GATE BT 2017 Question Paper & Solutions

Bioenergetics and Metabolism

An enzyme catalyzes a reaction by

Biomolecules, enzyme kinetics

Natural proteins are composed primarily of 20 a-amino acids. Which one of the following statements is true for any of these amino acids in a solution of pH 1.5?

Biomolecules, enzyme kinetics

Which one of the following organisms is an indicator of fecal contamination?

Biomolecules, enzyme kinetics

meter is The surface area (in m?) of the largest sphere that can fit into a hollow cube with edges of length 1 Given data: n = 3.14

Downstream processing (chromatography, filtration)

In a thin layer chromatography experiment using a silica gel plate, a compound showed migration of 12.5 cm and the solvent front showed migration of 18 cm. The Re value for the compound is _

Calculus

lim x→0 sin(x) is

Cell structure and signaling

Which one of the following mechanisms is used by human pathogens to evade host immune responses?

Biomolecules, enzyme kinetics

If the nucleotide composition (%) of a viral genome is A = 10, U = 20, C = 40, and G = 30, which one of the following is this genome?

Biomolecules, enzyme kinetics

Which one of the following techniques can be used to determine the structure of a 15 kDa globular protein at atomic resolution?

Downstream processing (chromatography, filtration)

Assertion [a]: Gram negative bacteria show staining with saffranin. Reason [r]: Gram negative bacteria have an outer membrane with lipopolysaccharides.

Biomolecules, enzyme kinetics

The plant hormone indole-3-acetic acid is derived from

Downstream processing (chromatography, filtration)

Enzyme-linked immunosorbent assay (ELISA) is used for

Cell structure and signaling

Macrophages eliminate pathogenic bacteria upon activation by

Mass transfer in bioprocesses (kLa)

If a protein contains four cysteine residues, the number of different ways they can simultaneously form two intra-molecular disulphide bonds is

DNA replication, transcription, translation

Secretory proteins synthesized by ER-associated ribosomes traverse through

Differential Equations

For y = f(x), ifd-2 = 0r ax , dy = 0 at x = 0, and y = 1 at x =1, the value of y at x = 2 is

Mass transfer in bioprocesses (kLa)

During protein synthesis, tRNAs are NOT involved in

Cell structure and signaling

In eukaryotes, cytokinesis is inhibited by

Recombinant DNA technology

A proto-oncogene is suspected to have undergone duplication in a certain type of cancer. Of the following techniques, which one would verify the gene duplication?

Recombinant DNA technology

A polymerase chain reaction (PCR) was set up with the following reagents: DNA template, Taq polymerase, buffer, dNTPs, and Mg*. Which one of the following is missing in the reaction mixture?

Biomolecules, enzyme kinetics

An enzymatic reaction exhibits Michaelis-Menten kinetics. For this reaction, on doubling the concentration of enzyme while maintaining [S] >> [Eo].

Bioreactor types, scale-up

A 5 liter chemostat is fed fresh medium at 0.2 liters/minute having a substrate concentration of 25 grams/liter. At steady state, the outgoing stream has substrate concentration of 2.5 grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is

Probability and Statistics

The transcription factor X binds a 10 base pair DNA stretch. In the DNA of an organism, X was found to bind at 20 distinct sites. An analysis of these 20 binding sites showed the following distribution: Base Position in the binding site 1 4 5 6 7 9 10 A 11 0 0 16 2 4 4 T 3 3 19 0 1 4 20 2 4 G 4 20 0 2 4 6 12 2 2 0 20 1 11 6 2 11 What is the consensus sequence for the binding site of X?

Biomolecules, enzyme kinetics

A bacterium has a genome of size 6 million base pairs. If the average rate of DNA synthesis is 1000 base pairs/second, the time taken (in minutes) for replication of the genome will be

Mass transfer in bioprocesses (kLa)

At the transcription start site of a gene, any of the four nucleotides can occur with equal probability P. The Shannon Entropy S, given by S = - Lf 1 Piln pi, for this start site is Given data: 1n(2) = 0.69

Downstream processing (chromatography, filtration)

Which of the following descriptions best represents the kinetics of protein precipitation during salting-out with ammonium sulfate (Cohn equation)?

