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GATE2015-40
For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline F(X) & 0.5 & 0.6 & 0.8 & 1.0 \\ \hline \end{array}$The mean value of $X$ is ___________

For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline F(X) & 0.5 & 0.6 & 0.8 & 1.0 \\ \hline \end{array}$The mean value of $X$ is ___________

edited 10 hours ago in Others jothee 100 points

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GATE2015-39
What are the eigenvalues of the following matrix? $\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$ $2$ and $3$ $-2$ and $3$ $2$ and $-3$ $-2$ and $-3$

What are the eigenvalues of the following matrix? $\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$ $2$ and $3$ $-2$ and $3$ $2$ and $-3$ $-2$ and $-3$

edited 10 hours ago in Others jothee 100 points

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GATE2015-38
Match the compounds in $\text{Group I}$ with the correct entries in $\text{Group II}$ ... $\text{P-5, Q-2, R-1, S-3}$ $\text{P-4, Q-2, R-1, S-3}$ $\text{P-4, Q-5, R-3, S-1}$

Match the compounds in $\text{Group I}$ with the correct entries in $\text{Group II}$ ... $\text{P-5, Q-2, R-1, S-3}$ $\text{P-4, Q-2, R-1, S-3}$ $\text{P-4, Q-5, R-3, S-1}$

edited 10 hours ago in Others jothee 100 points

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GATE2015-37
How many rooted and unrooted phylogenetic trees, respectively, are possible with four different sequences? $3$ and $15$ $15$ and $3$ $15$ and $12$ $12$ and $3$

How many rooted and unrooted phylogenetic trees, respectively, are possible with four different sequences? $3$ and $15$ $15$ and $3$ $15$ and $12$ $12$ and $3$

edited 11 hours ago in Others jothee 100 points

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5

GATE2015-36
An isolated population on an island has the following genotypic frequencies: $\begin{array}{|c|c|c|c|} \hline \textrm{Genotype} & AA & Aa & aa \\ \hline \textrm{Frequency} & 0.3 & 0.4 & 0.3 \\ \hline \end{array}$ Assuming that there are only two alleles ($A$ and $a$) for the gene, the genotypic frequency of $AA$ in the next generation will be __________

An isolated population on an island has the following genotypic frequencies: $\begin{array}{|c|c|c|c|} \hline \textrm{Genotype} & AA & Aa & aa \\ \hline \textrm{Frequency} & 0.3 & 0.4 & 0.3 \\ \hline \end{array}$ Assuming that there are only two alleles ($A$ and $a$) for the gene, the genotypic frequency of $AA$ in the next generation will be __________

edited 11 hours ago in Others jothee 100 points

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GATE2015-35
The interaction between an antigen $(Ag)$ and a single-chain antibody $(Ab)$ was studied using Scatchard analysis. The result is shown below. The affinity of interaction and the total concentration of antibody, respectively, can be determined from slope and $Y$-intercept $Y$-intercept and slope $X$-intercept and slope slope and $X$-intercept

The interaction between an antigen $(Ag)$ and a single-chain antibody $(Ab)$ was studied using Scatchard analysis. The result is shown below. The affinity of interaction and the total concentration of antibody, respectively, can be determined from slope and $Y$-intercept $Y$-intercept and slope $X$-intercept and slope slope and $X$-intercept

edited 11 hours ago in Others jothee 100 points

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GATE2015-34
$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$ The system of linear equations in two variables shown above will have infinite solutions, if and only if, $b$ is equal to _________

$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$ The system of linear equations in two variables shown above will have infinite solutions, if and only if, $b$ is equal to _________

edited 11 hours ago in Others jothee 100 points

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GATE2015-33
Consider the following infinite series: $1+ r+r^2 +r^3+ \dots \dots \infty$ If $r = 0.3$, then the sum of this infinite series is ____________

Consider the following infinite series: $1+ r+r^2 +r^3+ \dots \dots \infty$ If $r = 0.3$, then the sum of this infinite series is ____________

edited 11 hours ago in Others jothee 100 points

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9

GATE2015-32
Choose the appropriate pair of primers to amplify the following DNA fragment by the polymerase chain reaction (PCR). $\textrm{5' - GACCTGTGG- - - - - - - - - - - - - - - - - - ATACGGGAT - 3'}$ $\textrm{3' - CTGGACACC - - - - - - - - - - - - - - - - - - TATGCCCTA - 5'}$ ... $P$ and $R$ $P$ and $S$ $Q$ and $R$ $Q$ and $S$

Choose the appropriate pair of primers to amplify the following DNA fragment by the polymerase chain reaction (PCR). $\textrm{5' - GACCTGTGG- - - - - - - - - - - - - - - - - - ATACGGGAT - 3'}$ $\textrm{3' - CTGGACACC - - - - - - - - - - - - - - - - - - TATGCCCTA - 5'}$ ... $P$ and $R$ $P$ and $S$ $Q$ and $R$ $Q$ and $S$

edited 11 hours ago in Others jothee 100 points

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GATE2015-31
Which one of the following graphs represents uncompetitive inhibition?

Which one of the following graphs represents uncompetitive inhibition?

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GATE2015-20
Which one of the following amino acids has the highest probability to be found on the surface of a typical globular protein in aqueous environment? Ala Val Arg Ile

Which one of the following amino acids has the highest probability to be found on the surface of a typical globular protein in aqueous environment? Ala Val Arg Ile