Question

Salman and Akshay meet Katrina in a party. Both ask her birthday. Katrina being a quiz lover gives them a roundabout answer. Gives them 10 dates and says it is one of these dates. January - 9, 11, 21 March - 13, 18 May - 7, 11 November - 7, 9, 13 She informs the correct month to Salman and the correct date to Akshay. Katrina then asks Salman to guess the right birthday. Salman says, "I can't, but I am sure that Akshay will also be not able to guess it." Then Akshay says, "Earlier I was confused but now hearing Salman's statement I know your birthday." Hearing this Salman says, "In that case, I also know it." Both champions were able to guess it right. Can you!!

Answer 1

Given :   10 dates  by Katrina and told Salman Month & Akshay Date

To find : Date of birth of Katrina

Solution:

Months                Date

January                 9          11                              21

March                                           13          18

May               7                   11

November    7        9                    13

Salman knows month only and each month has atleast two dates so Salmant can not date of birth

but salman says akshay also does not know Date of birth

hence Month known to Salman does not have any unique date

like 18 or 21   Hence month known to Salman is not January or March

Earlier Akshay did not know that but now he knows that Month can not be January March

hence Akshay left with May & November

Now akshay knows date of birth hence it can not be 7  as it is in both months

So we left with 3 Options

May 11   , November  9  & November 13  

But now  Salman says he also know date of birth now

Hence it must be May month as it is left with 1 date  

Hence May 11 is date of birth  

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