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41
GATE BT 2024 | Question: 41
Which of the following conditions induce(s) the expression of $\beta$-galactosidase gene in the lac operon? Absence of glucose Absence of lactose Presence of glucose Presence of lactose
Which of the following conditions induce(s) the expression of $\beta$-galactosidase gene in the lac operon?Absence of glucoseAbsence of lactosePresence of glucosePresence...
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Mar 25
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42
GATE BT 2024 | Question: 42
Which of the following factors can affect the growth of a microbial culture in a batch cultivation process? $\mathrm{pH}$ of the medium Osmolarity of the medium Substrate concentration in the medium Substrate feed rate
Which of the following factors can affect the growth of a microbial culture in a batch cultivation process?$\mathrm{pH}$ of the medium Osmolarity of the mediumSubstrate c...
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Mar 25
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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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Mar 25
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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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2.7k
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Mar 25
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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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Mar 25
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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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Mar 25
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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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Mar 25
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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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Mar 25
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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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Mar 25
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50
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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Mar 25
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51
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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Mar 25
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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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Mar 25
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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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54
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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Mar 25
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55
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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56
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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Mar 25
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57
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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Mar 25
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58
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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Mar 25
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59
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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Mar 25
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60
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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Mar 25
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61
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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Mar 25
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62
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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Mar 25
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63
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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Mar 25
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64
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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Mar 25
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65
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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Mar 25
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66
GATE2021
A batch cultivation of 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 ( ) L k a reaches its maximum value ( ) 1 ... the final cell concentration in 3 kg m− (rounded off to two decimal places) at the end of the batch cultivation is _
A batch cultivation of E. coli follows zeroth order Monod’s growth kinetics. The cell growth is terminated when the residual dissolved oxygen concentration attains 10% ...
DARSHAN KJ
120
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DARSHAN KJ
asked
Oct 20, 2023
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67
GATE BT 2023 | GA Question: 6
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement( ... $\text{(i)}$ and $\text{(ii)}$ $\text{(i), (ii)}$ and $\text{(iii)}$
Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that th...
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2.7k
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May 21, 2023
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68
GATE BT 2023 | GA Question: 8
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World ... Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.
The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an ad...
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May 21, 2023
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69
GATE BT 2023 | GA Question: 9
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________. $33$ $-3$ $30$ $21$
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________.$33$$-3$$30$$21$
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May 21, 2023
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70
GATE BT 2023 | GA Question: 10
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap. circle regular octagon regular pentagon rhombus
Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spa...
admin
2.7k
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May 21, 2023
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71
GATE BT 2023 | Question: 3
Determine the correctness or otherwise of the following Assertion $[\text{a}]$ and the Reason $[\mathrm{r}]$. Assertion $[\mathrm{a}]$: In multicellular organisms, cells of different lineages have different gene expression profiles. Reason $[\mathrm{r}]$: Alternative splicing ... not the correct reason for $[\mathrm{a}]$ $[\mathrm{a}]$ is true but $[\mathrm{r}]$ is false
Determine the correctness or otherwise of the following Assertion $[\text{a}]$ and the Reason $[\mathrm{r}]$.Assertion $[\mathrm{a}]$: In multicellular organisms, cells o...
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May 21, 2023
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72
GATE BT 2023 | Question: 4
Determine the correctness or otherwise of the following Assertion $[\text{a}]$ and the Reason $\text{[r]}$. Assertion $\text{[a]}$: Chromosome mutations can change the structure of chromosomes. Reason $\text{[r]}$ : All chromosome mutations arise due to nondisjunction of ... $[\mathrm{r}]$ are true but $[\mathrm{r}]$ is not the correct reason for $\text{[a]}$
Determine the correctness or otherwise of the following Assertion $[\text{a}]$ and the Reason $\text{[r]}$.Assertion $\text{[a]}$: Chromosome mutations can change the str...
