GATE 1

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GATE 1

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Page 1: GATE 1

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Q. No. 1 – 25 Carry One Mark Each

1. If A is an n-row square matrix of rank (n-1), then

(A) adj A 0= (B) adj A 0≠ (C) nadj A I= (D) None of these

2. The following Newton-Raphson iteration formula can be used to solve the equation

( )

nn 1

n

X 3X

2 2X+

⎛ ⎞= +⎜ ⎟⎝ ⎠

(A) 2X 3= (B) 3X 3= (C) 2X 2= (D) 3X 2=

3. While setting up a complement fixation test, the order in which the reagents have to be added is ________. (Where, Ag-antigen, Ab-antibody, C-complement, and EI- antibody coated indicator system)

(A) Ag + EI + Ab / incubation + C (B) Ab + Ag / Incubation + EI + C

(C) Ag + Ab + C / Incubation + EI (D) Ag + Ab / Incubation + EI + C

4. The cross of F1 generation, exclusively with a recessive parent is called

(A) Hybridization (B) Crossing (C) Test cross (D) Multihybrid cross

5. Which of the following is the physical component of the biosensor?

(A) Analyte (B) Enzyme (C) Processor (D) Active surface

6. While working with animal cell lines, a cell line may be contaminated with another cell line and this is called as

(A) Mixed cell culture (B) Mess up of cultures

(C) Cross contamination (D) Miss contamination

7. Comparative genome hybridization is used in

(A) Tumor classification (B) Drug development

(C) Tracking disease progression (D) None of these

8. A restriction enzyme, which recognizes a slightly different sequence, but produces the same ends in products are termed as

(A) Isoschizomers (B) Isocaudomers

(C) Neocaudomers (D) Neoschizomers

9. Which of the following compound is used as precursor for penicillin-G biosynthesis in fermentation process?

(A) Acetic acid (B) Phenyl acetic acid

(C) Phenoxy acetic acid (D) None of these

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10. Which of the following hormone is isolated from human urine by Kogl, in 1936? (A) IAA (B) Kinetin (C) Cytokinin (D) Auxin A 11. Which of the following reagent is used to immobilize enzymes by cross-linking

method? (A) Diazobenzidine (B) DEAE cellulose (C) Diazonium – chloride (D) None of these 12. Which of the following microorganism is used for the production of biopet- A? (A) Pseudomonas oleovorans (B) Ralstonia entropha (C) Strains of E.coli (D) Mortierella circinelloides 13. Polyhydroxy butyrate is (A) Non-degradable in nature (B) Biodegradable in nature (C) Polyester with 3 – hydroxyl butyrate as repeating unit (D) Both (B) & (C) 14. Which of following antibiotic has the ability to damage cell membrane structure? (A) Nebcin (B) Nystatin (C) Gemifloxacin (D) Kantrex 15. IgE is also called as (A) Reacting Antibody (B) Short antibody (C) Reaction antibody (D) Reagenic antibody 16. The number of calories required to change 1gm of liquid into vapour is known as (A) Heat capacity (B) Latent heat of evaporation (C) Expansion before freezing (D) None of these 17. Which of the following phase is known as “post mitotic gap phase”? (A) 1G phase− (B) S- Phase (C) 2G phase− (D) None of these

18. Which of the following enzyme is the “first cell free enzyme preparation”? (A) Pepsin (B) Trypsin (C) Zymase (D) Trypsinogen 19. Power requirement for laminar flow is independent of (A) Density of fluid (B) Fluid viscosity (C) Reynolds’s number (D) Both (B) & (C) 20. Which of the following receptor activates Ras proteins that provide a critical link

in the intracellular signaling cascades? (A) Tyrosine kinase & guanyl cyclase (B) Serine / Threonine receptors (C) Tyrosine kinase (D) Tyrosine phosphate

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Q.No. 21 to 25 are Numerical Answer Type Questions and Carry One Mark Each. Enter a number as the answer using virtual keyboard.

21. The median of 0,2,2,2, 3,5, 1,5,5, 3,6,6,5,6− − − is __________.

22. The probability of getting exactly 2 tails in 6 tosses of a fair coin is________.

23. For positive numbers x, y, z the numerical value of the determinant

x x

y y

z z

1 log y log z

log x 1 log z

log x log y 1

is given by ____________.

24. Transposon Tn10 is 9300 bp in length, with ______ bp inverted repeats at its

ends.

