1
2
A fed batch culture was operated with intermittent addition of glucose solution at a flow rate of $\text{200 ml h}^{-1}$. The values of $K_s,\: \mu_m$ and $D$ are $\text{0.3 g l}^{-1}, 0.4\:h^{-1}$ and $\text{0.1 h}^{-1}$, respectively. Determine the concentration of growth limiting substrate $(gl^{-1})$ in the reactor at quasi-steady state. ______________
3
In a batch culture of Penicillium chrysogenum, the maximum penicillin synthesis occurs during the lag phase exponential phase stationary phase death phase
4
A pedigree of an inheritable disease is shown below. What type of inheritance does the disease follow? Autosomal dominant X-linked dominant X-linked recessive Autosomal recessive
5
The solution of $\underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
6
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
7
The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
8
The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
9
Protein concentration of a crude enzyme preparation was $10\:mg\:mL^{-1}$. $10\:\mu L$ of this sample gave an activity of $5\:\mu mol\:min^{-1}$ under standard assay conditions. The specific activity of this crude enzyme preparation is ____________ units $mg^{-1}$.
10
In general, which one of the following statements is $NOT \;CORRECT$? Hydrogen bonds result from electrostatic interactions Hydrogen bonds contribute to the folding energy of proteins Hydrogen bonds are weaker than van der Waals interactions Hydrogen bonds are directional
11
For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated $DNA$? $KpnI$ $DpnI$ $XhoI$ $MluI$
12
Match the organelles in $Group\; I$ with their function in $Group\; II$ ... $P-1, Q-4, R-5, S-3$ $P-2, Q-5, R-3, S-4$ $P-1, Q-3, R-4, S-5$
13
Which of the following statements are $CORRECT$ when a protein sequence database is searched using the $BLAST$ algorithm? A larger E-value indicates higher sequence similarity E-value $<10^{-10}$ indicates sequence homology A higher BLAST score indicates higher sequence similarity E-value $>10^{10}$ indicates sequence ... $P, Q$ and $R$ only $Q$ and $R$ only $P, R$ and $S$ only $P$ and $S$ only
14
Which one of the following is coded by the $ABO$ blood group locus in the human genome? Acyl transferase Galactosyltransferase Transposase $\beta$-Galactosidase
15
Which of the following factors affect the fidelity of $DNA$ polymerase in polymerase chain reaction? $Mg^{2+}$ concentration $pH$ Annealing temperature $P$ and $Q$ only $P$ and $R$ only $Q$ and $R$ only $P, Q$ and $R$
16
$Group\; I$ lists spectroscopic methods and $Group\; II$ lists biomolecular applications of these methods. Match the methods in $Group\; I$ with the applications in $Group\; II$ ... $P-4, Q-3, R-1$ $P-2, Q-1, R-3$ $P-1, Q-2, R-4$ $P-3, Q-2, R-4$
17
The hexapeptide $P$ has an isoelectric point $(pI)$ of $6.9$. Hexapeptide $Q$ is a variant of $P$ that contains valine instead of glutamate at position $3$. The two peptides are analyzed by polyacrylamide gel electrophoresis at pH $8.0$. Which one of the following ... faster than $Q$ towards the cathode Both $P$ and $Q$ will migrate together $Q$ will migrate faster than $P$ towards the anode
18
Antibody-producing hybridoma cells are generated by the fusion of a $T$ cell with a myeloma cell $B$ cell with a myeloma cell macrophage with a myeloma cell $T$ cell and a $B$ cell
19
Which of the following statements are CORRECT about the function of fetal bovine serum in animal cell culture? lt stimulates cell growth It enhances cell attachment lt provides hormones and minerals It maintains $pH$ at $7.4$ $P$ and $Q$ only $P$ and $S$ only $P, Q$ and $R$ only $P, Q, R$ and $S$
20
Which one of the following covalent linkages exists between $7$-Methyl guanosine $(m^{7}G)$ and $mRNAs$? ${2}'-{3}'$ triphosphate ${3}'-{5}'$ triphosphate ${5}'-{5}'$ triphosphate ${2}'-{5}'$ triphosphate
21
Which one of the following amino acid residues will destabilize an $\alpha$-helix when inserted in the middle of the helix? Pro Val lIe Leu
22
What is the solution of the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x}{y}$, with the initial condition, at $x=0, y=1?$ $x^{2}=y^{2}+1$ $y^{2}=x^{2}+1$ $y^{2}=2x^{2}+1$ $x^{2}-y^{2}=0$
23
The Laplace transform of the function $f\left ( t \right )=t^{2}+2t+1$ is $\dfrac{1}{s^{3}}+\dfrac{3}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{4}{s^{3}}+\dfrac{4}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{1}{s^{3}}+\dfrac{2}{s^{2}}+\dfrac{1}{s} \\$ $\dfrac{2}{s^{3}}+\dfrac{2}{s^{2}}+\dfrac{1}{s}$
24
Which of the following factors can influence the lag phase of a microbial culture in a batch fermentor? Inoculum size Inoculum age Medium composition $P$ and $Q$ only $Q$ and $R$ only $P$ and $R$ only $P, Q$ and $R$
25