Probability and Statistics

The distribution of marks scored by a large class in an exam can be represented as a normal distribution with mean u and standard deviation o. In a follow-up exam in the same class, everyone scored 5 marks more than their respective score in the earlier exam. For this follow-up exam, the distribution of marks can be represented as a normal distribution with mean j2 and standard deviation 02. Which one of the following is correct?

Biomolecules, enzyme kinetics

The angle (in degrees) between the vectors * = i - ^ + 2k and ỷ = 2î - j - 1.5k is

Downstream processing (chromatography, filtration)

Match the proteins in Group I with cellular processes in Group II Group I Group II P. p53 1. DNA packaging Q. Lysozyme 2. Apoptosis R. Tubulins 3. Hydrolysis of polysaccharides S. Histones 4. Chromosome segregation

Biomolecules, enzyme kinetics

The circular dichroism spectra of three proteins P, Q. and R are given below: P Q R 0 0 -20 -20 -20 Molar ellipticity ( Kdeg cm l dmol* ) 200 210 220 230 240 250 Wavelength (nm) Molar ellipticity ( Kdeg cm' dmol dmol1) 200 210 220 230 240 250 200 210 220 230 240 250 Wavelength (nm) Wavelength (nm) Choose the correct combination.

Mass transfer in bioprocesses (kLa)

Match the organisms in Column I with the characteristics in Column II Column I Column Il P. Methanococcus 1. Halophile Q. Dunaliella 2. Acidophile R. Sulfolobus 3. Mesophile S. Escherichia 4. Barophile

Biomolecules, enzyme kinetics

Which one of the following amino acids has three ionizable groups?

Biomolecules, enzyme kinetics

Consider an infinite number of cylinders. The first cylinder has a radius of 1 meter and height of 1 meter. The second one has a radius of 0.5 meter and height of 0.5 meter. Every subsequent cylinder has half the radius and half the height of the preceding cylinder. The sum of the volumes (in cubic meters) of these infinite number of cylinders is _ Given data: n = 3.14.

Biomolecules, enzyme kinetics

The concentration (in micromolar) of NADH in a solution with A340 = 0.50 is Given data: Path length = 1 cm; Molar extinction coefficient of NADH &340 = 6220 M-'cm'

Downstream processing (chromatography, filtration)

The specific activity of an enzyme in a crude extract of E. coli is 9.5 units/mg of protein. The specific activity increased to 68 units/mg of protein upon ion-exchange chromatography. The fold purification is

Mass transfer in bioprocesses (kLa)

Which one of the following organisms is responsible for crown gall disease in plants?

Linear Algebra

The value of c for which the following system of linear equations has an infinite number of solutions is 30=4

Biomolecules, enzyme kinetics

Match the plant hormones in Column I with functions in Column II Column I Column Il P. Gibberellic acid 1. Seed and bud dormancy Q. Zeatin 2. Fruit ripening R. Ethylene 3. Delaying leaf senescence S. Abscisic acid 4. Regulation of plant height

Mass transfer in bioprocesses (kLa)

For an E. coli culture in the exponential phase of growth, optical density (OD) at 540 nm is 0.3 at 2 hours and 0.6 at 4 hours. Assuming that the measured OD is linearly proportional to the number of E. coli cells, the growth rate (per hour) for this culture is

Mass transfer in bioprocesses (kLa)

An immunocompetent person becomes infected with a pathogenic strain of bacteria. The time course of bacterial clearance by adaptive immune response typically shows:

Cell structure and signaling

The genome is diploid at the end of which phases of a human mitotic cell cycle?

Downstream processing (chromatography, filtration)

A recombinant protein is to be expressed under the control of the lac promoter and operator in a strain of E. coli having the genotype lacT crp. Even in the absence of inducer IPTG, low levels of expression of the recombinant protein are seen (leaky expression). Which one of the following should be done to minimize such leaky expression?

Recombinant DNA technology

Shown below is a plasmid vector (P) and an insert (Q). The insert was cloned into the BamHI site of the vector. The recombinant plasmid was isolated and digested with BamHI or Xhol. The results from the digestion experiments are shown in (R). BamHi DNA ladder BamHI thai 6 kb 5 kb 5 kb plasmid vector BamHI Xhol BamHI| 4 kb Q.3 kb 1 3 kb 1 kb insert 2 kb 1 kb ECORI Q R Which one of the following explains the digestion results shown in (R)?

