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Previous Year Questions

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TLS Online TPP Program

QUESTION ID:1

What is the order of the differential equation given below?


QUESTION ID:2

If the eigenvalues of a 2×2 matrix P are 4 and 2, then the eigenvalues of the matrix P^-1are

QUESTION ID:3

For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are 100 and 200 W m-2 K-1, respectively. The thickness and thermal conductivity of the thin-walled inner pipe are 1 cm and 10 W m^-1 K^-1, respectively. The value of the overall heat transfer coefficient is ___________ W m^-2 K^-1.

QUESTION ID:4

Match the media component (Column I) with its role (Column II).


QUESTION ID:5

The binding free energy of a ligand to its receptor protein is −11.5 kJ mol^-1 at 300 K. What is the value of the equilibrium binding constant? Use R = 8.314 J mol^-1 K^-1.

QUESTION ID:6

The overall stoichiometry for an aerobic cell growth is

What is the elemental composition formula of the biomass?

QUESTION ID:7

In binomial nomenclature, the name of a bacterial strain is written with the first letter of ___________ word(s) being capitalized.

QUESTION ID:8

The type of nucleic acid present in phage is

QUESTION ID:9

Which of the following statements about reversible enzyme inhibitors are CORRECT?
P. Uncompetitive inhibitors bind only to the enzyme-substrate complex
Q. Non-competitive inhibitors bind only at a different site from the substrate
R. Competitive inhibitors bind to the same site as the substrate

QUESTION ID:10

Match the component of eukaryotic cells (Column I) with its respective function (Column II).

QUESTION ID:11

In animal cells, the endogenously produced miRNAs silence gene expression by

QUESTION ID:12

Terpenoids are made of ___________ units

QUESTION ID:13

Match the microbial product (Column I) with its respective application (Column II).

QUESTION ID:14

Which of the following is NOT used for generating an optimal alignment of two nucleotide sequences?

QUESTION ID:15

The recognition sequences of four Type-II restriction enzymes (RE) are given below. The symbol (↓) indicates the cleavage site. Identify the RE that generates sticky ends.

QUESTION ID:16

Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific restriction enzymes. Which of the following technique is used to identify such variations?

QUESTION ID:17

Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of 12 is _______________

QUESTION ID:18

A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is 0.5 . The initial concentrations of biomass and substrate are 2 g L^-1 and 200 g L^-1, respectively. Assuming that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is _________________ g L^-1

QUESTION ID:19

The degree of reduction of lactic acid (C3H6O3) is ________________.

QUESTION ID:20

Consider a nonlinear algebraic equation, 𝑥𝑙𝑛𝑥 + 𝑥 − 1 = 0. Using the Newton- Raphson method, with the initial guess of 𝑥0 = 3, the value of 𝑥 after one iteration (rounded off to one decimal place) is __________.

QUESTION ID:21

The probability density function of a random variable X is . The probability (rounded off to two decimal places) is __________.

QUESTION ID:22

The maximum value of the function is ___________.

QUESTION ID:23

The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is___________h^-1.

QUESTION ID:24

A fermentation broth of density 1000 kg m^-3 and viscosity 10^-3 kg m-1 s^-1 is mixed in a 100 L fermenter using a 0.1 m diameter impeller, rotating at a speed of 2 s^-1. The impeller Reynolds number is ____________.

QUESTION ID:25

For a pure species, the slope of the melting line   The difference between the molar volumes of the liquid and solid phase at −2 ˚C is −4.5×10^-6 m3 mol^-1. The value of the latent heat of fusion (rounded off to nearest integer) is __________ J mol^-1.

QUESTION ID:26

Which of the following conditions will contribute to the stability of a gene pool in a natural population?
P. Large population
Q. No net mutation
R. Non-random mating
S. No selection

QUESTION ID:27

Match the media component used in mammalian cell culture (Column I) with its respective role (Column II).

QUESTION ID:28

Match the cell type (Column I) with its function (Column II).


