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GATE2018-55

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A rod shaped bacterium has a length of $2 \: \mu m$, diameter of $1 \mu m$ and density the same as that of water. If proteins constitute $15 \%$ of the cell mass and the average protein has a mass of $50$ kDa, the number of proteins in the cell is __________ ($1$ Da $= 1.6 \times 10^{-24}$g)
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