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241
GATE BT 2021 | Question: 49
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
Calculate the following integral $\int \limits_0^{\pi^2/4} \sin \sqrt{x} dx =$____________.
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246
GATE BT 2021 | Question: 54
The possible number of $\textit{Sal}\text{I}$ restriction sites in a $9\text{ kb}$ double-stranded $\text{DNA}$, with all four bases occurring in equal proportion (rounded off to the nearest integer) is _________
The possible number of $\textit{Sal}\text{I}$ restriction sites in a $9\text{ kb}$ double-stranded $\text{DNA}$, with all four bases occurring in equal proportion (rounde...
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247
GATE BT 2021 | Question: 55
A bacterium produces acetic acid from ethanol as per the following reaction $2CH_3CH_2OH+2O_2 \rightarrow 2CH_3COOH+2H_2O$ The thermodynamic maximum yield of acetic acid from ethanol in $g \: g^{-1}$ (rounded off to two decimal places) is ___________
A bacterium produces acetic acid from ethanol as per the following reaction $$2CH_3CH_2OH+2O_2 \rightarrow 2CH_3COOH+2H_2O$$ The thermodynamic maximum yield of acetic aci...
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248
GATE2019: 21
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
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249
GATE2019: 22
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
The median value for the dataset $\left ( 12, 10,16,8,90,50,30,24 \right )$ is ______________.
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250
GATE2019: 23
The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
The degree of reduction for acetic acid $\left ( C_{2} H_{4}O_{2}\right )$ is ____________.
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251
GATE2019: 24
The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
The mass of $1$ $kmol$ of oxygen molecules is ___________$g$ (rounded off to the nearest integer).
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252
GATE2019: 25
Protein concentration of a crude enzyme preparation was $10\:mg\:mL^{-1}$. $10\:\mu L$ of this sample gave an activity of $5\:\mu mol\:min^{-1}$ under standard assay conditions. The specific activity of this crude enzyme preparation is ____________ units $mg^{-1}$.
Protein concentration of a crude enzyme preparation was $10\:mg\:mL^{-1}$. $10\:\mu L$ of this sample gave an activity of $5\:\mu mol\:min^{-1}$ under standard assay cond...
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253
GATE2019: 26
In general, which one of the following statements is $NOT \;CORRECT$? Hydrogen bonds result from electrostatic interactions Hydrogen bonds contribute to the folding energy of proteins Hydrogen bonds are weaker than van der Waals interactions Hydrogen bonds are directional
In general, which one of the following statements is $NOT \;CORRECT$?Hydrogen bonds result from electrostatic interactionsHydrogen bonds contribute to the folding energy ...
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254
GATE2019: 27
For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated $DNA$? $KpnI$ $DpnI$ $XhoI$ $MluI$
For site-directed mutagenesis, which one of the following restriction enzymes is used to digest methylated $DNA$?$KpnI$$DpnI$$XhoI$$MluI$
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255
GATE2019: 28
Match the organelles in $Group\; I$ with their function in $Group\; II$ ... $P-1, Q-4, R-5, S-3$ $P-2, Q-5, R-3, S-4$ $P-1, Q-3, R-4, S-5$
Match the organelles in $Group\; I$ with their function in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Lysosome} & \text{1. Digestion...
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257
GATE2019: 30
Which one of the following is coded by the $ABO$ blood group locus in the human genome? Acyl transferase Galactosyltransferase Transposase $\beta$-Galactosidase
Which one of the following is coded by the $ABO$ blood group locus in the human genome?Acyl transferaseGalactosyltransferaseTransposase$\beta$-Galactosidase
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258
GATE2019: 31
Which of the following factors affect the fidelity of $DNA$ polymerase in polymerase chain reaction? $Mg^{2+}$ concentration $pH$ Annealing temperature $P$ and $Q$ only $P$ and $R$ only $Q$ and $R$ only $P, Q$ and $R$
Which of the following factors affect the fidelity of $DNA$ polymerase in polymerase chain reaction?$Mg^{2+}$ concentration$pH$Annealing temperature$P$ and $Q$ only$P$ an...
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259
GATE2019: 32
$Group\; I$ lists spectroscopic methods and $Group\; II$ lists biomolecular applications of these methods. Match the methods in $Group\; I$ with the applications in $Group\; II$ ... $P-4, Q-3, R-1$ $P-2, Q-1, R-3$ $P-1, Q-2, R-4$ $P-3, Q-2, R-4$
$Group\; I$ lists spectroscopic methods and $Group\; II$ lists biomolecular applications of these methods. Match the methods in $Group\; I$ with the applications in $Grou...