QUESTION ID:29

A 2×2 matrix P has an eigenvalue 𝜆1 = 2 with eigenvector  another eigenvalue 𝜆2 = 5, with eigenvector  The matrix P is

QUESTION ID:30

Match the stationary phase (Column I) with its corresponding chromatography technique (Column II).

QUESTION ID:31

Which of the following statements are CORRECT for a controller?
P. In a proportional controller, a control action is proportional to the error
Q. In an integral controller, a control action is proportional to the derivative of the error
R. There is no “offset” in the response of the closed-loop first-order process with a proportional controller
S. There is no “offset” in the response of the closed-loop first-order process with a proportional-integral controller

QUESTION ID:32

Which of the following are CORRECT about protein structure?
P. Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atoms
Q. Tertiary structure is the three-dimensional arrangement of the polypeptide backbone atoms only
R. Quaternary structure refers to an assembly of multiple polypeptide subunits

QUESTION ID:33

The enzymes involved in ubiquitinylation of cell-cycle proteins are

QUESTION ID:34

The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is CORRECT?

QUESTION ID:35

Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food?
P. Infrared
Q. Circular dichroism
R. Nuclear magnetic resonance
S. UV-Visible

QUESTION ID:36

Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a DNA base pair mismatch. The CORRECT combination of enzymes that are involved in repairing this damage is

QUESTION ID:37

Consider the ordinary differential equation If y(1) = 1, the value(s) of y(1.5) , using the Euler’s implicit method with a step size of h = 0.5, is (are)

QUESTION ID:38

Which of the following statements are CORRECT for an enzyme entrapped in a spherical particle?

QUESTION ID:39

Which of the following is(are) COMMON feature(s) for both aerobic and anaerobic bacterial cultures?

QUESTION ID:40

Which of the following plot(s) is(are) CORRECT for an enzyme that obeys Michaelis-Menten kinetics, assuming [𝑆] ≪ 𝐾m? [𝑆] is the concentration of the substrate, 𝐾m is the Michaelis constant, and v0 is the initial reaction velocity

QUESTION ID:41

Which of the following statement(s) is(are) CORRECT regarding the lac operon in E. coli when grown in the presence of glucose and lactose?

QUESTION ID:42

Emerging viruses such as SARS-CoV2 cause epidemics. Which of the following process(es) contribute to the rise of such viruses?

QUESTION ID:43

Introduction of foreign genes into plant cells can be carried out using

QUESTION ID:44

Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?

QUESTION ID:45

Consider a random variable X with mean 𝜇x= 0.1 and variance A new random variable 𝑌 = 2𝑋 + 1 is defined. The variance of the random variable Y (rounded off to one decimal place) is _________________.

QUESTION ID:46


QUESTION ID:47

Figure below depicts simplified metabolic and transport reactions taking place in the production of B from A in a cell. The subscript ‘i’ refers to intracellular metabolites. rj is the j^th reaction flux in  . Under pseudo-steady-state condition, the following reaction fluxes are available. r1 = 4, r3 = 1 and r6 = 1. The transport flux of B, r4, is _____________ 

QUESTION ID:48

The amount of biomass in a reactor at the end of the batch process is 50 g. Fedbatch operation is initiated by feeding the substrate solution at a constant rate of 1 L h-1. The concentration of substrate in the feed is 50 g L-1. The maximum biomass yield  . Assuming the system is at quasi-steady state, the maximum amount of biomass after 5 h of feeding is _____________ g.

QUESTION ID:49

An enzyme catalyzes the conversion of substrate A into product B. The rate equation for this reaction is Substrate A at an initial concentration of 10 mol L^-1 enters an ideal mixed flow reactor (MFR) at a flow rate of 10 L min^-1. The volume of the MFR required for 50% conversion of substrate to product is ___________ L.

QUESTION ID:50

Liquid-phase mass transfer coefficient (kL) is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is measured. The bulk concentration of O2 is 10-^4 mol L^-1. Solubility of O2 in water at 25 ˚C is 10^-3 mol L^-1. If the oxygen consumption rate is 9×10-4 mol L^-1 s^-1, and interfacial area is 100 m^2/m^3, the value of kL is __________cm s^-1.

