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  4. How many mitotic divisions must occur in a cell of root tip to form 256 cells.

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Q. How many mitotic divisions must occur in a cell of root tip to form 256 cells.

ManipalManipal 2013

Solution:

$ 1\xrightarrow[{}]{{}}2\xrightarrow[{}]{2}4\xrightarrow[{}]{3}8\xrightarrow[{}]{4}16\xrightarrow[{}]{5}5 $ $ \downarrow 5 $ $ 32\xrightarrow[{}]{6}64\xrightarrow[{}]{7}\underset{\begin{smallmatrix} \downarrow 2 \\ 256 \end{smallmatrix}}{\mathop{128}}\, $ It can be done with a simple formula $ {{(2)}^{n}}, $ where n is the number of mitotic, division $ {{(2)}^{n}}=256 $ $ {{(2)}^{8}}=256(2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=256) $ So, 8 mitotic division.