# Recent questions and answers in Others

1
The solution of $\lim_{x\rightarrow 8}\left ( \frac{x^{2}-64}{x-8} \right )$ is _____________.
2
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
3
The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
4
The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
5
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 $mg^{-1}$.
6
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
7
For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated $DNA$? $KpnI$ $DpnI$ $XhoI$ $MluI$
8
Match the organelles in Group I with their function in Group II. ... -1, Q-3, R-2, S-5 P-1, Q-4, R-5, S-3 P-2, Q-5, R-3, S-4 P-1, Q-3, R-4, S-5
9
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 homology P, Q and R only Q and R only P, R and S only P and S only
10
Which one of the following is coded by the $ABO$ blood group locus in the human genome? Acyl transferaseTransposase Galactosyltransferase Transposase $\beta$-Galactosidase
11
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
12
Group I lists spectroscopic methods and Group II lists biomolecular application 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
13
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
14
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
15
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
16
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
17
Which one of the following amino acid residues will destabilize an a-helix when inserted in the middle of the helix? Pro Val lIe Leu
18
What is the solution of the following equation $\frac{\mathrm{dy} }{\mathrm{d} x}=\frac{x}{y}$, with the initial condition, at $x=0, y=1?$ $x^{2}=y^{2}+1$ $y^{2}=x^{2}+1$ $y^{2}=2x^{2}+1$ $x^{2}-y^{2}=0$
19
The Laplace transform of the function $f\left ( t \right )=t^{2}+2t+1$ is $\frac{1}{s^{3}}+\frac{3}{s^{2}}+\frac{1}{s}$ $\frac{4}{s^{3}}+\frac{4}{s^{2}}+\frac{1}{s}$ $\frac{1}{s^{3}}+\frac{2}{s^{2}}+\frac{1}{s}$ $\frac{2}{s^{3}}+\frac{2}{s^{2}}+\frac{1}{s}$
20
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
21
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
22
Match the instruments in Group I with their corresponding measurements in Group II. ... , Q-1, R-2, S-3 P-3, Q-4, R-1, S-2 P-2, Q-4, R-1, S-3 P-2, Q-1, R-4, S-3
23
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 ... beyond critical dilution rate P and Q only P, R and S only P and S only P, Q and S only
24
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
25
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 $10,000$ $L\:mol^{-1}\:cm^{-1}$.
26
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). $(R =1.987\:cal\:mol^{-1}\:K,\:T-37 ^{\circ}C)$
27
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).
28
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).
29
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)$are given in the following table:$\begin{array}{|cl|cI|cI|cI|cI|c|}\ ... $\sigma$) for the casino payout is Rs. _____________ (rounded off to the nearest integer).
30
$\int _{-1}^{1}\:f\left ( x \right )dx$ calculated using trapezoidal rule for the values given in the table is ______ (rounded off to $2$ ...
31
Yeast biomass $\left ( C_{6}H_{10}O_{3}N \right )$ grown on glucose is described by the stoichiometric equation given below $C_{6}H_{12}O_{6}+0.48\:NH_{3}+3\:O_{2}n \to 0.48\:C_{6}H_{10}O_{3}N+3.12\:CO_{2}+4.32\:H_{2}O$ The amount of glucose needed ... $1,00,000$ $L$ is __________ $kg$ (rounded off to the nearest integer).
32
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).
33
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.
34
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).
35
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.
36
The number of molecules of a nucleotide of molecular weight $300\:g$/mol present in $10$ picomoles is ____________ $x$ $10^{12}$ (rounded off to $2$ decimal places).
37
To facilitate mass transfer from a gas to a liquid phase, a gas bubble of radius $r$ is introduced into the liquid. The gas bubble then breaks into $8$ bubbles of equal radius. Upon this change, the ratio of the interfacial surface area to the gas phase volume for the system changes from $3/r$ to $3n/r$. The value of $n$ is _____________________.
The largest eigenvalue of the matrix $\begin{bmatrix} 4 &1 \\ -2& 1 \end{bmatrix}$ is ______________.
A normal random variable has mean equal to $0$. and standard deviation equal to $3$. The probability that on a random draw the value of this random variable is greater than $0$ is __________ (rounded off to $2$ decimal places).
A variable $Y$ is a function of $t$. Given that $Y\left ( t=0 \right )=1$ and $Y\left ( t=0 \right )=2,\frac{dY}{dt}$ in the interval $t=\left [ 0,1 \right ]$ can be approximated as _________________.