Recent questions without answers

Ten playing cards numbered $1,2,3, \ldots, 10$ are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is d...

The values of the consistency index ' $K$ ' and the flow behavior index ' $n$ ' of a dilatant fluid are 0.415 (in CGS units) and $1.23$, respectively. The value of the ap...

An evaporator is insulated using glass wool material of $0.15 \mathrm{~m}$ thickness. The inner most surface and the outer surface of the insulation are at $700{ }^{\circ...

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...

A dNTP master-mix is prepared by combining $40 \mu L$ of each $20 \mathrm{mM}$ dNTP stock (dATP, dCTP, dGTP and dTTP). $4 \mu L$ of this dNTP master-mix is added to a PCR...

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 con...

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$

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$

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...

In binomial nomenclature, the name of a bacterial strain is written with the first letter of __________ word(s) being capitalized.firstsecondneitherfirst and second

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{...

Which of the following statements about reversible enzyme inhibitors are $\text{CORRECT}?$Uncompetitive inhibitors bind only to the enzyme-substrate complexNon-competitiv...

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...

In animal cells, the endogenously produced $\text{miRNAs}$ silence gene expression bybase pairing with the $3’$-untranslated region of specific $\text{mRNAs}$blocking $\t...

Match the microbial product (Column I) with its respective application (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. Methane} & &...

Which of the following is $\text{NOT}$ used for generating an optimal alignment of two nucleotide sequences?Gap penaltiesMatch scoresMismatch scoresNucleotide composition

The recognition sequences of four Type-II restriction enzymes $\text{(RE)}$ are given below. The symbol $(\downarrow)$ indicates the cleavage site. Identify the $\text{RE...

Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific re...

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...

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 iteratio...

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 _________.

The maximum value of the function $f(x) = 3x^{2} – 2x^{3}$ for $x>0$ is ________.

A fermentation broth of density $1000 \; \text{kg m}^{-3}$ and viscosity $10^{-3} \; \text{kg m}^{-1} \text{s}^{-1}$ is mixed in a $100\;\text{L}$ fermenter using a $0.1 ...

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...

Which of the following conditions will contribute to the stability of a gene pool in a natural population?Large populationNo net mutationNon-random matingNo selection $...

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} \\...

Match the cell type (Column I) with its function (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{P. B cells} & & \text{1. Humoral immu...

A $2\times 2$ matrix $\textbf{P}$ has an eigen value $\lambda_{1}=2$ with eigenvector $x_{1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ and another eigenvalue $\lambda_{2}=5...

Match the stationary phase (Column I) with its corresponding chromatography technique (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\ \text{...

Which of the following statements are $\text{CORRECT}$ for a controller?In a proportional controller, a control action is proportional to the errorIn an integral controll...

Which of the following are CORRECT about protein structure?Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atomsTertia...

The enzymes involved in ubiquitinylation of cell-cycle proteins are$\text{E}_{1}$ and $\text{E}_{2}$ Only$\text{E}_{1}$ and $\text{E}_{3}$ Only$\text{E}_{1}$ and $\text{E...

The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is $\text{CORRECT}?$I...

Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food?InfraredCircular dichroismNuclear...

Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a $\text{DNA}$ base pair mismatch. The $\text{CORRECT}$ combination of enzymes that are inv...

Consider the ordinary differential equation $\dfrac{dy}{dx} = f(x,y) = 2x^{2} – y^{2}.$ If $y(1)=1,$ the value(s) of $y(1.5),$ using the Euler’s implicit method $\left[y_...

Which of the following statements are $\text{CORRECT}$ for an enzyme entrapped in a spherical particle?Effectiveness factor is ratio of the reaction rate with diffusion-l...

Which of the following is(are) $\text{COMMON}$ feature(s) for both aerobic and anaerobic bacterial cultures?Glycolysis$\text{NAD}^{+}$ is the oxidising agentOxidative pho...

Which of the following plot(s) is(are) $\text{CORRECT}$ for an enzyme that obeys Michaelis-Menten kinetics, assuming $[S] \ll K_{m}$?$[S]$ is the concentration of the sub...