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!!
Answers
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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