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The total exports and revenues from the exports of a country are given in the two pie charts below.The pie chart for exports shows the quantity of each item as a percenta...
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$\text{If}$ $3 \le X \le 5 \text{ and } 8 \le Y \le 11 \text{ then which of the following options is TRUE?}$$\frac{3}{5} \le \frac{X}{Y} \le \frac{8}{5}$$\frac{3}{11} \le...
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An NMR spectrometer operating at proton resonance frequency $(v)$ of $1 \: \mathrm{GHz}$ will have a magnetic field strength of $\_\_\_\_$ Tesla (T).The gyromagnetic rati...
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Let $A=\left(\begin{array}{ccc}1 & 0 & 1 \\ 0 & k & 0 \\ 3 & 0 & -1\end{array}\right)$. If the eigenvalues of $A$ are $-2,1$, and $2$ , then the value of $k$ is $\_\_\_\_...
1 1 answer
A $2 \: \mathrm{L}$ bioreactor is being operated as a chemostat, at a flow rate of $0.8 \: \mathrm{~L} / \mathrm{h}$ and sterile feed of $10 \: \mathrm{~g} / \mathrm{L}$ ...
1 1 answer
A hot, freshly-sterilised fermentation medium is cooled in a double-pipe heat-exchanger. The medium enters the inner pipe of the exchanger at $95^{\circ} \mathrm{C}$ and ...
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The percentage of light that would pass through a sample with an absorbance of $2$ would be $\_\_\_\_\_$ $\%$ .(Round off to the nearest integer)
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Let $a_{0}=0$ and define $a_{n}=\frac{1}{2}\left(1+a_{n-1}\right)$ for all positive integers $n \geq 1$. The least value of $n$ for which $\left|1-a_{n}\right|<\frac{1}{2...
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In a fermentation process, each mole of glucose is converted to biomass $\left(\mathrm{CH}_{1.8} \mathrm{O}_{0.5} \mathrm{~N}_{0.2}\right)$, with a biomass yield coeffici...
1 1 answer
A binary mixture of benzene and toluene under vapour-liquid equilibrium at $80^{\circ} \mathrm{C}$ follows ideal Raoult's law. At this condition, the saturation pressures...
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​​​​​Which of the following amino acids contain(s) two chiral carbons?L-LeucineL-ThreonineL-IsoleucineL-Asparagine
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​​​​Which of the following methods is/are used for identifying histone modifications?ChIP-seqMass spectrometryImmunofluorescencePatch-clamp electrophysiology
1 1 answer
​​​​An enzyme immobilised in a porous spherical pellet, catalyses a strongly mass-transfer limited first-order reaction. The effectiveness factor for the immobilised enzy...
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​​​The blood group of the mother is $\mathrm{A}^{+}$and that of the father is $\mathrm{AB}^{+}$. Which of the following statements is/are correct?Probability of the offsp...
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​​​​Which of the following statements is/are true about telomerase?Telomerase has $5^{\prime}-3^{\prime}$ DNA-dependent DNA polymerisation activityTelomerase has $5^{\pri...
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​​​​Which of the following proteins is/are involved in intraflagellar transport?MicrotubulesMyosinActinKinesin
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​​​​Which of the following statements about initiation of DNA replication in eukaryotes is/are true?DNA replication is initiated at the origin of replication licensed by ...
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​​​​​Which of the following statements is/are true regarding the effect of the concentration of metabolic intermediates on glycolysis in erythrocytes?Increased AMP levels...
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​​​​Correctly match the herbicide with its mode of development of resistance in plants.\begin{array}{|l|l|}\hline \textbf{Herbicide } & \textbf{Mode of development of res...
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​​​​Correctly match the following Bioinformatic tool/Database with its respective Utility.\begin{array}{|l|l|}\hline \textbf{Bioinformatic tool/Database} & \textbf{Utilit...
