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41
Which of the following conditions induce(s) the expression of $\beta$-galactosidase gene in the lac operon?Absence of glucoseAbsence of lactosePresence of glucosePresence...
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42
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...
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45
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...
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51
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 ...
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52
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53
The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ is $\_\_\_\_\_\_\_\_$.
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54
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 $\_\_\_\_\_\_\_\_\_$.
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55
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 $2$...
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57
If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$depends on $x y$depends only on $x$ an...
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58
Consider the following sample of numbers:\[9,18,11,14,15,17,10,69,11,13\]The median of the sample is$13.5$$14$$11$$18.7$
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59
The number of coins of ₹ $1$, ₹ $5$, and ₹ $10$ denominations that a person has are in the ratio $5: 3: 13$. Of the total amount, the percentage of money in ₹ $5$...
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60
For positive non-zero real variables $p$ and $q$, if\[\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,\]then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is$79$$8...
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64
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....
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65
The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$
–1 votes
2 answers
67
"You are delaying the completion of the task. Send ____________ contributions at the earliest."you areyouryou'reyore
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2 answers
68
References : __________ : : Guidelines: Implement(By word meaning)SightSiteCitePlagiarise
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1 answer
69
1 votes
1 answer
73
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75
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________.$33$$-3$$30$$21$
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2 answers
77
Eukaryotic transcription is carried out by DNA-dependent RNA polymeraseDNA-dependent DNA polymeraseRNA-dependent DNA polymeraseRNA-dependent RNA polymerase