Questions by admin

Which of the following conditions induce(s) the expression of $\beta$-galactosidase gene in the lac operon?Absence of glucoseAbsence of lactosePresence of glucosePresence...

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...

Under complete cell washout condition in a chemostat with sterile feed, which of the following statements is/are correct?Biomass concentration in the reactor is maximumS...

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...

Ethanol is produced in a $10,000$ L stirred bioreactor using an impeller of diameter $1 \mathrm{~m}$. The density and viscosity of fermentation broth are $1000 \mathrm{~k...

The free energy change of ATP hydrolysis at $25^{\circ} \mathrm{C}$ is $-32.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The free energy change for hydrolysis of $\alpha$-glycerop...

A fermentor is filled with medium at a rate of $1 \mathrm{~L} \mathrm{~min}^{-1}$. A leak develops at the bottom of the fermentor when the medium in the fermentor reaches...

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 ...

The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ 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 $\_\_\_\_\_\_\_\_\_$.

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 $2$...

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words $[$ dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\righta...

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.Steve was advised to keep his head __(i)_ before heading _(ii)__ to bat; for...

A rectangular paper sheet of dimensions $54 \mathrm{~cm} \times 4 \mathrm{~cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tu...

The pie chart presents the percentage contribution of different macronutrients to a typical $2,000$ $\mathrm{kcal}$ diet of a person.The typical energy density $(\mathrm{...

A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....

The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that th...

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an ad...

The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________.$33$$-3$$30$$21$

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spa...

Determine the correctness or otherwise of the following Assertion $[\text{a}]$ and the Reason $[\mathrm{r}]$.Assertion $[\mathrm{a}]$: In multicellular organisms, cells o...

Determine the correctness or otherwise of the following Assertion $[\text{a}]$ and the Reason $\text{[r]}$.Assertion $\text{[a]}$: Chromosome mutations can change the str...

C-value paradox refers tothe lack of correlation between genome size and genetic complexity of an organismthe presence of genetic sequences that propagate themselves with...