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​​​​If the function$$ f(x)=\left\{\begin{array}{ll}\sin 2 x, & \text { for } x>0 \\a+b x, & \text { for } x \leq 0\end{array}\right.$$where $a$ and $b$ are constants, is ...
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​​Let $m$ and $n$ be fixed real numbers. If the function $y(t)=C_{1} e^{t}+C_{2} e^{-t}$ is a solution of$$ \frac{d^{2} y}{d t^{2}}+m \frac{d y}{d t}+n y=0$$for any const...
1 1 answer
​​​​For a specific bioreactor configuration, the power requirement for a Rushton-turbine impeller agitating an unaerated Newtonian fluid in the turbulent regime will bepr...
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​​​​​The output $y(t)$ of a first-order process is governed by the following differential equation\[\tau_{p} \frac{d y}{d t}+y=K_{p} f(t)\]where $\tau_{p}$ is a non-zero ...
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​​​​A thermometer measuring body temperature follows a first-order response with a time constant of $40$ seconds. The instrument will reach $95 \%$ of its steady-state ou...
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​​​​Correctly match the Coenzyme with its respective involvement in a specific Reaction type.\begin{array}{|l|l|}\hline \textbf{Coenzyme } & \textbf{Reaction type} \\\hli...
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Correctly match the Enzyme with its respective Function.\begin{array}{|l|l|}\hline \textbf{ Enzyme } & \textbf{ Function } \\\hline \text{P. Gyrase} & 1. \text{Removes a ...
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​​​Correctly match the type of Hypersensitivity reaction with its respective Example.$$\begin{array}{|l|l|}\hline \textbf{Hypersensitivity reaction} & \textbf{Example} \\...
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​​​​​An octapeptide composed of these $L$-amino acids - Lys, Thr, Ser, Met, Arg, Trp, Tyr, Glu - was subjected to analyses with the following outcomes:$\text{P}$. The N-t...
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Correctly match the Inhibitor with its respective Function in mitochondrial respiration.\[\begin{array}{|l|}\hline\begin{array}{l|l}\textbf{Inhibitor} & \textbf{Function}...
1 1 answer
​​​Correctly match the Microorganisms with their respective Nutrition and energy requirement.\[\begin{array}{|l|}\hline\begin{array}{l|l}\textbf{Microorganisms} & \textbf...
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Two fair six-sided dice, with sides numbered $1$ to $6$ , are thrown once. The probability of getting $7$ as the sum of the numbers on the top side of the dice is $\_\_\_...
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The value of $k$, for which the linear equations $2 x+3 y=6$ and $4 x+6 y=3 k$ have at least one solution, is $\_\_\_\_\_$ (Answer in integer)
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Consider a nonlinear algebraic equation, $e^{x}-2=0$. Using the Newton-Raphson method, with the initial guess of $x_{0}=1$, the approximated value of the root of the equa...
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Within the Michaelis-Menten framework, the ratio of $v_{0} / V_{\max }$ when $[\mathrm{S}]=20 \times K_{\mathrm{m}}$ is $\_\_\_\_\_$(Round off to two decimal places)
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The contour length of a B-DNA molecule that encodes a bacterial protein of $33 \: \text{kDa}$ is $\_\_\_\_$ $\mathrm{ nm}$.Consider the average molecular weight of an ami...
1 1 answer
The allele associated with albinism in humans is recessive $(c)$. The probability that an albino male $(cc)$ and a carrier female ( $C c$ ) will have an offspring with no...
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For a mechanically reversible isobaric process taking place in a closed system involving $5$ moles of an ideal gas, the temperature increases from an initial value of $30...
1 1 answer
If the doubling time of a bacterial population is $3$ hours, then its average specific growth rate during this period is $\_\_\_\_\_$ $\mathrm{h}^{-1}$.(Round off to two ...
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​​​​A recombinant protein is secreted extracellularly in soluble form by an $E. coli$ culture. Which of the following downstream processes is/are involved in the purifica...