25. In the entire genome ______% makes up protein – coding DNA and the rest constitutes junk DNA.

Q. No. 26 – 51 Carry Two Marks Each Q.No. 26 to 30 are Numerical Answer Type Questions and Carry Two Marks Each. Enter a number as the answer using virtual keyboard.

26. A microorganism doubles its population in 0.5h. If the initial cell count is 256cell/ml, the cell count after 2 hours would be________.

27. If the rate of product formed is 10mg/L and the rate of substrate consumed is 20mg/L, then the product yield will be _________.

28. Given ( ) ( ) ( ) ( )3 1 1P B ,P A B C and P A B C . P B C ________

4 3 3= ∩ ∩ = ∩ ∩ = ∩

29. IgG4 abundance in serum is _____ %.

30. CM-cellulose column is used to separate 6-phosphogluconate dehydrogenase at

pH buffer value below ________.

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31. Evaluate 2t

0

te sin tdt.∞

−∫

(A) 125

(B) 425

(C) 3

16 (D)

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32. The system of equations 5x 3y 7z 4, 3x 26y 2z 9, 7x 2y 10z 5+ + = + + = + + = has

(A) A unique solution (B) No solution

(C) An infinite number of solutions (D) None of these

33. Match the following list-I (Pliody states) with list-II (Chromosomal number).

List – I List – II

(P) Monosomy (1) 2n+1

(Q) Nullisomy (2) 2n-1

(R) Trisomy (3) 2n-2

(S) Tetrasomy (4) 2n+2

(A) P-2, Q-3, R-1, S-4 (B) P-1, Q-4, R-2, S-3

(C) P-3, Q-2, R-1, S-4 (D) P-4, Q-1, R-2, S-3

34. Which of the following cell surface receptor is required for anti-viral immunity?

(A) IL-2 receptor (B) IL – 4 receptor

(C) TNF - α receptor (D) Interferes - /α β receptor

35. Match the following List – I (Microorganisms) with List – II (Chemical pollutants).

List – I List – II

(P) Aspergillums sp (1) Polycyclic hydrocarbons

(Q) Pseudomonas sp (2) Phenols

(R) Xanthomonas (3) Halogenated hydrocarbons

(S) Streptomyces sp (4) Aliphatic & aromatic hydrocarbons

(A) P-2, Q-4, R-1, S-3 (B) P-4, Q-3, R-2, S-1

(C) P-2, Q-3, R-4, S-1 (D) P-3, Q-2, R-1, S-4

36. Match the following list-I with list-II.

List – I List – II

(P) Indole – 3- acetic acid (1) Synthetic cytokine

(Q) 6-furfurylaminopurine (2) Antiauxin

(R) NPA (3) Antigillerellin

(S) AMO-1618 (4) Natural auxin

(A) P-4, Q-1, R-2, S-3 (B) P-4, Q-3, R-2, S-1

(C) P-2, Q-1, R-4, S-3 (D) P-3, Q-2, R-4, S-1

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37. In laminar region, power is related to Reynolds’s number as

(A) 11 0Re K P+= (B) 1

0 1P k Re−= (C) 10 1P k Re−= (D) 1

0Re k P−=

38. Agitation is required in a bioreactor to

(A) Disperse the immiscible liquids present

(B) Suspend the microorganisms and solid nutrients

(C) Obtain a uniform temperature and nutrient concentration throughout the vessel

(D) All of these

39. Which of the following statements, point out the differences in cell culture invitro

to invivo? A. The cell lack cell – cell interaction and have cell – matrix interaction B. Cell easily attain the three – dimensional architectural appearance invitro C. Changed hormonal and nutritional requirements D. Require supplementation of mitotic and cell – cell signaling factors E. Anchorage dependent cells require substrate for growth (A) A ; B; C (B) B; C; D; E (C) A ; D ; E (D) C; D; E 40. Auxin causes cell elongation by (A) Decreasing the permeability of cells to water (B) Reducing the wall pressure (C) By increasing the osmotic solutes of the cells (D) Both (B) & (C) 41. Match the following factors with their appropriate functions. List – I List – II P. Interleukin 6 (IL-6) 1 Promotes inflammatory responses Q. Interferon α (IFN-α ) 2 Kills some tumor cells R. Interleukin 1 (IL – 1) 3 Promotes innate immunity S. Tumor necrosis factor(TNF -α ) 4 Activates cellular genes (A) P-4, Q-2, R-3, S-1 (B) P-3, Q-4, R-1, S-2 (C) P-1, Q-3, R-2, S-4 (D) P-4, Q-3, R-1, S-2 42. Fully turbulent flow and laminar flow is found at Reynolds number of

(A) 610 ,1000 respectively (B) 610 ,100 respectively

(C) 410 ,1000 respectively (D) 410 ,100 respectively

43. The fraction of cells in a fully grown culture of animal cells that should be used to

start the subsequent culture is called ________. It determines the ______________ concentration at subculture.

