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It takes 5 minutes to pass a rumor from one form one person to another person. The Tree of Rumour continues. How many persons would know the Rumour after 20 minutes?
  1. 16
  2. 27
  3. 81
  4. 90
Explanation

In the Tree of Rumour problem, one person passes the rumour to 2 other people every 5 minutes.

Therefore, the total number of people triples every 5 minutes.

0 minutes → 1 person

5 minutes → 3 persons

10 minutes → 9 persons

15 minutes → 27 persons

20 minutes → 81 persons

Using the formula:

3^20/5 =3^4 =81

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