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241
GATE BT 2021 | Question: 20
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
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242
GATE BT 2021 | Question: 21
Three balls, colored in blue, green and red, are successively transferred from box $A$ to box $B$ in the order $\text{BLUE-GREEN-RED.}$ The probability of a reverse transfer of the balls to the box $A$ in the same order (rounded off to two decimal places) is ____________
Three balls, colored in blue, green and red, are successively transferred from box $A$ to box $B$ in the order $\text{BLUE-GREEN-RED.}$ The probability of a reverse trans...
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243
GATE BT 2021 | Question: 22
Decimal reduction time of a bacterial strain is $20 \textit{ min}$. Specific death rate constant in $\textit{min}^{-1}$ (rounded off to two decimal places) is ___________
Decimal reduction time of a bacterial strain is $20 \textit{ min}$. Specific death rate constant in $\textit{min}^{-1}$ (rounded off to two decimal places) is ___________...
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244
GATE BT 2021 | Question: 23
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
The value of $\underset{x \to 0} \lim \left [ \dfrac{x- \sin 2x}{x-\sin 5x} \right]$ (rounded off to two decimal places) is __________
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245
GATE BT 2021 | Question: 25
The enzyme $\alpha$-amylase used in starch hydrolysis has an affinity constant $(K_m)$ value of $0.005 \: M$. To achieve one-fourth of the maximum rate of hydrolysis, the required starch concentration $mM$ (rounded off to two decimal places) is ____________
The enzyme $\alpha$-amylase used in starch hydrolysis has an affinity constant $(K_m)$ value of $0.005 \: M$. To achieve one-fourth of the maximum rate of hydrolysis, the...
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246
GATE BT 2021 | Question: 26
Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, respectively.
Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, ...
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247
GATE BT 2021 | Question: 27
Match enzymes in $\text{Group I}$ with their corresponding industrial application in $\text{Group II}$ ... $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-3, S-4$ $P-1, Q-4, R-2, S-3$
Match enzymes in $\text{Group I}$ with their corresponding industrial application in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Gro...
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248
GATE BT 2021 | Question: 28
Match separation methods in $\text{Group I}$ with associated properties in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-1, Q-3, R-2, S-4$ $P-1, Q-2, R-4, S-3$
Match separation methods in $\text{Group I}$ with associated properties in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ ...
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249
GATE BT 2021 | Question: 29
Match the autoimmune diseases in $\text{Group I}$ with the corresponding primarily affected organ in $\text{Group II}$ ... $P-3, Q-1, R-2, S-4$ $P-4, Q-2, R-1, S-3$ $P-1, Q-2, R-4, S-3$
Match the autoimmune diseases in $\text{Group I}$ with the corresponding primarily affected organ in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I...
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250
GATE BT 2021 | Question: 30
Match hypersensitivity types in $\text{Group I}$ with their corresponding condition in $\text{Group II}$ ... $P-3, Q-1, R-4, S-2$ $P-2, Q-3, R-4, S-1$ $P-2, Q-1, R-3, S-4$
Match hypersensitivity types in $\text{Group I}$ with their corresponding condition in $\text{Group II}$.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{G...
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251
GATE BT 2021 | Question: 31
Which of the following combinations of plant hormones and their associated function are $\text{CORRECT}$ ... $P$ and $R$ only $P$ and $S$ only $Q$ and $R$ only $Q$ and $S$ only
Which of the following combinations of plant hormones and their associated function are $\text{CORRECT}$?$$\begin{array}{|l|l|l|} \hline & \textbf{Hormone} & \textbf{Func...
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252
GATE BT 2021 | Question: 32
Which one of the following tools is used to compare all the possible six-open reading frames of a given nucleotide query sequence with all the available six-open reading frames of the nucleotide sequence database? $\text{BLASTN}$ $\text{BLASTX}$ $\text{TBLASTN}$ $\text{TBLASTX}$
Which one of the following tools is used to compare all the possible six-open reading frames of a given nucleotide query sequence with all the available six-open reading ...
