Recent questions tagged gate2020

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The number of molecules of a nucleotide of molecular weight $300\:g$/mol present in $10$ picomoles is ____________ $\times10^{12}$ (round off to $2$ decimal places).
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The largest eigenvalue of the matrix $\begin{bmatrix} 4 &1 \\ -2& 1 \end{bmatrix}$ is ______________.
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A variable $Y$ is a function of $t$. Given that $Y\left ( t=0 \right )=1$ and $Y\left ( t=1 \right )=2,\dfrac{dY}{dt}$ in the interval $t=\left [ 0,1 \right ]$ can be ap...
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Some of the cytokinins used in plant tissue culture media are given below:$BAP$ZeatinKinetin$2iP$Which of these are synthetic analogs?$P$ and $Q$ only$Q$ and $S$ only$R$ ...
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A list of pathogens $(Group\; I)$ and a list of anti-microbial agents $(Group\; II)$ used to treat their infections are given below. Match the pathogens with the correspo...
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Match sub-cellular organelles listed in $Group\; I$ with their features listed in $Group\; II$:$$\begin{array}{|cl|cI|cI|cI|cI|c|}\hline&\textbf{Group I} & \textbf{Group ...
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Which of the following strategies are used by cells for metabolic regulation?Phosphorylation-dephosphorylationAllosteryFeedback inhibition$P$ and $Q$ only$P$ and $R$ only...
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The sequence of a $1$ $Mb$ long $DNA$ is random. This $DNA$ has all four bases occurring in equal proportion. The number of nucleotides, on average, between two successiv...
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The system of linear equations$$cx+y=5$$$$3x+3y=6$$has no solution when $c$ is equal to _______________________.
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A function $f$ is given as :$$f(X)=4X-X^{2}$$The function $f$ is maximized when $X$ is equal to _________________.
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An infinite series $S$ is given as:$S=1+2/3+3/9+4/27+5/81+\:.\dots$ (to infinity)The value of $S$ is ______________________ (round off to $2$ decimal places).
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The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$