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Which of the following plot(s) is(are) $\text{CORRECT}$ for an enzyme that obeys Michaelis-Menten kinetics, assuming $[S] \ll K_{m}$?$[S]$ is the concentration of the sub...
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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?At low glucose level, the op...
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Emerging viruses such as $\text{SARS-Co V2}$ cause epidemics. Which of the following process(es) contribute to the rise of such viruses?Mutation of existing virusJumping ...
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Introduction of foreign genes into plant cells can be carried out usingAgrobacterium$\text{Cacl}_{2}$ mediated plasmid uptakeElectroporationGene gun
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Which of the following statement(s) regarding trafficking in eukaryotic cells is(are) CORRECT?Dynamic binds $\text{GTP}$ and is involved in vesicle buddingDynamic is invo...
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Consider a random variable $X$ with mean $\mu_{x}=0.1$ and variance $\sigma_{x}^{2}=0.2.$ A new random variable $Y=2X+1$ is defined. The variance of the random variable $...
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For $x_{1}>0$ and $x_{2}>0,$ the value of $\displaystyle{}\lim_{x_{1} \to x_{2}}\frac{x_{1}-x_{2}}{x_{2}\ln\left(\frac{x_{1}}{x_{2}}\right)}$ is __________.
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Figure below depicts simplified metabolic and transport reactions taking place in the production of $\text{B}$ from $\text{A}$ in a cell. The subscript $ i\text{’}$ refer...
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The amount of biomass in a reactor at the end of the batch process is $50 \; \text{g}.$ Fed-batch operation is initiated by feeding the substrate solution at a constant r...
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An enzyme catalyzes the conversion of substrate $\text{A}$ into product $\text{B}.$ The rate equation for this reaction is$-r_{A}= \dfrac{\text{C}_{A}}{5+C_{A}} \text{mol...
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Liquid-phase mass transfer coefficient $(k_{L})$ is measured in a stirred tank vessel using steady-state method by sparging air. Oxygen uptake by the microorganism is mea...
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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 \; \text{K}...
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Consider the growth of $\textit{S. cerevisiae}$ under aerobic condition in a bioreactor and the specific growth rate of yeast is $0.5\; \text{h}^{-1}.$ The overall reacti...
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A pilot sterilization was carried out in a vessel containing $1000\; \text{m}^{3}$ medium with an initial spore concentration of $10^{8} \;\text{spores/ml.}$ The accepted...
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A circular plasmid has three different but unique restriction sites for enzymes $‘\text{a'}, ‘\text{b'}$ and $‘\text{c'}.$ When enzymes $‘\text{a'}$ and $‘\text{b'}$ are ...
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A bacterial strain is grown in nutrient medium at $37^{\circ}\text{C}$ under aerobic conditions. The medium is inoculated with $10^{2}$ cells from a seed culture. If the ...
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You should _________ when to say __________.no/nono / knowknow / knowknow / no
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Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...
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If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$
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In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...
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$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is...
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In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position.The only movement allowed for a step involves,...
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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 f...
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Consider the following sentences:Everybody in the class is prepared for the exam.Babu invited Danish to his home because he enjoys playing chess.Which of the following is...
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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 ...
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____________ is to $\textit{surgery}$ as $\textit{writer}$ is to __________Which one of the following options maintains a similar logical relation in the above sentence?P...
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There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.The probability that at least two chocolates are iden...
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Given below are two statements $1$ and $2$, and two conclusions $I$ and $II$.$\text{Statement 1}$: All bacteria are microorganisms.$\text{Statement 2}$: All pathogens are...
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Some people suggest anti-obesity measures $\text{(AOM)}$ such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems t...
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Coronavirus genome consists ofdouble-stranded $\text{DNA}$double-stranded $\text{RNA}$negative-sense single-stranded $\text{RNA}$positive-sense single-stranded $\text{RNA...
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The enzyme that transcribes the eukaryotic genes encoding precursor ribosomal $\text{RNAs}\; (\text{pre-RNAs}$) of $28S$, $18S$ and $5.8S$ $\text{rRNA}$s is$\text{RNA}$ p...
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Number of unrooted trees in a phylogeny of five sequences is$3$$15$$105$$945$
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Which one of the following methods is used to test the significance of a predicted phylogeny?BootstrapMaximum likelihoodMaximum parsimonyMinimum evolution
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The Cartesian coordinates $(x,y)$ of a point $A$ with polar coordinates $\left ( 4, \pi/4 \right)$ is$ \left( \sqrt{3}, 2 \sqrt{2} \right )$$ \left( 2, 2 \sqrt{3} \right ...
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The order of genes present in a chromosome is as followsWhich one of the following rearrangements represents a paracentric inversion?
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Which one of the following statements is $\text{INCORRECT}$ about hybridoma production?Hybridoma cella can use hypoxanthine and thymidine$\text{DNA}$ synthesis in myeloma...
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$\dfrac{d}{dx} \left [ \ln (2x) \right ]$ is equal to$1/2x \\$$1/x \\$$1 /2 \\$$x$
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Which one of the following techniques/tools is $\text{NOT}$ used for inserting a foreign gene into a cell?$\text{DNA}$ microarrayElectroporationGene gunMicroinjection
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Under standard temperature $(T)$ and pressure $(P)$ conditions, $128 \: g$ of an ideal has molecule $A$ occupies a volume of $1 \: L$. The gas molecule $A$ obeys the rela...
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$\text{CRISPR-Cas}$ system is associated withadaptive immunity in eukaryotesadaptive immunity in prokaryotesinnate immunity in eukaryotesinnate immunity in prokaryotes