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254
GATE BT 2021 | Question: 34
Tertiary structure of a protein consisting of $\alpha$-helices and $\beta$-strands can be determined by circular dichroism spectroscopy mass spectrometry nuclear magnetic resonance spectroscopy $\text{UV}$ spectroscopy
Tertiary structure of a protein consisting of $\alpha$-helices and $\beta$-strands can be determined bycircular dichroism spectroscopymass spectrometrynuclear magnetic re...
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255
GATE BT 2021 | Question: 35
Which of the following statement(s) is/are $\text{CORRECT}$ about $\textit{Agrobacterium tumefaciens}$? It contains tumor inducing plasmid It causes crown gall disease in dicotyledonous plants It is a Gram-positive soil bacterium It is used in generating transgenic plants
Which of the following statement(s) is/are $\text{CORRECT}$ about $\textit{Agrobacterium tumefaciens}$?It contains tumor inducing plasmidIt causes crown gall disease in d...
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256
GATE BT 2021 | Question: 36
Which of the following antimicrobial agent(s) is/are growth factor analog(s)? $5$-Fluorouracil Isoniazid Sulfanilamide Tetracycline
Which of the following antimicrobial agent(s) is/are growth factor analog(s)?$5$-FluorouracilIsoniazidSulfanilamideTetracycline
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257
GATE BT 2021 | Question: 37
Which of the following chemical messenger(s) is/are derivative(s) of tryptophan? $\gamma$-amino butyric acid Indole acetic acid Melatonin Serotonin
Which of the following chemical messenger(s) is/are derivative(s) of tryptophan?$\gamma$-amino butyric acidIndole acetic acidMelatoninSerotonin
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258
GATE BT 2021 | Question: 38
Which of the following nucleus/nuclei is/are $\text{NMR}$ active? $^1H$ $^{13}C$ $^{16}O$ $^{32}S$
Which of the following nucleus/nuclei is/are $\text{NMR}$ active?$^1H$$^{13}C$$^{16}O$$^{32}S$
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261
GATE BT 2021 | Question: 41
If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________
If the area of a triangle with the vertices $(k,0), (2,0)$ and $(0, -2)$ is $2$ square units, the value of $k$ is _________
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263
GATE BT 2021 | Question: 43
If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to one decimal place) is ________.
If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to on...
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264
GATE BT 2021 | Question: 44
The determinant of matrix $A = \begin{pmatrix} 1 & 1& 1 & 1 \\ -1 & 1 & 1 & 1 \\ -1 & -1 & 1 & 1 \\ 1 & 1 & 1 & 3 \end{pmatrix}$ is __________.
The determinant of matrix $A = \begin{pmatrix} 1 & 1& 1 & 1 \\ -1 & 1 & 1 & 1 \\ -1 & -1 & 1 & 1 \\ 1 & 1 & 1 & 3 \end{pmatrix}$ is __________.
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266
GATE BT 2021 | Question: 46
The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is $0.15 \: h^{-1}$. If the cell concentration at $30 \: h$ is $33\: g L^{-1}$, the cell concentration in $g \: L^{-1}$ (rounded off to the nearest integer) at $24 \: h$ is ________.
The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is $0.15 \: h^{-1}$. If the cell concentration at $30 \: h$ is $33\: g L^...
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268
GATE BT 2021 | Question: 48
In a random mating population, $Y$ and $y$ are dominant and recessive alleles, respectively. If the frequency of $Y$ allele in both sperm and egg is $0.70$, then the frequency $Y/y$ heterozygotes (rounded off to two decimal places) is ___________.
In a random mating population, $Y$ and $y$ are dominant and recessive alleles, respectively. If the frequency of $Y$ allele in both sperm and egg is $0.70$, then the freq...
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269
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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274
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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275
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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276
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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277
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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278
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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279
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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280
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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