Which one of the following statements is $CORRECT$ about proportional controllers? The initial change in control output signal is relatively slow The initial corrective action is greater for larger error They have no offset There is no corrective action if the error is a constant
26
Match the instruments in $Group\; I$ with their corresponding measurements in $Group\; II$ ... $P-3, Q-4, R-1, S-2$ $P-2, Q-4, R-1, S-3$ $P-2, Q-1, R-4, S-3$
27
Which of the following statements is $ALWAYS\; CORRECT$ about an ideal chemostat? Substrate concentration inside the chemostat is equal to that in the exit stream Optimal dilution rate is lower than critical dilution rate Biomass concentration increases with increase in dilution rate Cell recirculation facilitates operation ... and $Q$ only $P, R$ and $S$ only $P$ and $S$ only $P, Q$ and $S$ only
28
Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$ Assertion $[a]$ : It is possible to regenerate a whole plant from a single plant cell. Reason $[r]$ : It is easier to introduce transgenes in to plants than animals. Both $[a]$ and $[r]$ are true and ... $[a]$ Both $[a]$ and $[r]$ are false $[a]$ is true but $[r]$ is false
29
A UV-visible spectrophotometer has a minimum detectable absorbance of $0.02$. The minimum concentration of a protein sample that can be measured reliably in this instrument with a cuvette of $1cm$ path length is _________$\mu M$ . The molar extinction coefficient of the protein is $10,000\;L\:mol^{-1}\:cm^{-1}$.
30
The difference in concentrations of an uncharged solute between two compartments is $1.6$-fold. The energy required for active transport of the solute across the membrane separating the two compartments is _________ $cal\:mol^{-1}$ (rounded off to the nearest integer). $(R =1.987\:cal\:mol^{-1}\:K^{-1},\:T=37 \;^{\circ}C)$
31
In pea plants, purple color of flowers is determined by the dominant allele while white color is determined by the recessive allele. A genetic cross between two purple flower bearing plants results in an offspring with white flowers. The probability that the third offspring from these parents will have purple flowers is ____________ (rounded off to $2$ decimal places).
32
The molecular mass of a protein is $22\:kDa$. The size of the $\text{cDNA}$ (excluding the untranslated regions) that codes for this protein is __________ $kb$ (rounded off to $1$ decimal place).
33
A new game is being introduced in a casino. A player can lose Rs. $100$, break even, win Rs. $100$, or win Rs. $500$. The probabilities $(P(X))$ of each of these outcomes $(X)$ ... $\sigma$) for the casino payout is Rs. _____________ (rounded off to the nearest integer).
34
$\int _{-1}^{1}\:f\left ( x \right )dx$ calculated using trapezoidal rule for the values given in the table is ______ (rounded off to $2$ ...
35
Yeast biomass $\left ( C_{6}H_{10}O_{3}N \right )$ grown on glucose is described by the stoichiometric equation given below: $C_{6}H_{12}O_{6}+0.48\:NH_{3}+3\:O_{2} \to 0.48\:C_{6}H_{10}O_{3}N+3.12\:CO_{2}+4.32\:H_{2}O$ The amount of glucose needed ... $1,00,000$ $L$ is __________ $kg$ (rounded off to the nearest integer).
36
Phenolic wastewater discharged from an industry was treated with Pseudomonas $sp$. in an aerobic bioreactor. The influent and effluent concentrations of phenol were $10,000$ and $10\:ppm$, respectively. The inlet feed rate of wastewater was $80\:L\:h^{-1}$ ... operates under 'chemostat' mode, the working volume require for this process is _____________ $L$ (rounded off to the nearest integer).
37
In a cross-flow filtration process, the pressure drop $\left ( \Delta P \right )$ driving the fluid flow is $2$ atm, inlet feed pressure $\left ( P_{i} \right )$ is $3$ atm and filtrate pressure $\left ( P_{f} \right )$ is equal to atmospheric pressure. The average transmembrane pressure drop $\left ( \Delta P_{m} \right )$ is ___________ atm.
An industrial fermentor containing $10,000\:L$ of medium needs to be sterilized. The initial spore concentration in the medium is $10^{6}$ spores $mL^{-1}$. The desired probability of contamination after sterilization is $10^{-3}$. The death rate ... cell death during heating and cooling phases. The holding time of the sterilization process is___________ min (rounded off to the nearest integer).
The dimensions and operating condition of a lab-scale fermentor are as follows: Volume = $1\:L$ Diameter = $20$ cm Agitator speed = $600$ rpm Ratio of impeller diameter to fermentor diameter = $0.3$ This fermentor needs to be scaled up to $8,000\:L$ for ... of the agitator in the larger reactor is ___________ rpm. Assume that the scale-up factor is the cube root of the ratio of fermentor volumes.
The number of molecules of a nucleotide of molecular weight $300\:g$/mol present in $10$ picomoles is ____________ $\times10^{12}$ (round off to $2$ decimal places).