Recent questions tagged gate2014

If $y =x^x$, then $\frac{dy}{dx}$ is$x^x(x-1)$$x^{x-1}$$x^x(1 + \log x)$$e^x(1 + \log x)$

Which of the following statements is true for the series given below?$$S_n=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}}+\dots+\frac{1}{\sqrt{n}} $$$S_n$ con...

The graph of the function $F(x) =\frac{x}{k_1x^2+k_2x+1}$ for $0<x<\infty$ is

Cholera toxin increases $cAMP$ levels bymodifying $G_i$ proteinmodifying $G_s$ proteinbinding to adenylate cyclaseactivating $cAMP$ phosphodiesterase

In a relatively large but finite and closed population of sexually reproducing diploid organisms, the frequency of homozygous genotype PP changes from 0.40 to 0.50 and th...

Topological Winding number of a $\text{2.0 kb}$ covalently closed circular DNA was found to be $191$ with a writhing number of $-4$. Hence, its $\text{LINKING NUMBER}$ an...

Consider a population of $10,000$ individuals, of which $2500$ are homozygotes (PP) and $3000$ are heterozygotes (Pp) genotype. The frequency of allele p in the populatio...

Match the following photoreceptors with their prosthetic groups and spectral specificity:$\begin{array}{|l|l|l|} \hline \textbf{Photoreceptor} & \textbf{Moiety that absor...

Match the following plant sources with their secondary metabolites and medical uses:$\begin{array}{|l|l|l|} \hline \textbf{Source plant} & \textbf{Secondary metabolites} ...

The pungency of mustard seeds is primarily due to secondary metabolites such as isothiocyanate and nitrile. The pungency is usually felt only when the seeds are crushed. ...

In a mouse genome, the numbers of functional $V\alpha, J\alpha, V\beta, D\beta, J\beta$ gene segments are $\text{79, 38, 21, 2 and 11,}$ respectively. The total number of...

The percentage $\text{SIMILARITIES and IDENTITIES,}$ respectively, between the two peptide sequences given below will be ____________ $\%$ and ____________ $\%$Peptide I ...

In an affine gap penalty model, if the gap opening penalty $-20$, gap extension penalty is $-4$ and gap length is $8$, the gap score is__________.

For their efficient translation, eubacterial $mRNAs$ possess a Shine-Dalgarno sequence for its recognition by an anti-Shine-Dalgarno sequence $(ASD)$ in the ribosomes. Th...

Match the items in $\text{Group I}$ with $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \text{Group I} & & \text{Group II} \\ \hline P. & \text{Receptor tyrosine kin...

Match the immunoglobulin class in $\text{Group I}$ with its properties in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hl...

In a genetic cross between the genotypes $WWXX$ and $\text{wwxx}$, the following phenotypic distributions were observed among the $F_2$ progeny: $\text{WX, 562; wx, 158; ...

The length of the minimum unique stretch of DNA sequence that can be found only once in a $3$ billion base pairs long genome is$14$$15$$16$$18$

Lysine is being produced in a lab-scale reactor by a threonine auxotroph. After 2 weeks of operation it was observed that the concentration of lysine in the reactor was g...

If a plant is shifted to cold temperature, which of the following changes would take place in its membrane?Ratio of unsaturated to saturated fatty acids would increaseRat...

If protoplasts are placed in distilled water, they swell and burst as a result of endosmosis.The plot representing the kinetics of burst is

Which of the following statements with respect to the orientation of the nitrogenous bases to the pentose sugars, and the puckering of the sugar, is correct?Anti, and 2’-...

A dioecious plant has $XX$ sexual genotype for female and $XY$ for male. After double fertilization, what would be the genotype of the embryos and endosperms?$100\%$ ovul...

The amino acid substitution matrices in decreasing order of stringency for comparing protein sequences arePAM$250$, PAM$120$, PAM$100$PAM$100$, PAM$120$, PAN$250$PAM$250$...

The active site in the alpha/beta barrel structures is usually locatedinside the barrelat the amino side of the strandsat the carboxy side of the strandsat any arbitrary ...