QUESTION ID:51

Consider a piston-cylinder assembly shown in the figure below. The walls of the cylinder are insulated. The cylinder contains 1 mole of an ideal gas at 300 K and the piston is held initially at the position z1 using a stopper. After the stopper is removed, the piston suddenly rises against atmospheric pressure (1.013×10^5 Pa) to the new position z2 where it is held by another stopper. The heat capacity (Cv) of the gas is 12.5 J mol^-1 K^-1. The cross-sectional area of the cylinder is 10-3 m2. Assume the piston is weightless and frictionless. If m, the final temperature of the gas (rounded off to nearest integer) is ___________K.

QUESTION ID:52

Consider the growth of S. cerevisiae under aerobic condition in a bioreactor and the specific growth rate of yeast is 0.5 h^-1. The overall reaction of the process is
The heat of combustion values for different compounds are tabulated below with the reference to CO2, H2O, O2, and N2 at standard conditions
The specific rate of heat production (rounded off to nearest integer) is _____________ kJ mol^-1 h^-1.

QUESTION ID:53

A pilot sterilization was carried out in a vessel containing 100 m^3 medium with an initial spore concentration of 10^8 spores/ml. The accepted level of contamination after sterilization is 1 spore in the entire vessel. The specific death rate constant for the spore is 2 min^-1 at 121 ˚C. Assuming no death takes place during the heating and cooling cycles, the holding time at 121 ˚C (rounded off to nearest integer) is _____________min.

QUESTION ID:54

A circular plasmid has three different but unique restriction sites for enzymes  ‘a’, ‘b’ and ‘c.’ When enzymes ‘a’ and ‘b’ are used together, two fragments of equal size are generated. Enzyme ‘c’ creates fragments of equal size only from one of the fragments generated by those cleaved by ‘a’ and ‘b’. The plasmid is treated with a mixture of ‘a’, ‘b’ and ‘c’ and analysed by agarose gel electrophoresis. The number of bands observed in the gel is __________.

QUESTION ID:55

A bacterial strain is grown in nutrient medium at 37 ˚C under aerobic conditions. The medium is inoculated with 10^2 cells from a seed culture. If the number of cells in the culture is 10^5 after 10 hours of growth, the doubling time of the strain (rounded off to nearest integer) is ____________h.

QUESTION ID:56

You should _________ when to say _________.

QUESTION ID:57

Two straight lines pass through the origin (𝑥0, 𝑦0) = (0,0). One of them passes through the point (𝑥1, 𝑦1) = (1,3) and the other passes through the point (𝑥2, 𝑦2) = (1,2).
What is the area enclosed between the straight lines in the interval [0, 1] on the 𝑥-axis?

QUESTION ID:58

If
𝑝 ∶ 𝑞 = 1 ∶ 2
𝑞 ∶ 𝑟 = 4 ∶ 3
𝑟 ∶ 𝑠 = 4 ∶ 5
and 𝑢 is 50% more than 𝑠, what is the ratio 𝑝 ∶ 𝑢?

QUESTION ID:59

Given the statements:
 P is the sister of Q.
Q is the husband of R.
 R is the mother of S.
 T is the husband of P.
Based on the above information, T is ______ of S.

QUESTION ID:60

In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is

QUESTION ID:61

Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

QUESTION ID:62

P invested ₹ 5000 per month for 6 months of a year and Q invested ₹ 𝑥 per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives 4/9 of the total profit, what is the value of 𝑥 (in ₹)?

QUESTION ID:63

The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.
From the data presented above, which one of the following is CORRECT?

QUESTION ID:64

In the square grid shown on the left, a person standing at P2 position is required to move to P5 position.
The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right. For example, a person at a given position Y can move only to the positions marked X on the right.
Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is

QUESTION ID:65

Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube?