Recent questions tagged gatebt-2024

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Under which of the following conditions, a mammalian somatic cell fails to undergo mitosis during cell cycle?Initiation of cell plate formationIncomplete DNA replicationC...
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Which of the following is/are synthetic auxin(s) that does/do NOT occur naturally?$2,4$-Dichlorophenoxyacetic acid Indole-$3$-acetic acidIndole-$3$-butyric acid$1$-Naphth...
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Under complete cell washout condition in a chemostat with sterile feed, which of the following statements is/are correct?Biomass concentration in the reactor is maximumS...
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Fermentation medium is cooled from $121^{\circ} \mathrm{C}$ to $30{ }^{\circ} \mathrm{C}$ in a double pipe heat exchanger. If cold water is flowing in the counter-current...
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Aspergillus niger is grown in a $10,000$ L stirred batch bioreactor under aerated conditions to produce citric acid. At steady state oxygen transfer conditions, the speci...
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Ethanol is produced in a $10,000$ L stirred bioreactor using an impeller of diameter $1 \mathrm{~m}$. The density and viscosity of fermentation broth are $1000 \mathrm{~k...
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The free energy change of ATP hydrolysis at $25^{\circ} \mathrm{C}$ is $-32.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The free energy change for hydrolysis of $\alpha$-glycerop...
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E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is $10^2$. After few hours, the number of viable ...
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A fermentor is filled with medium at a rate of $1 \mathrm{~L} \mathrm{~min}^{-1}$. A leak develops at the bottom of the fermentor when the medium in the fermentor reaches...
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A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At $2 \mathrm{~h}$, the culture volume is $500 \mathrm{~L}$ with...
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Consider scale-up of fungal fermentation from a $20 \mathrm{~L}$ model-type to $20,000 \mathrm{~L}$ prototype stirred tank reactor. The model-type and prototype have the ...
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If $\vec{v}=\left(\begin{array}{l}2 \\ 2 \\ 2\end{array}\right)$ is an eigenvector of the matrix $\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3\end{array}\r...
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The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ is $\_\_\_\_\_\_\_\_$.
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Let $y(x)=x^2 \ln x$ for $x>0$, be a solution of $x^2 \frac{d^2 y}{d x^2}+4 y=\alpha x \frac{d y}{d x}$. Then the value of $\alpha$ is $\_\_\_\_\_\_\_\_\_$.
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The absolute relative error in evaluating the integral $\int_0^1 x^2 d x$ by the trapezoidal rule with the step size $0.25$ is $\%$ $\_\_\_\_\_\_\_\_$ (rounded off to $2$...
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If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words $[$ dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\righta...
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If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$depends on $x y$depends only on $x$ an...
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Consider the following sample of numbers:\[9,18,11,14,15,17,10,69,11,13\]The median of the sample is$13.5$$14$$11$$18.7$
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The number of coins of ₹ $1$, ₹ $5$, and ₹ $10$ denominations that a person has are in the ratio $5: 3: 13$. Of the total amount, the percentage of money in ₹ $5$ coins i...
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For positive non-zero real variables $p$ and $q$, if\[\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,\]then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is$79$$8...
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In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.Steve was advised to keep his head __(i)_ before heading _(ii)__ to bat; for...
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A rectangular paper sheet of dimensions $54 \mathrm{~cm} \times 4 \mathrm{~cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tu...
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The pie chart presents the percentage contribution of different macronutrients to a typical $2,000$ $\mathrm{kcal}$ diet of a person.The typical energy density $(\mathrm{...
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A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....
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The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$