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GATE BT 2023 | Question: 36
The following reaction represents biomass synthesis from hexadecane ... represents the biomass. The value of respiratory quotient (rounded off to two decimal places) is ___________.
The following reaction represents biomass synthesis from hexadecane$\mathrm{C}_{16} \mathrm{H}_{34}+12.5 \mathrm{O}_2+2.13 \mathrm{NH}_3 \rightarrow 10.6 \mathrm{CH}_{1.6...
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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 | 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: 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: 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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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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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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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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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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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: 37
Which of the following is/are considered as biotic elicitor(s) in plant cell culture? Cellulase Chitin Chitosan Mercuric chloride
Which of the following is/are considered as biotic elicitor(s) in plant cell culture?CellulaseChitinChitosanMercuric chloride
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GATE BT 2024 | Question: 33
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution. convergent divergent neutral parallel
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution.convergentdivergentneutralparallel
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GATE BT 2024 | Question: 25
The decimal reduction time of a microbe during sterilization at $120{ }^{\circ} \mathrm{C}$ with a first order thermal death rate constant of $1 \mathrm{~min}^{-1}$ will be $\_\_\_\_\_\_\_$ min (rounded off to $1$ decimal place).
The decimal reduction time of a microbe during sterilization at $120{ }^{\circ} \mathrm{C}$ with a first order thermal death rate constant of $1 \mathrm{~min}^{-1}$ will ...
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GATE BT 2024 | Question: 24
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
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GATE BT 2024 | Question: 23
The degree of reduction (reductance) for oxalic acid $\left(\mathrm{C}_2 \mathrm{H}_2 \mathrm{O}_4\right)$ is $\_\_\_\_\_\_$.
The degree of reduction (reductance) for oxalic acid $\left(\mathrm{C}_2 \mathrm{H}_2 \mathrm{O}_4\right)$ is $\_\_\_\_\_\_$.
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GATE BT 2024 | Question: 20
The solution of the differential equation $\frac{d y}{d x}=y+e^{-x}$ that satisfies $y(0)=-\frac{1}{2}$ is $\_\_\_\_\_\_\_$. $-\frac{1}{2} e^{-\frac{x}{2}}$ $-\frac{1}{2} e^{x}$ $-\frac{1}{2} e^{-x}$ $-\frac{1}{2} e^{\frac{x}{2}}$
The solution of the differential equation $\frac{d y}{d x}=y+e^{-x}$ that satisfies $y(0)=-\frac{1}{2}$ is $\_\_\_\_\_\_\_$.$-\frac{1}{2} e^{-\frac{x}{2}}$$-\frac{1}{2} e...
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GATE BT 2024 | Question: 19
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$. $\frac{1}{\sqrt{2}+1}$ $\frac{\sqrt{2}}{\sqrt{2}+1}$ $\frac{1}{\sqrt{2}-1}$ $\frac{\sqrt{2}}{\sqrt{2}-1}$
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$.$\frac{1}{\sqrt{2}+1}$$\frac{\sqrt{2}}{\sqrt{2}+1}$$\frac{1}{\s...
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GATE BT 2024 | Question: 18
A value of $k$ for which the linear equations $(k-1) x+3 y=0$ and $2 x+k y=0$ have a non-zero solution is $\_\_\_\_\_\_\_$. $1$ $2$ $3$ $4$
A value of $k$ for which the linear equations $(k-1) x+3 y=0$ and $2 x+k y=0$ have a non-zero solution is $\_\_\_\_\_\_\_$.$1$$2$$3$$4$
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GATE BT 2024 | Question: 17
All pseudogenes DO NOT code for a $\_\_\_\_\_\_\_$. protein with original function protein with altered function RNA with coding sequence RNA with regulatory function
All pseudogenes DO NOT code for a $\_\_\_\_\_\_\_$.protein with original functionprotein with altered functionRNA with coding sequenceRNA with regulatory function
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