It takes five minutes to pass a rumour from one person to two other persons The tree of rumour conti...........

Logical Reasoning(Master ) Arithmetical Reasoning

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

45 min

25 min

30 min

36 min

39 min

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Explanation:

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = 3² persons will get
after 15 =5x3 min ......9x2 + 9 =27 = 3³ persons will get news.
after 5x6 mins ... 3⁶
= 729 persons will get news.
Therefore, time taken to spread the rumour to 729 persons is 30 minutes.