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A bacteria's cells multiply every 30 minutes. One cell is the starting point for a scientist. After 12 hours, how many cells will there be?

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248

238

240

230

answer is A.

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Detailed Solution

It is given when a bacteria's cells multiply every 30 minutes.
Bacteria's cells multiply every 30 minutes = 2
Cells of bacteria in 1hour

= 22

Bacteria cells in 24 hours is;

⇒ 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22 × 22

Using the exponent law,

⇒ 2 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

⇒ 248

Thus, the bacteria’s cell in 24 hour is

248

.
Hence, option (1) is correct.

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