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Q.How many times of mitotic division will take place to produce 512 cells from a single parent cell?

(a) 8
(b) 158
(c) 256
(d) 512
Manipur CohsemCouncil of Higher Secondary Education, Manipur (Higher Secondary 1st Year) 2020MCQ· 1mImportance★★★★★
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Each mitotic division doubles the cell number, so n divisions of one cell give 2^n cells; solving 2^n = 512 gives n = 9, a value that is not among the printed options.

In mitosis, one parent cell divides once to give 2 daughter cells, twice to give 4 cells, and so on. After n successive mitotic divisions, a single cell becomes 2^n cells.

We need the number of divisions n such that 2^n = 512.

Working it out: 2^1=2, 2^2=4, 2^3=8, 2^4=16, 2^5=32, 2^6=64, 2^7=128, 2^8=256, 2^9=512.

So the correct value is n = 9.

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