Answer / guest

Assume that nobody hears it more than once and the
population of the World is approximately 5.6

billions.

Everybody in the World will get to know the scandal in 8 hours.

You came to know of a scandal and you passed it on to 4
persons in 30 minutes. So total (1+4) 5

persons would know about it in 30 minutes.

By the end of one hour, 16 more persons would know about it.
So total of (1+4+16) 21 persons would

know about it in one hour.

Similarly, the other (1+4+16+64) persons would have know
about it in one and a half hours.

(1+4+16+64+256) persons would have know about it in two
hours and so on...

It can be deduced that the terms of the above series are the
power of 4 i.e. 4^0, 4^1, 4^2, 4^3 and

so on upto (2N+1) terms. Also, the last term would be 4^2N
where N is the number of hours.

Sum of the above mentioned series = [4^(2N+1)-1]/3

The sum of the series must be 5.6 billions. Hence, equating
the sum of the series with 5.6

billions, we get N=8 hours.

Scandals travel FAST !!!

Answer / arvind ragunathan

the sum goes out this way : 4+4^2+.....4^11 to reach 5.6
billion. the 30 minutes count starts with 5 people. so
there are 10 '30 minutes' in this sum. that amounts to 300
minutes. hence 5 hours.

Answer / swati

I dont know the answer, but wud like to do one small
correction in first answer posted..

in first 30 mins 4 people will come to know..
after that, for next 30 mins total 1+4 = 5 people including
urself are ready to inform another 20 people..

it's not da condition that, once u told to 4 people, u cant
continue with telling to 4 new poeople about it..
right..?! ;)

now, at da end of 1 hour total 25 people know about
scandal..

and so on........ :)

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