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A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
Read Solution (Total 8)
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- one person telling to 2 that means he takes 2.5 min to 1 person....
now, 1 is telling to another 2 this two telling another 2 person and so on....
that means chain is 1 to 2, 2to 4, 4to 8, 8 to 16...
means 2 48 16....512.
upto this this will take 45 min now these person means 256 telling only 1 the total person willbe 768 & 45 + 2.5 = 47.5 min - 11 years agoHelpfull: Yes(27) No(5)
- 40 minutes
proof:
in first 5 min 1 person tells to 2 other people , in the next 5 min 2+1 tell to 6 other people , in the next 5 min 6+2+1 tell to 18 new people n in the next 5 min 18+6+2+1 tell to 27*2 new people n so on - 13 years agoHelpfull: Yes(6) No(9)
- 2^x = 768
x = log(768) / log(2)
x = 9.5849
Then times that by the doubling time = 5 minutes
9.5849 * 5 = 47.9245 minutes = 47 minutes, 55.47 seconds
- 11 years agoHelpfull: Yes(6) No(1)
- Ans is 50 min.
1->2->4->8->16......->512->1024
2^9=512 After this definitely one person need 5 min to tell to others. So totally 10 * 5 min =50 min - 13 years agoHelpfull: Yes(5) No(10)
- 2^8 x 3 = 768
to tell the secret to 2^1 persons it takes 5(5 x 1) minutes
to tell the secret to 2^8 persons it takes 40(5 x 8) minutes
then there will be remaining 3 persons who can be split as (2 + 1) persons
so obviously the time for (2 + 1) persons will be (5 + 2.5) minutes which will be 7.5 minutes
so total 2^8 x 3 (768) persons it will take (40 + 7.5)= 47.5 minutes - 6 years agoHelpfull: Yes(2) No(0)
- 768*5/2 = 1920
- 13 years agoHelpfull: Yes(1) No(13)
- The ans is exactly 45min. person
5-> 1+2=3
5->3*2=6
5->6*2=12
5->12*2=24
5->24*2=48
5->48*2=96
5->96*2=192
5->192*2=384
5->384*2=768, so this is the correct answer thing logically. exactly at the 45th minutes the truth will pass to 768 persons - 9 years agoHelpfull: Yes(1) No(0)
- 384*5 minutes=1920 minutes
- 13 years agoHelpfull: Yes(0) No(14)
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