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261
GATE2019: 34
Antibody-producing hybridoma cells are generated by the fusion of a $T$ cell with a myeloma cell $B$ cell with a myeloma cell macrophage with a myeloma cell $T$ cell and a $B$ cell
Antibody-producing hybridoma cells are generated by the fusion of a$T$ cell with a myeloma cell$B$ cell with a myeloma cellmacrophage with a myeloma cell$T$ cell and a $B...
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262
GATE2019: 35
Which of the following statements are CORRECT about the function of fetal bovine serum in animal cell culture? lt stimulates cell growth It enhances cell attachment lt provides hormones and minerals It maintains $pH$ at $7.4$ $P$ and $Q$ only $P$ and $S$ only $P, Q$ and $R$ only $P, Q, R$ and $S$
Which of the following statements are CORRECT about the function of fetal bovine serum in animal cell culture?lt stimulates cell growthIt enhances cell attachmentlt provi...
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263
GATE2019: 36
Which one of the following covalent linkages exists between $7$-Methyl guanosine $(m^{7}G)$ and $mRNAs$? ${2}'-{3}'$ triphosphate ${3}'-{5}'$ triphosphate ${5}'-{5}'$ triphosphate ${2}'-{5}'$ triphosphate
Which one of the following covalent linkages exists between $7$-Methyl guanosine $(m^{7}G)$ and $mRNAs$?${2}'-{3}'$ triphosphate${3}'-{5}'$ triphosphate${5}'-{5}'$ tripho...
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264
GATE2019: 37
Which one of the following amino acid residues will destabilize an $\alpha$-helix when inserted in the middle of the helix? Pro Val lIe Leu
Which one of the following amino acid residues will destabilize an $\alpha$-helix when inserted in the middle of the helix?ProVallIeLeu
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265
GATE2019: 38
What is the solution of the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x}{y}$, with the initial condition, at $x=0, y=1?$ $x^{2}=y^{2}+1$ $y^{2}=x^{2}+1$ $y^{2}=2x^{2}+1$ $x^{2}-y^{2}=0$
What is the solution of the differential equation $\dfrac{\mathrm{dy} }{\mathrm{d} x}=\dfrac{x}{y}$, with the initial condition, at $x=0, y=1?$$x^{2}=y^{2}+1$$y^{2}=x^{2}...
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267
GATE2019: 40
Which of the following factors can influence the lag phase of a microbial culture in a batch fermentor? Inoculum size Inoculum age Medium composition $P$ and $Q$ only $Q$ and $R$ only $P$ and $R$ only $P, Q$ and $R$
Which of the following factors can influence the lag phase of a microbial culture in a batch fermentor?Inoculum sizeInoculum ageMedium composition$P$ and $Q$ only$Q$ and ...
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268
GATE2019: 41
Which one of the following statements is $CORRECT$ about proportional controllers? The initial change in control output signal is relatively slow The initial corrective action is greater for larger error They have no offset There is no corrective action if the error is a constant
Which one of the following statements is $CORRECT$ about proportional controllers?The initial change in control output signal is relatively slowThe initial corrective act...
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269
GATE2019: 42
Match the instruments in $Group\; I$ with their corresponding measurements in $Group\; II$ ... $P-3, Q-4, R-1, S-2$ $P-2, Q-4, R-1, S-3$ $P-2, Q-1, R-4, S-3$
Match the instruments in $Group\; I$ with their corresponding measurements in $Group\; II$.$$\begin{array}&&\textbf{Group I} & \textbf{Group II} \\ &\text{P. Manometer} ...
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275
GATE2019: 48
The molecular mass of a protein is $22\:kDa$. The size of the $\text{cDNA}$ (excluding the untranslated regions) that codes for this protein is __________ $kb$ (rounded off to $1$ decimal place).
The molecular mass of a protein is $22\:kDa$. The size of the $\text{cDNA}$ (excluding the untranslated regions) that codes for this protein is __________ $kb$ (rounded o...
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276
GATE2019: 49
A new game is being introduced in a casino. A player can lose Rs. $100$, break even, win Rs. $100$, or win Rs. $500$. The probabilities $(P(X))$ of each of these outcomes $(X)$ ... $\sigma$) for the casino payout is Rs. _____________ (rounded off to the nearest integer).
A new game is being introduced in a casino. A player can lose Rs. $100$, break even, win Rs. $100$, or win Rs. $500$. The probabilities $(P(X))$ of each of these outcomes...
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277
GATE2019: 50
$\int _{-1}^{1}\:f\left ( x \right )dx$ calculated using trapezoidal rule for the values given in the table is ______ (rounded off to $2$ ...
$\int _{-1}^{1}\:f\left ( x \right )dx$ calculated using trapezoidal rule for the values given in the table is ______ (rounded off to $2$ decimal places).$$\begin{array}{...
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