Recent activity by Lakshman Bhaiya

In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position.The only movement allowed for a step involves,...

$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is...

In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...

If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$

Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...

You should _________ when to say __________.no/nono / knowknow / knowknow / no

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{...