A marketing company devised a methodology of spreading its message through one another. One person can tell it to 3 persons in 4 minutes and these three persons tell the other three persons each in further 4 minutes and the process continues so on. How many minutes will it take to spread the message to 2187 persons.
Choose the correct choice from the following.
A) 48 minutes
B) 24 minutes
C) 32 minutes
D) 28 minutes
E) 29 minutes
according to the given condition 3^1 + 3^2 + 3^3 + ........ = 2187   or 3(3^x - 1)/(3-1) = 2187   or 3(3^x - 1)/2 = 2187   or 3^x - 1 = 2187*2/3 = 4374/3= 
<gadget id="calculator">4374/3</gadget>
<output>1_458</output>
1458   or 3^x= 1459 so x = 6 to 7   so total time taken = (6to7)*4 = 24 to 28 min   but if we take only the last step persons then 3^x = 2187 so x = 7   so time = 7*4= 
<gadget id="calculator">7*4</gadget>
<output>28</output>
28 min   ANSWER:28 minutes
<result>D</result>
A marketing company devised a methodology of spreading its message through one another. One person can tell it to 3 persons in 4 minutes and these three persons tell the other three persons each in further 4 minutes and the process continues so on. How many minutes will it take to spread the message to 2187 persons.