# Recent activity

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$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit} \% & \textbf{Marked Price} \\ & (₹) && (₹) \\ \hline P & 5,400 & \dots & 5,860 \\ \hline Q & \dots & 25 & 10,000 \\ \hline \end{array}$ ... $Q$, as a percentage of its marked price, is ___________ $25$ $12.5$ $10$ $5$
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A circular sheet of paper is folded along the lines in the direction shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like ________.
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A feed stream $(F_1)$ containing components $A$ and $B$ is processed in a system comprising of separation unit and a mixer as shown below in the schematic diagram. The mole fractions of the components $A$ and $B$ are $x_A$ and $x_B$, respectively. If $F_1+F_2=100 \textit{ kg h}^{-1}$, the degrees of freedom of the system is _________.
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In $\textit{Neurospora crassa}$, a mutation in the $\textit{poky}$ gene results in a slow growth phenotype (poky). The results of four crosses are given below. wild-type $♀ \times$ wild-type $♂ \rightarrow$ All progeny ... progeny are poky Which one of the following explains the inheritance mode of poky? Episomal inheritance Mendelian inheritance Mitochondrial inheritance X-linked inheritance
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Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, respectively.
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The process and instrumentation diagram for a feedback control strategy to maintain the level $(h)$ of a liquid by regulating a valve $(V)$ in a tank is shown below. $F_1$ is inlet liquid flow rate, $F_2$ is outlet liquid flow rate, $LT$ is the liquid level transmitter, $LC$ ... valve pressure. The manipulating variable(s) is/are $F_1$ only $F_2$ only $h_m$ and $P_v$ only $h_{sp}$ and $P_v$ only
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The order of genes present in a chromosome is as follows Which one of the following rearrangements represents a paracentric inversion?
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A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $PQ$ lies completely inside or on the polygon. Which one of the following is $\underline {\text{NOT}}$ a convex polygon?
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The enzyme $\alpha$-amylase used in starch hydrolysis has an affinity constant $(K_m)$ value of $0.005 \: M$. To achieve one-fourth of the maximum rate of hydrolysis, the required starch concentration $mM$ (rounded off to two decimal places) is ____________
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Which of the following cell organelle(s) is/are surrounded by a single phospholipid membrane? Golgi apparatus Lysosome Mitochondria Nucleus
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Which of the following layer(s) is/are formed from the inner cell mass of the blastocyst? Ectoderm Endoderm Mesoderm Trophectoderm
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Which of the following statement(s) is/are $\text{CORRECT}$ about $\textit{Agrobacterium tumefaciens}$? It contains tumor inducing plasmid It causes crown gall disease in dicotyledonous plants It is a Gram-positive soil bacterium It is used in generating transgenic plants
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Which of the following antimicrobial agent(s) is/are growth factor analog(s)? $5$-Fluorouracil Isoniazid Sulfanilamide Tetracycline
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Which of the following chemical messenger(s) is/are derivative(s) of tryptophan? $\gamma$-amino butyric acid Indole acetic acid Melatonin Serotonin
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Which of the following nucleus/nuclei is/are $\text{NMR}$ active? $^1H$ $^{13}C$ $^{16}O$ $^{32}S$
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A $0.1 \textit{ mL}$ aliquot of a bacteriophage stock having a concentration of $4 \times 10^9 \textit{ phages mL}^{-1}$ is added to $0.5 \textit{ mL}$ of $\textit{E. coli}$ culture having a concentration of $2 \times 10^8 \textit{ cells mL}^{-1}$. The multiplicity of infection is ________
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A bacterium produces acetic acid from ethanol as per the following reaction $2CH_3CH_2OH+2O_2 \rightarrow 2CH_3COOH+2H_2O$ The thermodynamic maximum yield of acetic acid from ethanol in $g \: g^{-1}$ (rounded off to two decimal places) is ___________
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The possible number of $\textit{Sal}\text{I}$ restriction sites in a $9\text{ kb}$ double-stranded $\text{DNA}$, with all four bases occurring in equal proportion (rounded off to the nearest integer) is _________
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A $\text{DNA}$ solution of $50 \: \mu g \: mL^{-1}$ concentration gives an absorbance of $1.0$ at $260 \textit{ nm}$. An aliquot of $20 \: \mu L$ from a $50 \: \mu L$ ... at $260 \textit{ nm}$. The concentration of the purified plasmid in $\mu g \: \mu L^{-1}$ (rounded off to two decimal places) is ________.
