Previous Year Questions

QUESTION ID:2

In the sequence of tiles shown below, the missing tile indicated by the question mark should be

QUESTION ID:3

A school has 100 students distributed among 1^st to 10^th standards.

Based on this, which one of the following statements is always correct? 

QUESTION ID:4

How many 3-digit numbers can be formed using three distinct single digit prime numbers? 

QUESTION ID:5

In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____

QUESTION ID:6

Charity : P :: Retaliation : Q

Choose the appropriate pair of words P and Q that fit the analogy.

QUESTION ID:7

A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?

QUESTION ID:8

Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________

QUESTION ID:9

Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:

i. Neither H2 nor H3 is the easternmost hill.

ii. Neither H2 nor H3 is the westernmost hill.

iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.

iv. Two hills are located to the west of H2.

v. The southernmost hill has at least two hills to its east.

The southernmost hill is ________.

QUESTION ID:10

As shown in the figure, circle C₁ with center O₁ and radius r₁ touches the square 𝑉𝑊𝑋𝑌 at points 𝑃 and 𝑄 while circle C₂ with center O₂ and radius r₂ touches the square 𝑉𝑊𝑋𝑌 at points 𝑅 and 𝑆. The two circles touch each other at 𝑇.

QUESTION ID:11

Consider the two functions  and 𝑓₂(𝑥) = 𝑥 ² − 2𝑥 + 2. Which of the following is the value of (𝑓₁ (𝑥) + 𝑓₂(𝑥)) as 𝑥 → 2 ?

QUESTION ID:12

Which of the following is one of the eigenvalues for the matrix given below?

QUESTION ID:13

Which of the following functions has the highest area under the curve between 𝑥 = 0 and 𝑥 = 10?

QUESTION ID:14

Cancer cells display a high level of heterogeneity in the expression of TP53 protein. Which of the following techniques can be directly used to determine the intratumoral heterogeneity of TP53 expression in a given tumor sample, without resorting to additional cell separation techniques? 

QUESTION ID:15

The transfer function of a Proportional-Integral (PI) controller 𝐺_𝐶(𝑠) is given by 

where 𝐾_𝐶 is the controller gain, 𝜏_𝐼 is the controller integral time constant and s is the Laplace variable. The role of the integral component of the controller is to ____________. 

QUESTION ID:16

Which of the following enzyme is involved in the protection of cells from reactive oxygen species?

QUESTION ID:17

In nitrogen fixation, to reduce nitrogen to ammonia, which one of the following shows the correct order of electron flow?

QUESTION ID:18

For monoclonal antibody production, hypoxanthine ____________.

QUESTION ID:19

Which one of the following proteins would elute third in gel filtration chromatography from a mixture of four proteins given below?

QUESTION ID:20

Which one of the following antibiotics blocks protein chain elongation by preventing the action of peptidyl transferase ?

QUESTION ID:21

The catalytic efficiency of an enzyme following Michaelis-Menten kinetics is defined by 

QUESTION ID:22

The RNA primer synthesized during bacterial DNA replication is removed by ________. 

QUESTION ID:23

Match the carbohydrates in Column I with the correct glycosidic linkages involved in Column II.

QUESTION ID:24

The correct sequence of steps involved in anaerobic production of biogas is: 

QUESTION ID:25

Which one of the following options represents the products of light reactions of photosynthesis in plants? 

QUESTION ID:26

Which component of the CRISPR/Cas9 gene editing system is NOT of natural origin? 

QUESTION ID:27

The equation has a solution of the form 𝑦 = 𝑒^𝐴𝑥 . The value(s) of A satisfying this is/are: 

QUESTION ID:28

Which of the following drugs inhibit(s) ATP-ADP translocase? 

QUESTION ID:29

Which of the following is/are extra-cellular matrix protein(s)? 

QUESTION ID:30

BLAST and its extensions can be used to determine similarity of a query protein sequence with which of the following database(s)? 