(A) Division; final (B) Sorting; highest (C) Generation splitting; peak concentrations (D) Split ratio; seeding

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44. Match the following with list-I with list-II. List – I List – II

P. Helper Tcell ( )HT 1. Regulates immune response & helps in

maintaining immune tolerance

Q. Cytotoxic T cell ( )CT 2. Attacks antibody coated target cells

R. Suppressor Tcell ( )ST 3. Necessary for B cells activation

S. Killer cells 4. Destroys target cells on contact

(A) P-4, Q-3, R-2, S-1 (B) P-4, Q-2, R-1, S-3

(C) P-3, Q-1, R-2, S-4 (D) P-3, Q-4, R-1, S-2

45. The HAT medium used in hybridoma technology used for the growth of hybridomas consists of which of the following ingredients.

(A) Hypoxanthine, Aminoacids, thymine

(B) Hypoxanthine, Aminopterin, Thyroxine

(C) Hypoxanthine, Aminopterin, Thymidine

(D) Hypocyanine, Aminoacids and thyrinine

46. Polyhydroxy butyrate (PHB) is implanted in the human body without rejection as

(A) PHB degrades very slowly

(B) PHB does not produce any immune response

(C) PHB production occurs when there is an excess supply of carbon source and limitation of other essential nutrients such as nitrogen, phosphorus

(D) All of these

47. A gene cannot be isolated from a human genomic DNA library by functional complementation in E. coli because of

(A) Non-functional promoter (B) Coupled transcription and translation

(C) Absence of splicing machinery (D) Codon bias

Common Data Questions: 48 & 49

Promoters can differ in "strength"; that is, how actively they promote transcription of their adjacent DNA sequence.

48. In prokaryotes, the promoter consists of two short sequences at

(A) -10 and -35 position (B) 10 and -35 position

(C) -10 and TATA box position (D) -10 and 35 position

Promoters can differ in "strength"; that is, how actively they promote transcription of their adjacent DNA sequence.

49. A promoter is a regulatory region of DNA located towards

(A) Upstream 5’ region (B) Downstream 3’ region

(C) Upstream 3’ region (D) Downstream 5’ region

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Common Data Questions: 50 & 51

Fimbrae are protein tubes that extend out from the outer membrane in many members of the proteobacteria. They are generally short in length and present in high numbers about the entire bacterial cell surface.

50. An aggregate of microorganisms in which cells adhere to each other on a surface is known as

(A) Capsule (B) S-layer (C) Biofilm (D) All of these Fimbrae are protein tubes that extend out from the outer membrane in many

members of the proteobacteria. They are generally short in length and present in high numbers about the entire bacterial cell surface.

51. In cell, slime layer is used as (A) Cell wall (B) Food reservoir (C) Locomotory organ (D) Non-sex pili

Linked Answer Questions: Q.52 to Q.55 Carry Two Marks Each

Statement for Linked Answer Questions: 52 & 53 A study on blood types in a population found the following genotypic distribution

among the people sampled: 1100 were MM, 1500 were MN and 510 were NN. 52. Calculate the genotype frequencies for MM, MN and NN. (A) 0.482; 0.354 and 0.164 respectively (B) 0.162; 0.354 and 0.484 respectively (C) 0.354 ; 0.482 and 0.164 respectively (D) 0.4; 0.3 and 0.2 respectively A study on blood types in a population found the following genotypic distribution

among the people sampled: 1100 were MM, 1500 were MN and 510 were NN. 53. Determine allele frequencies for M and N from the genotype frequencies

obtained. (A) 0.4 and 0.6 (B) 0.354 and 0.596 (C) 0.596 and 0.404 (D) 0.6 and 0.4

Statement for Linked Answer Questions: 54 & 55

Consider, Pyruvate + NADH H++ Lactate + NAD+ .

54. 1M concentration of above reactant and product at pH 7, proceed the reaction towards

(A) Pyruvate production (B) Lactate formation (C) Reaction does not proceed (D) None of these

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Consider, Pyruvate + NADH H++ Lactate + NAD+ .

