0 votes
0 answers
121
DNA sample collected from an unidentified bacterial species $(Y)$ contains $13 \%$ of adenine. The $G+C$ content (in percentage) of $Y$ is ____________.
0 votes
0 answers
124
If $A=\left(\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right)$, the value of $\left|A^{4}+3 A^{2}-5 A+6 I\right|$ is _____________.
0 votes
0 answers
125
If $f(x)=\frac{\sin x+\cos x}{\sin x-\cos x}$, the value of $f^{\prime}(x)$ at $x=0$ is ___________.
0 votes
0 answers
126
If $f(2)=5$ and $(f(x))(f(x+1))=3$ for all real values of $x$, the value of $f(10)$ is ____________.
0 votes
0 answers
130
A proportional controller is used to control the temperature of an autoclave from $60^{\circ} \mathrm{C}$ to $130^{\circ} \mathrm{C}$. If the proportional band setting of...
0 votes
0 answers
132
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...
0 votes
0 answers
134
What is the order of the differential equation given below?$\dfrac{d^{2}y}{dx^{2}} – 6x = 3x^{4} – 2x^{3} + 2$$1$$2$$3$$4$
0 votes
0 answers
135
If the eigenvalues of a $2 \times 2$ matrix $P$ are $4$ and $2,$ then the eigenvalues of the matrix $P^{-1}$ are$0, 0$$0.0625, 0.25$$0.25, 0.5$$2, 4$
0 votes
0 answers
137
Match the media component (Column I) with its role (Column II).$$\begin{array} {ll} \textbf{Column I} & \textbf{Column I} \\ \text{P. Sucrose} & \text{1. Anti-foam agen...
0 votes
1 answer
138
The binding free energy of a ligand to its receptor protein is $-11.5 \; \text{kJ mol}^{-1}$ at $300 \; \text{K.}$ What is the value of the equilibrium binding constant?U...
0 votes
0 answers
140
In binomial nomenclature, the name of a bacterial strain is written with the first letter of __________ word(s) being capitalized.firstsecondneitherfirst and second
0 votes
0 answers
141
The type of nucleic acid present in $\lambda$-phage isDouble stranded $\text{DNA}$Single stranded circular $\text{DNA}$Single stranded $\text{DNA}$Single stranded $\text{...
0 votes
0 answers
142
Which of the following statements about reversible enzyme inhibitors are $\text{CORRECT}?$Uncompetitive inhibitors bind only to the enzyme-substrate complexNon-competitiv...
0 votes
0 answers
143
Match the component of eukaryotic cells (Column I) with its respective function (Column II).$$\begin{array}{lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. Lyso...
0 votes
0 answers
145
Terpenoids are made of _________ units.amino acidcarbohydrateisoprenetriacylglycerol
0 votes
0 answers
146
Match the microbial product (Column I) with its respective application (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. Methane} & &...
0 votes
0 answers
147
Which of the following is $\text{NOT}$ used for generating an optimal alignment of two nucleotide sequences?Gap penaltiesMatch scoresMismatch scoresNucleotide composition...
–1 votes
0 answers
150
Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid n...
0 votes
1 answer
152
The degree of reduction of lactic acid $(\text{C}_{3} \text{H}_{6} \text{O}_{3})$ is __________.
0 votes
0 answers
153
Consider a nonlinear algebraic equation, $x\ln x + x – 1 = 0.$ Using the Newton-Raphson method, with the initial guess of $x_{0} = 3,$ the value of $x$ after one iterat...
0 votes
0 answers
154
The probability density function of a random variable $X$ is $p(x) = 2e^{-2x}.$ The probability $P(1 \leq X \leq 2)$ (rounded off to two decimal places) is _________.
0 votes
0 answers
155
The maximum value of the function $f(x) = 3x^{2} – 2x^{3}$ for $x>0$ is ________.
0 votes
0 answers
156
The specific growth rate of a yeast having a doubling time of $0.693 \; \text{h}$ (rounded off to nearest integer) is ________ $\text{h}^{-1}.$
–1 votes
0 answers
158
For a pure species, the slope of the melting line$$\frac{dP}{dT} \; \text{at} \; -2 \; ^{\circ} \textrm{C} \; \text{is} -5.0665 \times 10^{6} \text{Pa K}^{-1}.$$The diff...
0 votes
0 answers
160
Match the media component used in mammalian cell culture (Column I) with its respective role (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\...