QUESTION ID:31

The mean of the following series is ______. (rounded off to three decimal places)

0.01, 0.02, 0.03, ⋯ ⋯ , 1

QUESTION ID:32

You are characterizing a new enzyme isolated and purified in the laboratory. If the maximum velocity of the enzyme is 1800 µmoles L^-1 min^-1 and the total concentration of the enzyme in the reaction mixture is 1.5 µM, then the turnover number of the enzyme is _______ s ^-1 . (answer in integer)

QUESTION ID:33

To determine the viable cell count of a bacterial culture, you have plated 50 µL of a 100-fold diluted sample of the culture on a nutrient agar plate and obtained 20 colonies after overnight incubation. The viable cell count of the culture is ______ CFU mL^-1 . (answer in integer)

QUESTION ID:34

Given below is the Gibbs free energy change (ΔG) in kilo Joules per electron equivalent (kJ e^-eq^-1 ) at pH 7.0, of organic and inorganic half reactions.

Acetate synthesis: 

The free energy change of acetate oxidation to CO₂, H₂O and HCO₃ − is _______ kJ e^-eq^-1 . (rounded off to two decimal places)

QUESTION ID:35

You have purified an enzyme using a series of chromatographic methods. It was observed that a 10 µg mL^-1 of this purified enzyme converted 10 mM substrate per hour at 25°C and pH 7. Its specific activity is _______ IU µg^-1 . (rounded off to three decimal places)

QUESTION ID:36

In the open-loop process shown in the figure, the input 𝑈(𝑠), the transfer function 𝐺_𝑝(𝑠) and the output 𝑌(𝑠) are given in the Laplace domain in terms of the Laplace variable s. For this process, which of the following is true?

(where 𝑀, 𝜏_𝑝,𝐾𝑃, are the magnitude of the input, the characteristic time and the gain for the process, respectively)

QUESTION ID:37

Match the immunological terms in Column I with their function/description in the Column II

QUESTION ID:38

Match the genetic disorders in Column I to the corresponding underlying cause in Column II

QUESTION ID:39

Match the biomolecules in Column I with their function given in Column II

QUESTION ID:40

By elemental analysis of a biomass sample, it was found that the cells in the given sample are composed of (by weight) C=50%, H=8%, O=20%, N=10% and ash content=12%. Which of the following is the correct empirical formula of the ashfree cells, normalized with respect to Nitrogen? 

QUESTION ID:41

For the given matrix, which of the statements given below is/are true?

QUESTION ID:42

Messenger RNAs (mRNAs) translate to generate polypeptides and the translation terminates at the UGA, UAG or UAA stop codons. The AGA codon acts as additional stop codon in the mitochondria. The longest possible polypeptide(s) that can be hypothetically translated in the cytosol and/or mitochondria, from the given full length mRNA sequence (36 nucleotides) is/are

5'-AACACCAUGACCCAUGUGGCGAGACGGUAGUUAAAA- 3'

QUESTION ID:43

The RNA sequence below depicts the part of a 330 nucleotides long mRNA and it encodes the C-terminal portion of a protein.

5'-… … … AAC ACC ACG ACC CAU GUG GCG AGA CGG UAG- 3'

A mutation was identified in this RNA denoted as 322A → U. This nucleotide change is represented by which of the following class(es) of mutation?

QUESTION ID:44

A microbial culture is being grown in a bioreactor with continuous aeration. The dissolved oxygen probe provided with the system shows a reading of zero. In this context, which of the following inferences is/are correct? 

QUESTION ID:45

For a Newtonian fluid, a plot of shear stress (on Y axis) against shear rate (on X axis) will result in a straight line ________. 

QUESTION ID:46

In an aerobic fermentation with air sparging, which of the following options can be used to increase the volumetric mass transfer coefficient for oxygen transfer? 

QUESTION ID:47

For a liquid flowing in a circular cross section pipe, the transition from laminar to turbulent flow will NOT depend on which of the following factor(s)? 

QUESTION ID:48

Which of the following is/are posttranslational modification(s) involved in epigenetic control of gene expression? 

QUESTION ID:49

For an ideal plug flow reactor, which of the following statements is/are true? 

QUESTION ID:50

An enzyme-catalyzed reaction is found to have ∆G = −100 kJ mol⁻¹ . Which of the following statements about this reaction is/are true? 

