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Recent questions tagged numerical-answers

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121
GATE2015-34
$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$ The system of linear equations in two variables shown above will have infinite solutions, if and only if, $b$ is equal to _________
$$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$$ The system of linear equations in two variables shown above will have infinite solutions, if and onl...
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126
GATE2015-48
$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
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127
GATE2015-53
Consider the following multiple sequence alignment of four DNA sequences. $\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{array}$Shannon's entropy of the above alignment is ___________
Consider the following multiple sequence alignment of four DNA sequences.$$\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{arra...
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129
GATE2015-55
A heterozygous tall plant $(Tt)$ was crossed with a homozygous dwarf plant $(tt)$. The resultant seeds were collected. If five seeds are chosen at random, then the probability (in $\%$) that exactly two of these seeds will yiIeld dwarf plants is __________
A heterozygous tall plant $(Tt)$ was crossed with a homozygous dwarf plant $(tt)$. The resultant seeds were collected. If five seeds are chosen at random, then the probab...
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130
GATE2015-56
Assuming random distribution of nucleotides, the average number of fragments generated upon digestion of a circular DNA of size $4.3 \times 10^5$ bp with $\textit{Alu}I (5 ' – AG \downarrow CT-3' )$ is _________$ \times 10^3$
Assuming random distribution of nucleotides, the average number of fragments generated upon digestion of a circular DNA of size $4.3 \times 10^5$ bp with $\textit{Alu}I (...
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133
GATE2015-63
Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the samples were taken during the log phase of cell growth, the generation time of this bacterium will be ________$h$.
Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the sam...
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134
GATE2014-GA-4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$. The average time between successive occurrences of such earthquakes is_____ years.
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$. The average time between successive occurrenc...
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136
GATE2014-2
If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$
If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$
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137
GATE2014-4
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
The limit of the function $e^{-2t}\sin (t)$ as t $\rightarrow\infty$ so, is
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139
GATE2014-14
A bacterium belonging to cocci group has a diameter of $2\:\mu m.$ The numerical value of the ratio of its surface area to volume (in $\mu m^{-1}$) is _______.
A bacterium belonging to cocci group has a diameter of $2\:\mu m.$ The numerical value of the ratio of its surface area to volume (in $\mu m^{-1}$) is _______.
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141
GATE2014-31
Consider a continuous culture provided with a sterile feed containing $10$ ... $\mu _m$ (in $h^{-1}$), will be _________.
Consider a continuous culture provided with a sterile feed containing $10$ mM glucose. The steady state cell density and substrate concentration at three different diluti...
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143
GATE2014-37
Consider a population of $10,000$ individuals, of which $2500$ are homozygotes (PP) and $3000$ are heterozygotes (Pp) genotype. The frequency of allele p in the population is_________.
Consider a population of $10,000$ individuals, of which $2500$ are homozygotes (PP) and $3000$ are heterozygotes (Pp) genotype. The frequency of allele p in the populatio...
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144
GATE2014-41
In a mouse genome, the numbers of functional $V\alpha, J\alpha, V\beta, D\beta, J\beta$ gene segments are $\text{79, 38, 21, 2 and 11,}$ respectively. The total number of possible combinations for $\alpha\beta$ $T$ cell receptors are ___________$\times10^6 .$
In a mouse genome, the numbers of functional $V\alpha, J\alpha, V\beta, D\beta, J\beta$ gene segments are $\text{79, 38, 21, 2 and 11,}$ respectively. The total number of...
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145
GATE2014-43
In an affine gap penalty model, if the gap opening penalty $-20$, gap extension penalty is $-4$ and gap length is $8$, the gap score is__________.
In an affine gap penalty model, if the gap opening penalty $-20$, gap extension penalty is $-4$ and gap length is $8$, the gap score is__________.
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146
GATE2013-45
One percent of the cars manufactured by a company are defective. What is the probability (upto four decimals) that more than two cars are defective, if $100$ cars are produced? ______________
One percent of the cars manufactured by a company are defective. What is the probability (upto four decimals) that more than two cars are defective, if $100$ cars are pro...
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147
GATE2013-44
In a genetic study, $80$ people were found to have alleles for polydactyly. Only $36$ of them were polydactylous. What is the extent of penetrance percentage? _____________
In a genetic study, $80$ people were found to have alleles for polydactyly. Only $36$ of them were polydactylous. What is the extent of penetrance percentage? ___________...
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148
GATE2013-43
The total number of fragments generated by the complete and sequential cleavage of the polypeptide given below by Trypsin followed by $CNBr$ is __________. $Phe-Trp-Met-Gly-Ala-Lys-Leu-Pro-Met-Asp-Gly-Arg-Cys-Ala-Gln$
The total number of fragments generated by the complete and sequential cleavage of the polypeptide given below by Trypsin followed by $CNBr$ is __________.$Phe-Trp-Met-Gl...
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149
GATE2013-25
In a batch culture, the specific rate of substrate utilization is $\text{0.25 g (g cell mass)}$^{-1} h^{-1}$ and specific rate of product formation is $\text{0.215 g (g cell mass)}$^{-1}h^{-1}$ . Calculate the yield of product from the substrate$(Y_{p/s})$._______________
In a batch culture, the specific rate of substrate utilization is $\text{0.25 g (g cell mass)}$$^{-1} h^{-1}$ and specific rate of product formation is $\text{0.215 g (g ...
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150
GATE2013-24
Calculate the percentage sequence identity for the pairwise alignment given below. ______________ $\text{HELLO-}$ $\text{YELLOW}$
Calculate the percentage sequence identity for the pairwise alignment given below. ______________$\text{HELLO-}$$\text{YELLOW}$
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151
GATE2013-21
A callus of $\text{5 g}$ dry weight was inoculated on semi-solid medium for growth. The dry weight of the callus was found to increase by $1.5$ fold after $10$ days of inoculation. The growth index of the culture is ____________.
A callus of $\text{5 g}$ dry weight was inoculated on semi-solid medium for growth. The dry weight of the callus was found to increase by $1.5$ fold after $10$ days of in...
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157
GATE2018-50
At the end of a batch culture, glucose solution is added at a flow rate of $200 \: ml/h$. If the culture volume after $2$ h of glucose addition is $1000$ ml, the initial culture volume (in ml) is _________
At the end of a batch culture, glucose solution is added at a flow rate of $200 \: ml/h$. If the culture volume after $2$ h of glucose addition is $1000$ ml, the initial ...
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158
GATE2018-49
Yeast converts glucose to ethanol and carbon dioxide by glycolysis as per the following reaction: $C_6H_{12}O_6 \to 2C_2H_5OH + 2CO_2$Assuming complete conversion, the amount of ethanol produced (in $g$) from $200 \: g$ of glucose is (up to two decimal places) ____________
Yeast converts glucose to ethanol and carbon dioxide by glycolysis as per the following reaction: $$C_6H_{12}O_6 \to 2C_2H_5OH + 2CO_2$$Assuming complete conversion, the ...
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159
GATE2018-48
Mammalian cells in active growth phase were seeded at a density of $1 \times 10^5$ cells/ml. After $72$ hours, $1 \times 10^6$ cells/ml were obtained. The population doubling time of the cells in hours is (up to two decimal places) ________________
Mammalian cells in active growth phase were seeded at a density of $1 \times 10^5$ cells/ml. After $72$ hours, $1 \times 10^6$ cells/ml were obtained. The population doub...
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