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May 21, 2023
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73
GATE BT 2023 | Question: 5
C-value paradox refers to the lack of correlation between genome size and genetic complexity of an organism the presence of genetic sequences that propagate themselves within a genome the coexistence of multiple alleles at a genetic locus the concept that two or more genes may have the same function
C-value paradox refers tothe lack of correlation between genome size and genetic complexity of an organismthe presence of genetic sequences that propagate themselves with...
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May 21, 2023
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74
GATE BT 2023 | Question: 7
Dendritic cells are involved in cross-presentation of antigens. Which of the following protein(s) is(are) required for cross-presentation? P. Basic leucine zipper ATF-like transcription factor $3$ (BATF3) Q. Membrane associated ring-CH-type finger $1$ (MARCH-1) R. Solute carrier ... $\mathrm{R}$ only $\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ only $\text{S}$ only
Dendritic cells are involved in cross-presentation of antigens. Which of the following protein(s) is(are) required for cross-presentation?P. Basic leucine zipper ATF-like...
admin
2.7k
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May 21, 2023
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75
GATE BT 2023 | Question: 8
Which one of the following is required for the development of B-cells in the bone marrow? Stromal cells Dendritic cells Kupffer cells NK cells
Which one of the following is required for the development of B-cells in the bone marrow?Stromal cellsDendritic cellsKupffer cellsNK cells
admin
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May 21, 2023
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76
GATE BT 2023 | Question: 9
Which one of the following statements is TRUE about leghemoglobin? It binds oxygen to protect nitrogenase It binds hemoglobin to protect oxygenase It binds oxygen to protect hydrogenase It binds oxygen to protect oxygenase
Which one of the following statements is TRUE about leghemoglobin?It binds oxygen to protect nitrogenaseIt binds hemoglobin to protect oxygenaseIt binds oxygen to protect...
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2.7k
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May 21, 2023
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77
GATE BT 2023 | Question: 10
The correct sequence of events during bacteriophage infection of a bacterial cell is landing $\rightarrow$ attachment $\rightarrow$ tail contraction $\rightarrow$ penetration and unplugging $\rightarrow$ DNA ejection attachment $\rightarrow$ ... $\rightarrow$ tail contraction $\rightarrow$ landing $\rightarrow$ penetration and unplugging $\rightarrow$ DNA ejection
The correct sequence of events during bacteriophage infection of a bacterial cell islanding $\rightarrow$ attachment $\rightarrow$ tail contraction $\rightarrow$ penetrat...
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2.7k
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May 21, 2023
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78
GATE BT 2023 | Question: 11
Intracellular proteins are targeted for proteolytic degradation in proteasomes upon conjugation with ubiquitin integrin peptidase calreticulin
Intracellular proteins are targeted for proteolytic degradation in proteasomes upon conjugation with ubiquitinintegrinpeptidasecalreticulin
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2.7k
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May 21, 2023
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79
GATE BT 2023 | Question: 12
In ELISA, which of the following enzymes are conjugated to antibodies for detection of the analyte? P. Alkaline phosphatase Q. Trypsinase R. Horseradish peroxidase S. Amylase $\mathrm{P}$ and $\mathrm{R}$ $\text{P}$ and $\text{Q}$ $\text{Q}$ and $\text{S}$ $\mathrm{R}$ and $\mathrm{S}$
In ELISA, which of the following enzymes are conjugated to antibodies for detection of the analyte?P. Alkaline phosphataseQ. TrypsinaseR. Horseradish peroxidaseS. Amylase...
admin
2.7k
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May 21, 2023
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80
GATE BT 2023 | Question: 13
In hybridoma technology, which one of the following enzymes is absent in the myeloma cells that are used for monoclonal antibody production? Hypoxanthine-guanine phosphoribosyltransferase Alanine aminotransferase Triose phosphate isomerase Glycosyltransferase
In hybridoma technology, which one of the following enzymes is absent in the myeloma cells that are used for monoclonal antibody production?Hypoxanthine-guanine phosphori...
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2.7k
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May 21, 2023
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