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Recent questions tagged gatebt-2024
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41
GATE BT 2024 | Question: 38
Under which of the following conditions, a mammalian somatic cell fails to undergo mitosis during cell cycle? Initiation of cell plate formation Incomplete DNA replication Chiasmata formation Irreparable DNA damage
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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GATE BT 2024 | Question: 39
Which of the following is/are synthetic auxin(s) that does/do NOT occur naturally? $2,4$-Dichlorophenoxyacetic acid Indole-$3$-acetic acid Indole-$3$-butyric acid $1$-Naphthaleneacetic acid
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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43
GATE BT 2024 | Question: 43
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 maximum Substrate concentration in the exit stream is less than that in the inlet stream ... in the exit stream is equal to that in the inlet stream Substrate concentration in the exit stream is zero
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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44
GATE BT 2024 | Question: 44
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 direction and is heated from $10^{\circ} \mathrm{C}$ ... Temperature Difference (LMTD) is $\_\_\_\_\_\_\_$ ${ }^{\circ} \mathrm{C}$ (rounded off to the nearest integer).
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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45
GATE BT 2024 | Question: 45
Aspergillus niger is grown in a $10,000$ ... concentration is $\_\_\_\_\_\_\_$ $\mathrm{kg} \mathrm{m}^{-3}$ (Answer in integer).
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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46
GATE BT 2024 | Question: 46
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 $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ and $1 \mathrm{cp}$, respectively. The data relating the Power number and ... for the stirrer to operate at $300 \mathrm{rpm}$ is $\_\_\_\_\_\_$ $\mathrm{kW}$ (Answer in integer).
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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47
GATE BT 2024 | Question: 47
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 $\alpha$-glycerophosphate to glycerol is $-8.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$ ... $\_\_\_\_\_\_\_\_$ $\mathrm{kJ} \mathrm{mol}^{-1}$ (Answer in integer).
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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48
GATE BT 2024 | Question: 48
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 cells is $10^6$. Assuming cell divides by binary fission, the number of generations that have taken place is $\_\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
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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49
GATE BT 2024 | Question: 49
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 $200 \mathrm{~L}$ ... medium in the fermentor after $10 \mathrm{~min}$ of leakage is $\_\_\_\_\_\_\_\_$ $\text{L}$ (Answer in integer).
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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GATE BT 2024 | Question: 50
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 a constant sterile inlet feed at $50 \mathrm{~L} \mathrm{~h}^{-1}$ of glucose. The culture kinetic ... reactor will be $\_\_\_\_\_\_\_\_$ $\mathrm{g} \mathrm{L}^{-1}$ (rounded off to one decimal place).
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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GATE BT 2024 | Question: 51
Consider scale-up of fungal fermentation from a $20 \mathrm{~L}$ model-type to $20,000 \mathrm{~L}$ ... is constant shear. The impeller speed in the prototype reactor will be $\_\_\_\_\_\_\_$ rm (Answer in integer).
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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52
GATE BT 2024 | Question: 52
If $\vec{v}=\left(\begin{array}{l}2 \\ 2 \\ 2\end{array}\right)$ is an eigenvector of the matrix $\left(\begin{array}{lll}1 & 2 & 3 \\ 1 & 2 & 3 \\ 1 & 2 & 3\end{array}\right)$ corresponding to the non-zero eigenvalue, $\lambda$, then the value of $\lambda$ is $\_\_\_\_\_\_\_\_$.
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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53
GATE BT 2024 | Question: 53
The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ is $\_\_\_\_\_\_\_\_$.
The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ is $\_\_\_\_\_\_\_\_$.
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GATE BT 2024 | Question: 54
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 $\_\_\_\_\_\_\_\_\_$.
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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GATE BT 2024 | Question: 55
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 $2$ decimal places).
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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GATE BT 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words $[$ dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\rightarrow$ fast $\rightarrow \_\_\_\_\_\_$ ]. Which one of the given options is appropriate to fill the blank? starve reject feast deny
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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GATE BT 2024 | GA Question: 2
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 $x$ and not on $y$ depends only on $y$ and not on $x$ is a constant
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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GATE BT 2024 | GA Question: 3
Consider the following sample of numbers: \[ 9,18,11,14,15,17,10,69,11,13 \] The median of the sample is $13.5$ $14$ $11$ $18.7$
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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GATE BT 2024 | GA Question: 4
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 is $21 \%$ $14 \frac{2}{7} \%$ $10 \%$ $30 \%$
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 ₹ $5$...
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GATE BT 2024 | GA Question: 5
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 $79$ $81$ $9$ $83$
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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GATE BT 2024 | GA Question: 6
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, while he had a head __(iii)__ batting, he could only do so with a cool head __(iv)__ his shoulders ... ) down (iii) for (iv) on (i) down (ii) out (iii) for (iv) on (i) on (ii) out (iii) on (iv) for
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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GATE BT 2024 | GA Question: 7
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 tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is $1 / \pi$ $2 / \pi$ $3 / \pi$ $4 / \pi$
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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GATE BT 2024 | GA Question: 8
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{kcal} / \mathrm{g})$ of these macronutrients is given in the table. \begin{array}{|l|c|} \ ... {array} The total fat (all three types), in grams, this person consumes is $44.4$ $77.8$ $100$ $3,600$
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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GATE BT 2024 | GA Question: 9
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. The perimeter of the final folded sheet (in $\mathrm{cm})$ is $18$ $24$ $20$ $21$
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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GATE BT 2024 | GA Question: 10
The least number of squares to be added in the figure to make AB a line of symmetry is $6$ $4$ $5$ $7$
The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$
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