In an interview, the interviewer asked a candidate about a four digit number whose first two as well as last two digits are perfect squares.
The conversations between the interviewer and the candidate are as follows
Interviewer : Can you tell me what number I am thinking of ?
Candidate : No I am not sure.
Interviewer : There are no zeroes in the number.
Candidate : I am still not sure
Interviewer : There is no repetition of digits.
Candidate : Sorry, I am not sure even now.
Interviewer : OK the sum of digits is a prime number.
Candidate : Sorry.
Interviewer : The first two digit number is bigger than the last two digit number. And no digit is 5. If you still don't know then I am sorry you may leave the room.
Candidate : Yes sir, now I know the number.
Can you tell what the number is ?
Edited by Utkrisht123, 05 November 2013 - 04:37 AM.