A puzzle a day..! :)

vinod1993

vinod1993

@vinod1993-r3yTlk Oct 14, 2024
There are 4 mathematicians - Brahma, Sachin, Prashant and Nakul - having lunch in a hotel. Suddenly, Brahma thinks of 2 integer numbers greater than 1 and says, "The sum of the numbers is..." and he whispers the sum to Sachin. Then he says, "The product of the numbers is..." and he whispers the product to Prashant. After that following conversation takes place :
Sachin : Prashant, I don't think that we know the numbers.
Prashant : Aha!, now I know the numbers.
Sachin : Oh, now I also know the numbers.
Nakul : Now, I also know the numbers.
What are the numbers?
try this..! please do not check google or MSN or somewhere fr answers..! its worthless to search..! instead think..! pls..!

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  • Anil Jain

    Anil Jain

    @CrazyBoy Jul 24, 2012

    Old puzzle that was asked on CE way back and no-one could find an answer.

    #-Link-Snipped-#

    That time we were confused that whether the answer is 3,8 or 4,13

    😔

    -CB
  • Anil Jain

    Anil Jain

    @CrazyBoy Jul 24, 2012

    #-Link-Snipped-#
    - answer please; for the old puzzle asked way back in 2008.
  • Prashanth_p@cchi

    Prashanth_p@cchi

    @prashanth-p-at-cchi-rg0z63 Jul 24, 2012

    vinod1993
    Sachin : Prashant, I don't think that we know the numbers.
    - Implies that the Sum is greater than 6.... Right ??? If it is 5 or 4 then he would have guessed the numbers as 2,3 and 2,2 respectively.​
    vinod1993
    Prashant : Aha!, now I know the numbers.
    - Implies that the Product is unique i.e., If X is the product(which he knows), then it can be obtained only by a*b or b*a. So, he gets to know, what a and b are..... Right???

    Ex: If X is 91, then the numbers are 13 and 7 only.

    vinod1993
    Sachin : Oh, now I also know the numbers.
    - Based on Prashant's statement, Sachin would have known that the Product was Unique. Since he knows the Sum, there would be only one combo which yields that X.

    Ex: If sum is 18, then only 11 and 7 will yield a unique X which is 77. S he gets to know the numbers.

    vinod1993
    Nakul : Now, I also know the numbers.
    I am seriously not able to figure out, how he will get to know!!!!!!

    vinod1993
    What are the numbers?
    I really don't know.

    vinod1993
    please do not check google or MSN or somewhere fr answers..! its worthless to search..! instead think..! pls..!
    I would never do that!! no fun, If any of us does that!😉
  • vinod1993

    vinod1993

    @vinod1993-r3yTlk Jul 25, 2012

    good to knw that u dnt search fr answers....! 😀