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Milk flowing through a stainless steel inner tube ($40 \textit{ mm}$ inner diameter) of double tube-type heater is to be heated from $10^\circ C$ to $85^\circ C$ by saturated steam condensing at $120^\circ C$ on the outer surface of the inner tube. Total heat transferred $(Q)$ ... } m^{-2} $^\circ C^{-1}$. The total length of the heating tube in $m$ (rounded off to one decimal place) is __________
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A batch cultivation of $\textit{E. coli}$ follows zeroth order Monod's growth kinetics. The cell growth is terminated when the residual dissolved oxygen concentration attains $10\%$ of its saturation value and oxygen mass transfer coefficient $(k_La)$ ... in $\textit{kg m}^{-3}$ (rounded off to two decimal places) at the end of the batch cultivation is __________
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Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
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In a random mating population, $Y$ and $y$ are dominant and recessive alleles, respectively. If the frequency of $Y$ allele in both sperm and egg is $0.70$, then the frequency $Y/y$ heterozygotes (rounded off to two decimal places) is ___________.
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A sedimentation tank of height $100 \textit{ cm}$ is used in a conventional activated sludge process to separate a suspension of spherical shaped granular sludge biomass of $0.5 \textit{ mm}$ ... reach their terminal velocity instantaneously, the biomass settling time in $\textit{min}$ (rounded off to two decimal places) is ___________
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The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is $0.15 \: h^{-1}$. If the cell concentration at $30 \: h$ is $33\: g L^{-1}$, the cell concentration in $g \: L^{-1}$ (rounded off to the nearest integer) at $24 \: h$ is ________.
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It is desired to scale-up a fermentation from $1L$ to $1000L$ vessel by maintaining a constant power-to-volume ratio. The small fermenter is operated at an agitator speed of $300$ rotations per minute $(\textit{rpm})$. If the value of scale up factor is $10$, agitator speed in $\textit{rpm}$ (rounded off to the nearest integer) for the large fermenter is _________.
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The determinant of matrix $A = \begin{pmatrix} 1 & 1& 1 & 1 \\ -1 & 1 & 1 & 1 \\ -1 & -1 & 1 & 1 \\ 1 & 1 & 1 & 3 \end{pmatrix}$ is __________.
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If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to one decimal place) is ________.
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In a chemostat with a dilution rate of $0.8$ $h^{-1}$, the steady state biomass concentration and the specific product formation rate are $8 \textit{ mol m}^{-3}$ and $0.2 \;(\textit{mol product}) (\textit{mol biomass})^{-1} \: h^{-1}$, respectively. The steady state product concentration in $\textit{mol m}^{-3}$ is ___________
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If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________
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In a Mendel’s dilhybrid experiment, a homozygous pea plant with round yellow seeds was crossed with a homozygous plant with wrinkled green seeds. $F_1$ intercross produced $560 \: F_2$ progency. The number of $F_2$ progency having both dominant traits (round and yellow) is ____________
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Tertiary structure of a protein consisting of $\alpha$-helices and $\beta$-strands can be determined by circular dichroism spectroscopy mass spectrometry nuclear magnetic resonance spectroscopy $\text{UV}$ spectroscopy
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Which one of the following tools is used to compare all the possible six-open reading frames of a given nucleotide query sequence with all the available six-open reading frames of the nucleotide sequence database? $\text{BLASTN}$ $\text{BLASTX}$ $\text{TBLASTN}$ $\text{TBLASTX}$
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Which of the following combinations of plant hormones and their associated function are $\text{CORRECT}$ ... $P$ and $R$ only $P$ and $S$ only $Q$ and $R$ only $Q$ and $S$ only
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Match hypersensitivity types in $\text{Group I}$ with their corresponding condition in $\text{Group II}$ ... $P-3, Q-1, R-4, S-2$ $P-2, Q-3, R-4, S-1$ $P-2, Q-1, R-3, S-4$
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Match the autoimmune diseases in $\text{Group I}$ with the corresponding primarily affected organ in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-4, Q-2, R-1, S-3$ $P-1, Q-2, R-4, S-3$
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Match separation methods in $\text{Group I}$ with associated properties in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-4, S-3$
Match enzymes in $\text{Group I}$ with their corresponding industrial application in $\text{Group II}$ ... $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-3, S-4$ $P-1, Q-4, R-2, S-3$
A system consists of two reactors, connected by a valve. The first reactor $(R1)$ contains an ideal gas $A$ of volume $5\: L$ and the second reactor $(R2)$ has an ideal gas $B$ of volume $10\: L$. Initially, the valve is closed and ... equilibrium. If the temperature $T$ of both the reactors is maintained constant, the final equilibrium pressure in $\textit{atm}$ of the system is _____________
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________