55. The standard free energy change 0GΔ at 025 C is

(A) -25kJ/mol (B) -70kJ/mol (C) -86kJ/mol (D) -29kJ/mol

Q. No. 56 – 60 Carry One Mark Each

56. In a class of 200 students, numbered 1 to 200, all odd numbered students take

up sports. Those whose numbers are divisible by 5, opt for music and those whose numbers have 4 as the last digit opt for theatre. How many opt for none of the three?

(A) 60 (B) 160 (C) 40 (D) 100

57. Which of the following options is most similar to the relationship between the two words presented in the question statement?

PROCTOR: SUPERVISE

(A) trafficker: control (B) pedagogue: instigate

(C) messiah :protect (D) infiltrator: distill

Directions for Question 58: The following question presents a sentence, which is underlined. Beneath the sentence, you will find four ways of phrasing the underlined part. The first of these repeats the original; the other three are different. If you think the original is best, choose the first answer; otherwise choose one of the others:

58. To capitalize on particular trends in a particular geography like sports, entertainment, and telecom and to develop fixed strategies, cyber fraudsters seem to be thinking beyond financial transactions.

(A) To capitalize on particular trends in a particular geography like sports, entertainment, and telecom and to develop fixed strategies, cyber fraudsters seem to be thinking beyond financial transactions.

(B) Cyber fraudsters seem to be thinking beyond financial transactions and are developing fixed strategies to capitalize on particular trends in a particular geography like sports, entertainment, and telecom.

(C) Cyber fraudsters seem to think beyond financial transactions and fixed strategies and develop and to capitalize on particular trends in a particular geography like sports, entertainment, and telecom.

(D) Like sports, entertainment, and telecom, cyber fraudsters seem to be thinking beyond financial transactions and are developing fixed strategies to capitalize on particular trends in a particular geography.

Directions for Question 59: Choose the answer key corresponding to the word with a meaning most nearly similar to the meaning of word in capital letters.

59. STOLID

(A) impassive (B) rigid (C) candid (D) explicit

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Directions for Question 60: The given sentence below has two blanks; each blank indicates that something has been omitted. Choose the word for each blank that best fits the meaning of the sentence as a whole:

60. While there are many experts who still hold to buy-and-hold strategy, others point to some of the more _______stock market crashes of the past as ______that investors can literally lose everything they had gained in a bull market to the impact of the bear market.

(A) unassuming----- foothold (B) unpredictable----- assets

(C) self-evident------ statistics (D) catastrophic ------- proof

Q. No. 61 – 65 Carry Two Marks Each

Directions for Question 61: In the question given below is given a statement followed by three assumptions numbered I, II, and III. You have to consider the statement and the following assumptions, and decide which of the assumptions is implicit in the statement and choose your answer accordingly.

61. Statement : Unable to manage with the present income Chaman lal has decided to venture into real estate business.

Assumptions : I. Real estate business is risk-free.

II. The present business he is in is not lucrative.

III. Real estate business offers high profits to all investors.

(A) Only II is implicit (B) Only II and III are implicit

(C) None is implicit (D) All are implicit

62. What is the value of {(8946+4357)2 + (8946 - 4357)2} / {(8946 *8946 + 4357

*4357)? (A) 1 (B) 2.6 (C) 1.5 (D) 2 63. Four persons A, B, C, D are given a task to complete. First A completes 36% of

the task in 12 days. B can complete the task twice as fast as A can. If C and D can complete the task twice as fast as B can, then approximately how many days, they will need to complete the remaining task, if all work together.

(A) 8 (B) 4 (C) 2 (D) 6

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Information for Q.N. 64

A company, which started in 2005, had its manufacturing and sales of electronic items ratios as given in the graph.

64. If in the year 2007, the number of items manufactured was 1250 and the total

sales in 2007 and 2008 together were 1600, then what was the number of items manufactured in 2008?

(A) 800 (B) 1000 (C) 600 (D) 900 65. There are 10 identical boxes in which a red or a blue color ball is to be placed.

Each box contains exactly one ball and at least 2 blue colored balls are to be placed in the boxes. All the boxes are then numbered such that all the blue colored boxes get consecutive numbers. What is the total possible ways of such numbering?

(A) 10 (B) 45 (C) 46 (D) 90

Ratio

2.00

1.50

1.00

0.50

0.002005 2006 2007 2008 2009 2010 2011

Ratio