Recombinant DNA technology

Which one of the following CANNOT be a recognition sequence for a Type II restriction enzyme?

Probability and Statistics

A pedigree of an inheritable disease is shown below. Unaffected female Unaffected male Affected female Affected male This inheritable disease is

Biomolecules, enzyme kinetics

If the chemical composition of proteins in an organism is CHi sOoNo.3.So.004, the mass percentage of carbon in the proteins is Given data: Atomic weights (Da) of C = 12, H = 1, O = 16, N = 14, and S = 32.

Biomolecules, enzyme kinetics

For the probability density P(x) = 0.5e -0.5x , the integral jo° P(x)dx =_

Microbial growth kinetics

Growth of a microbe in a test tube is modeled as dX/dt = rX(1 - X/K), where r is the specific growth rate and K is the carrying capacity. The phase-plane trajectory of growth rate (dX/dt) versus population X is:

Biomolecules, enzyme kinetics

A zero-order liquid phase reaction A → B is being carried out in a batch reactor with k = 103 mol/min. If the starting concentration of A is 0.1 moles/liter, the time (in minutes) taken by the system before A is exhausted in a 100 liter reactor is

Biomolecules, enzyme kinetics

The interaction energy E between two spherical colloidal particles as plotted against separation distance r according to DLVO theory displays:

Mass transfer in bioprocesses (kLa)

EcoRI restriction sites on a 10kb DNA fragment are shown below. Okb 2kb 4kb 7kb 10kb Upon partial digestion, what are the lengths (in kb) of all the possible DNA fragments obtained?

Biomolecules, enzyme kinetics

A DNA strand of length 25 mm wraps diametrically around the circumference of a spherical histone-octamer once. The radius (nm) of the histone-octamer is Given data: n = 3.14

Biomolecules, enzyme kinetics

One hundred E. coli cells are each infected by a single ^ phage particle. The ratio of the number of phage particles committing to lysogeny to those committing to lysis is 4:1. Assuming that the average burst size is 80, the number of free phage particles released after one round of infection is _

Bioreactor types, scale-up

During anaerobic growth, an organism converts glucose (P) into biomass (Q). ethanol (R), acetaldehyde (S), and glycerol (T). Every mole of carbon present in glucose gets distributed among the products as follows: 1 (C-mole P) → 0.14 (C-mole Q) + 0.25 (C-mole R) + 0.3 (C-mole S) + 0.31 (C-mole T) From 1800 grams of glucose fed to the organism, the ethanol produced (in grams) is _ Given data: Atomic weights (Da) of C = 12, H = 1, 0 = 16, and N = 14

Cell structure and signaling

Which of the following conditions promote the development of human autoimmune disorders? P. Inability to eliminate self-reactive lymphocytes Q. Generation of auto-antibodies R. Ability to eliminate self-reactive T-cells S. Induction of regulatory T-cells in the thymus

Verbal Aptitude

She has a sharp tongue and it can occasionally turn

Verbal Aptitude

I _______ made arrangements had I _______ informed earlier.

Quantitative Aptitude

In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases by 20%. while other consumption increases by 70%. Which of the following statements is correct?

Quantitative Aptitude

40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is

Verbal Aptitude

Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences? i. At least one bench is a table 11. At least one shelf is a bench 111. At least one chair is a table iv. All benches are chairs

Verbal Aptitude

"If you are looking for a history of India, or for an account of the rise and fall of the British Raj. or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections. and ultimately on Asia, you will not find it in these pages: for though I have spent a lifetime in the country. I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters" Here, the word 'antagonistic' is closest in meaning to

Analytical & Spatial Aptitude

S. T. U, V. W. X. Y, and Z are seated around a circular table. T's neighbours are Y and V. Z is seated third to the left of T and second to the right of S. U's neighbours are S and Y; and T and W are not seated opposite each other. Who is third to the left of V?

Analytical & Spatial Aptitude

Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternately, what is the maximum number of vehicles that can use the bridge in one hour?

Quantitative Aptitude

There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?

Verbal Aptitude

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. 425 450 550 550 500. — 475 The path from P to Q is best described by