Previous Year Questions

QUESTION ID:2

As the police officer was found guilty of embezzlement, he was _______ dismissed from the service in accordance with the Service Rules.

Select the most appropriate option to complete the above sentence. 

QUESTION ID:3

The sum of the following infinite series is:

QUESTION ID:4

A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?

QUESTION ID:5

The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?

QUESTION ID:6

“Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns: they do not know why they do it; neither do I. It ought to be enough, surely, to drive the great broad ways which commerce needs and which are the life-channels of a modern city, without destroying all history and all the humanity in between: the islands of the past.”

                                                                                                                                                                                                                     (From Hilaire Belloc’s “The Crooked Streets”)

Based only on the information provided in the above passage, which one of the following statements is true? 

QUESTION ID:7

Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?

QUESTION ID:8

A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K).

Which one of the following options displays the color codes that are consistent with the color model?

QUESTION ID:9

A circle with center at (𝑥, 𝑦) = (0.5, 0) and radius = 0.5 intersects with another circle with center at (𝑥, 𝑦) = (1, 1) and radius = 1 at two points. One of the points of intersection (𝑥, 𝑦) is:

QUESTION ID:10

An object is said to have an 𝑛-fold rotational symmetry if the object, rotated by an angle of 2𝜋 /𝑛 , is identical to the original.

Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen? Note: The figures shown are representative.

QUESTION ID:11

Koch’s postulate was established by Robert Koch while working on a disease caused by 

QUESTION ID:12

Corynebacterium diphtheriae causes diphtheria in humans, only when this bacterium is infected by

QUESTION ID:13

Let 𝑦(𝑡) be a bacterial population whose growth is given by ) where 𝜆 is the growth rate constant. If 𝑦(0) = 1 and 𝑦(1) = 4, then the value of 𝜆 is

QUESTION ID:14

The minimum value of the function for 𝑥 > 0 is 

QUESTION ID:15

The diversity in T-cell receptors is generated by

QUESTION ID:16

Which one of the following is true for piRNAs?

QUESTION ID:17

Which one of the following coenzymes is utilised by alanine racemase for the conversion of L-Alanine to D-Alanine?

QUESTION ID:18

Correctly match the following Monosaccharides with their respective Epimers.

QUESTION ID:19

Correctly match the following Product classes with their representative Products.

QUESTION ID:20

Which one of the following hosts is used in mammalian cell culture for the production of glycosylated recombinant therapeutic proteins?

QUESTION ID:21

Which of the following features is/are used to distinguish Archaea from Bacteria? 

QUESTION ID:22

Which of the following enzymes is/are involved in the biogenesis of miRNA?

QUESTION ID:23

Which of the following separation processes is/are based on molecular size?

QUESTION ID:24

Which of the following show(s) optical activity at 100 mM concentration in water? 

QUESTION ID:25

Which of the following fluids exhibit(s) non-Newtonian behaviour at 25 °C?

QUESTION ID:26

Which of the following compounds have the same degree of reduction per carbon-mole? 

QUESTION ID:27

A recombinant protein is secreted extracellularly in soluble form by an E. coli culture. Which of the following downstream processes is/are involved in the purification of the extracellular secreted protein?

QUESTION ID:28

If the doubling time of a bacterial population is 3 hours, then its average specific growth rate during this period is _____ h^-1 .

(Round off to two decimal places)

QUESTION ID:29

For a mechanically reversible isobaric process taking place in a closed system involving 5 moles of an ideal gas, the temperature increases from an initial value of 300 K to a final value of 450 K. If the specific heat capacity at constant volume (Cv) is given as 12.5 J mol^-1 K ^-1 and gas constant is 8.314 J mol^-1 K ^-1 , the amount of heat transferred to the system will be ______ J.

(Round off to the nearest integer)

QUESTION ID:30

The allele associated with albinism in humans is recessive (c). The probability that an albino male (cc) and a carrier female (Cc) will have an offspring with normal skin pigmentation is _______ .

(Round off to one decimal place)

QUESTION ID:31

The contour length of a B-DNA molecule that encodes a bacterial protein of 33 kDa is ______ nm.

Consider the average molecular weight of an amino acid as 110 Da and helix rise per base pair for B-DNA as 0.34 nm. (Round off to the nearest integer)

QUESTION ID:32

Within the Michaelis-Menten framework, the ratio of 𝑣₀/𝑉_max when [S] = 20 × K_m is ______. (Round off to two decimal places) 

QUESTION ID:33

Consider a nonlinear algebraic equation, 𝑒 ^𝑥 − 2 = 0. Using the Newton-Raphson method, with the initial guess of 𝑥₀ = 1, the approximated value of the root of the equation after one iteration is________. (Round off to two decimal places)

QUESTION ID:34

The value of 𝑘, for which the linear equations 2𝑥 + 3𝑦 = 6 and 4𝑥 + 6𝑦 = 3𝑘 have at least one solution, is _____________. (Answer in integer)

QUESTION ID:35

Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the numbers on the top side of the dice is _____________. (Round off to two decimal places)

QUESTION ID:36

Correctly match the Microorganisms with their respective Nutrition and energy requirement.

QUESTION ID:37

Correctly match the Inhibitor with its respective Function in mitochondrial respiration.

QUESTION ID:38

An octapeptide composed of these L-amino acids – Lys, Thr, Ser, Met, Arg, Trp, Tyr, Glu – was subjected to analyses with the following outcomes:

P. The N-terminal sequencing analysis by Sanger’s method yielded ‘Ser’ at the N-terminus

Q. Chymotrypsin treatment gave a pentapeptide, a ‘Tyr’ containing dipeptide and a free ‘Glu’

R. Cyanogen bromide treatment gave two tetrapeptides

S. Trypsin treatment gave two tripeptides and a dipeptide

Which one of the following is the correct octapeptide sequence?