QUESTION ID:51

Consider the equation

The value of the integral using trapezoidal method and interval ℎ = 0.25 is ________. (rounded off to two decimal places) 

QUESTION ID:52

If the straight lines given by the following two equations are parallel to each other, the value of a is _____. (answer in integer)

4𝑥 + 7𝑦 = 6;  3𝒂𝑥 + 42𝑦 = 24

QUESTION ID:53

A straight line 𝑦 = 𝑥 − 1 intersects a circle with center at 𝑥 = 1, 𝑦 = 1 and radius of magnitude 1 at two points. The length of the chord formed by this intersection is _______. (rounded off to three decimal places)

QUESTION ID:54

A heat exchanger during operation in a bioprocess has a steady temperature of 90 ^oC. After completion of its operation, it was shut down and it was observed that the rate of decrease of temperature at any time was directly proportional to the difference 𝑇(𝑡) − 30 ^oC, where 𝑇(𝑡) denotes temperature at time 𝑡. It was observed that it took 30 min for the temperature to drop to 70 ^oC. The temperature after 51.5 min will be_________ ^oC. (rounded off to the nearest integer) 

QUESTION ID:55

A microbial culture (following Monod model for growth) has a maximum specific growth rate of 0.1 h^-1 , Monod constant of 1 mg L^-1 and endogenous decay rate of 0.1 day^-1 . At limiting substrate concentration of 23 g L^-1 , the net specific growth rate will be ________day^-1 . (rounded off to one decimal place)

QUESTION ID:56

A CSTR with a volume of 100 m³ is operated in cell recycle mode. At a volumetric flow rate of 10 m³ day^-1 and effluent biomass of 20 mg L^-1 , the steady state biomass concentration is 200 mg L^-1 . The mean cell retention time in the reactor is ____ days. (answer in integer)

QUESTION ID:57

The electron equivalent per liter (eeq L^-1 ) of acetate ion solution of concentration 10 g L^-1 is _______ eeq L^-1 . (rounded off to one decimal place) 

QUESTION ID:58

From the following plot of 𝑑𝑦/𝑑𝑥 versus 𝑥 and if y(2) = 5, the value of y(3) is ________. (rounded off to one decimal place)

QUESTION ID:59

A batch sterilizer is being operated at 121 ^oC for sterilizing a medium containing microbial cells. Assume that the thermal deactivation of cells is a first order process with a death rate constant of 0.69 min^-1 at 121 ^oC. If the initial concentration of microbes in the medium is 1010 cells m^-3 , the time taken to reduce the microbial load to a final concentration of 10 cells m^-3 is _________ min. (rounded off to the nearest integer)

QUESTION ID:60

A substrate is consumed in a zero order reaction such that its concentration falls from 42 g L^-1 to 14 g L^-1 in 4 hours. The total time taken for complete utilization of substrate will be ________ hours. (answer in integer) 

QUESTION ID:61

A microbe that follows Monod growth kinetics on a limiting substrate (maximum specific growth rate of 0.5 h^-1 and Monod constant of 0.1 mg L^-1 ) is cultivated in a continuous reactor for microbial growth (chemostat) with sterile feed. Given that the chemostat volume is 5 L and inlet concentration of limiting substrate is 10 g L^-1 , the minimum inlet feed flow rate for chemostat washout is ______ L h^-1 . (rounded off to one decimal place) 

QUESTION ID:62

It is desired to cultivate 150 mg (dry weight) microbial cells with an empirical formula of C₅H₇O₂N. If the phosphorus requirement for the cells is 20% of the nitrogen requirement (on a weight/weight basis), the minimum amount of phosphorous required to be added to the cultivation medium is ________ mg. (rounded off to one decimal place)

QUESTION ID:63

In the process of generating a clonal mammalian cell line, a single cell was seeded in a well of a cell culture plate. After the first 48 hours, one of the progeny cells underwent apoptosis due to a new mutation. If the doubling time of the cells is 24 hours and no more cell death occurs, the total number of cells after a total of 7 days from seeding will be ______. (answer in integer)

QUESTION ID:64

A disease-associated allele shows X-linked recessive inheritance. If the mother is a carrier of the disease, the father is genetically normal and the child born is a son, then the probability that he is born with the disease is _______. (rounded off to one decimal place)

QUESTION ID:65

A packed bed bioreactor with length 1 m and inside diameter 10 cm has liquid flowing at an interstitial velocity of 1 cm s^-1 . Given a volumetric flow rate of 0.025 L s^-1 , the void fraction of the packed bed is ______. (rounded off to two decimal places)