Radha is the friend of Ramu and Raju. One day, they both asked Radha when is her birthday. Radha said, I'm not going to say, but give you a clue. Radha then handed them a list of 10 dates and said, "My birthday is one of these dates."
July 14, July 16
May 15, May 16, May 19
June 17, June 18
Aug 14, Aug 15, Aug 17
Then she told in Ramu's ear only the month of her birthday. Then, she told only the day of birth Raju's ears . Then she asked Ramu "Did you get my birthday ?"
Ramu: "I don't know, but I'm sure Raju doesn't know either."
Raju: "I didn't know until Ramu said this, but now I know the birth date."
Ramu: "Now I got it too"
Q: What date is Radha's birthday out of the dates given above?
Answers
Given : Radha is the friend of Ramu and Raju. Radha handed them a list of 10 dates and said, "My birthday is one of these dates."
To find : Date of birth of Radha
Explanation:
Dates
MAY 15 , 16 , 19
JUNE 17 , 18
JULY 14 16
AUGUST 14 , 15 , 17
Ramu knows month only so Ramu does not correct date
but Ramu say Raju also do not know the correct date
hence the Month known to Ramu does not have unique date
19 or 18
hence MAY & JUNE can not be Month
So now Raju knows that
Month is JULY or AUGUST
14 Can not be date as then Raju would not know which month
Hence possible date are 16 JULY , 15 AUGUST & 17 AUGUST
but now Ramu says he also know date of birth
it means month is not august as if it would have been august then Ramu could not know which date
Hence 16 JULY is the DOB
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