QUESTION ID:39

Correctly match the type of Hypersensitivity reaction with its respective Example.

QUESTION ID:40

Correctly match the Enzyme with its respective Function.

QUESTION ID:41

Correctly match the Coenzyme with its respective involvement in a specific Reaction type.

QUESTION ID:42

A thermometer measuring body temperature follows a first-order response with a time constant of 40 seconds. The instrument will reach 95% of its steady-state output at __________ seconds. (Round off to the nearest integer) 

QUESTION ID:43

The output 𝑦(𝑡) of a first-order process is governed by the following differential equation where 𝜏𝑝 is a non-zero time constant, 𝐾𝑝 is the gain and 𝑓(𝑡) is the input with 𝑓(0) = 0. Assume 𝑦(0) = 0. The transfer function for this process is (consider 𝑠 as the independent variable in the Laplace domain) 

QUESTION ID:44

For a specific bioreactor configuration, the power requirement for a Rushton-turbine impeller agitating an unaerated Newtonian fluid in the turbulent regime will be

QUESTION ID:45

Let 𝑚 and 𝑛 be fixed real numbers. If the function 𝑦(𝑡) = 𝐶₁𝑒 ^𝑡 + 𝐶₂𝑒 ^−𝑡 is a solution of for any constants 𝐶₁ and 𝐶₂, then 𝑚 + 𝑛 is equal to

QUESTION ID:46

If the function  where 𝑎 and 𝑏 are constants, is differentiable at 𝑥 = 0, then 𝑎 + 𝑏 is equal to 

QUESTION ID:47

Correctly match the following Bioinformatic tool/Database with its respective Utility.

QUESTION ID:48

Correctly match the herbicide with its mode of development of resistance in plants.

QUESTION ID:49

Which of the following statements is/are true regarding the effect of the concentration of metabolic intermediates on glycolysis in erythrocytes? 

QUESTION ID:50

Which of the following statements about initiation of DNA replication in eukaryotes is/are true?

QUESTION ID:51

Which of the following proteins is/are involved in intraflagellar transport?

QUESTION ID:52

Which of the following statements is/are true about telomerase?

QUESTION ID:53

The blood group of the mother is A ⁺ and that of the father is AB⁺ . Which of the following statements is/are correct? 

QUESTION ID:54

An enzyme immobilised in a porous spherical pellet, catalyses a strongly mass-transfer limited first-order reaction. The effectiveness factor for the immobilised enzyme reaction increases with the

QUESTION ID:55

Which of the following methods is/are used for identifying histone modifications?

QUESTION ID:56

Which of the following amino acids contain(s) two chiral carbons?

QUESTION ID:57

A binary mixture of benzene and toluene under vapour-liquid equilibrium at 80 C follows ideal Raoult’s law. At this condition, the saturation pressures of benzene and toluene are 101 kPa and 40 kPa, respectively. If the mole fraction of benzene in the liquid phase is 0.6, the corresponding mole fraction of benzene in the vapour phase will be _______.

(Round off to two decimal places)

QUESTION ID:58

In a fermentation process, each mole of glucose is converted to biomass (CH_1.8O_0.5N_0.2), with a biomass yield coefficient of 0.4 C-mol/C-mol, according to the unbalanced equation given below. 

C₆H₁₂O₆ + NH₃ + O₂ → CH_1.8O_0.5N_0.2 + CO₂ + H₂O

The moles of oxygen consumption per mole of glucose consumed during fermentation is _________. (Round off to two decimal places)

QUESTION ID:59

QUESTION ID:60

The percentage of light that would pass through a sample with an absorbance of 2 would be ______% . (Round off to the nearest integer) 

QUESTION ID:61

A hot, freshly-sterilised fermentation medium is cooled in a double-pipe heatexchanger. The medium enters the inner pipe of the exchanger at 95 °C and leaves the exchanger at 40 °C. Cooling water, flowing counter-currently to the medium, enters the annulus of the exchanger at 15 °C and leaves the exchanger at 45 °C. The overall heat transfer coefficient is 1350 W m^-2 °C ^-1 . The rate of heat transfer per unit area will be _______ W/m² . (Round off to the nearest integer) 

QUESTION ID:62

A 2 L bioreactor is being operated as a chemostat, at a flow rate of 0.8 L/h and sterile feed of 10 g/L substrate. The bacterial growth follows Monod kinetics at a maximum specific growth rate of 0.6 h^-1 with a Monod constant of 0.5 g/L and a biomass yield coefficient of 0.4 g/g.

The exit biomass concentration is _______ g/L. (Round off to one decimal place)

QUESTION ID:63

Let 𝐴 =  If the eigenvalues of 𝐴 are −2, 1, and 2, then the value of 𝑘 is ______________. (Answer in integer)

QUESTION ID:64

An NMR spectrometer operating at proton resonance frequency (𝜈) of 1 GHz will have a magnetic field strength of _________ Tesla (T).

The gyromagnetic ratio for proton,  (Round off to one decimal place)

QUESTION ID:65

For the coupled reactions given below

Glucose 6-phosphate + H₂O → Glucose + Pi (Reaction 1)

ATP + Glucose → ADP + Glucose 6-phosphate (Reaction 2)

the standard free energy change of ATP hydrolysis at 25 °C is ____ kJ/mol.

The equilibrium constants for Reaction 1 and Reaction 2 are 360 and 800, respectively; Gas constant R = 8.314 J mol^-1 K ^-1 . (Round off to two decimal places)