (1 atm). Find average…
  64. Question 64 (2 marks, Numerical answer) – A fermentor holds 10000 L medium initially containing 10⁶ spores/mL. Desired contamination probability after sterilization is 10⁻³. Spore death…
  65. Question 65 (2 marks, Numerical answer) – A lab fermentor has volume 1 L, diameter 20 cm, agitator speed 600 rpm and impeller/fermentor diameter ratio 0.3. It is scaled to 8000 L at constant…