Recent questions tagged numerical-answers / GO BioTechnology

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161

GATE2018-43
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________

If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________

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gatecse asked Feb 20, 2018

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162

GATE2018-42
The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________

The probability distribution for a discrete random variable $X$ is given below. $$\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0...

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gatecse asked Feb 20, 2018

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163

GATE2018-41
Calculate the following integral (up to two decimal places) $\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$

Calculate the following integral (up to two decimal places)$$\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$$

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gatecse asked Feb 20, 2018

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164

GATE2018-46
A microbial strain is cultured in a $100$ L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is $0.4 \: h^{-1}$ and the oxygen solubility in the broth is $8 $ ... $s^{-1}$) of oxygen required to achieve a maximum cell concentration of $12$ g/L is (up to two decimal places) ___________

A microbial strain is cultured in a $100$ L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is $0.4 \: h^{-1}$ and the oxygen...

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gatecse asked Feb 20, 2018

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165

GATE2018-45
An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water to solvent is $85$, then the extraction factor is ________

An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water ...

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gatecse asked Feb 20, 2018

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166

GATE2018-44
Moist heat sterilization of spores at $121 ^\circ C$ follows first order kinetics as per the expression: $\dfrac{dN}{dt}=-k_dN$ where, $N$ is the number of viable spores, $t$I is the time, $k_d$ is the rate constant and $\dfrac{dN}{dt}$ is the rate of ... the number of viable spores from an initial value of $10^{10}$ to a final value of $1$ is (up to two decimal places) __________

Moist heat sterilization of spores at $121 ^\circ C$ follows first order kinetics as per the expression: $$\dfrac{dN}{dt}=-k_dN$$ where, $N$ is the number of viable spore...

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gatecse asked Feb 20, 2018

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167

GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________

The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 1)$ is equal to (up to two decimal places) ____________

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gatecse asked Feb 20, 2018

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168

GATE2018-21
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________

The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________

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gatecse asked Feb 20, 2018

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169

GATE2018-25
Genomic DNA isolated from a bacterium was digested with a restriction enzyme that recognizes a $6$-base pair (bp) sequence. Assuming random distribution of bases, the average length (in bp) of the fragments generated is __________

Genomic DNA isolated from a bacterium was digested with a restriction enzyme that recognizes a $6$-base pair (bp) sequence. Assuming random distribution of bases, the ave...

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gatecse asked Feb 20, 2018

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170

GATE2018-24
A single stem cell undergoes $10$ asymmetric cell divisions. The number of stem cells at the end is _________

A single stem cell undergoes $10$ asymmetric cell divisions. The number of stem cells at the end is _________

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gatecse asked Feb 20, 2018

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171

GATE2018-23
The absorbance of a solution of tryptophan measured at $280$ nm in a cuvette of $2.0$ cm path length is $0.56$ at pH $7$. The molar extinction coefficient $(\varepsilon)$ for tryptophan at $280$ nm is $5600$ $M^{-1}$ $cm^{-1}$ at pH $7$. The concentration of tryptophan (in $\mu M$) in the solution is __________

The absorbance of a solution of tryptophan measured at $280$ nm in a cuvette of $2.0$ cm path length is $0.56$ at pH $7$. The molar extinction coefficient $(\varepsilon)$...

gatecse

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gatecse asked Feb 20, 2018